Esteve C., Geshkovski G., Pighin D., Zuazua E. . Turnpike in Lipschitz-nonlinear optimal control (2020) Abstract. We present a new proof of the turnpike property…
View More Turnpike in Lipschitz-nonlinear optimal controlCategory: Publications
Publications from the Chair of Computational Mathematics
Sparse approximation in learning via neural ODEs
Esteve C., Geshkovski B. Sparse approximation in learning via neural ODEs (2021) Abstract. We consider the continuous-time, neural ordinary differential equation (neural ODE) perspective of deep…
View More Sparse approximation in learning via neural ODEsFlow decomposition for heat equations with memory
G. Wang, Y. Zhang, E. Zuazua. Flow decomposition for heat equations with memory (2021) J. Math. Pures Appl. ISSN:0021-7824. https://doi.org/10.1016/j.matpur.2021.11.005 Abstract. We build up a…
View More Flow decomposition for heat equations with memoryAveraged dynamics and control for heat equations with random diffusion
Bárcena J.A., Zuazua E.. Averaged dynamics and control for heat equations with random diffusion (2021) Syst. Control. Lett. Vol. 158. https://doi.org/10.1016/j.sysconle.2021.105055 Abstract. This paper deals…
View More Averaged dynamics and control for heat equations with random diffusionDifferentiability with respect to the initial condition for Hamilton-Jacobi equations
Esteve C., Zuazua E.. Differentiability with respect to the initial condition for Hamilton-Jacobi equations (2021) Abstract. We prove that the viscosity solution to a Hamilton-Jacobi…
View More Differentiability with respect to the initial condition for Hamilton-Jacobi equationsInterpolation and approximation via Momentum ResNets and Neural ODEs
Domènec Ruiz-Balet, Elisa Affili , Enrique Zuazua. Interpolation and approximation via Momentum ResNets and Neural ODEs (2021) Abstract. In this article, we explore the effects…
View More Interpolation and approximation via Momentum ResNets and Neural ODEsControl of certain parabolic models from biology and social sciences
Domènec Ruiz-Balet, , Enrique Zuazua. Control of certain parabolic models from biology and social sciences (2021) Abstract. These lecture notes address the controllability under state…
View More Control of certain parabolic models from biology and social sciencesControl and Numerical approximation of Fractional Diffusion Equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua. Control and Numerical approximation of Fractional Diffusion Equations (2021) Handb. Numer. Anal. Abstract. The aim of this work is to…
View More Control and Numerical approximation of Fractional Diffusion EquationsSidewise control of 1-d waves
Yesim Sarac, Enrique Zuazua. Sidewise control of 1-d waves. (2021) Abstract. We analyze the sidewise controllability for the variable coefficients one-dimensional wave equation. The control…
View More Sidewise control of 1-d wavesA framework for randomized time-splitting in linear-quadratic optimal control
Daniël Veldman, Enrique Zuazua. A framework for randomized time-splitting in linear-quadratic optimal control (2021) Abstract. Inspired by the successes of stochastic algorithms in the training of…
View More A framework for randomized time-splitting in linear-quadratic optimal controlThe Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term
Shi Jin, Yuhua Zhu, Enrique Zuazua. The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing Term (2021) Numer Math (Heidelb) Abstract. We consider the Vlasov-Fokker-Planck equation…
View More The Vlasov-Fokker-Planck Equation with High Dimensional Parametric Forcing TermSpecial issue in the honor of Enrique Zuazua’s 60th birthday
G. Buttazzo, E. Casas, L. de Teresa, R. Glowinski, G. Leugering, E. Trélat and X. Zhang (eds.). Special issue in the honor of Enrique Zuazua’s 60th…
View More Special issue in the honor of Enrique Zuazua’s 60th birthdayMultilevel control by duality
Umberto Biccari, Enrique Zuazua. Multilevel control by duality (2021) Abstract. We discuss the multilevel control problem for linear dynamical systems, consisting in designing a piece-wise constant…
View More Multilevel control by dualityModel predictive control with random batch methods for a guiding problem
Ko Dongnam, Zuazua Enrique. Model predictive control with random batch methods for a guiding problem (2021). Math. Models Methods Appl. Sci., Vol. 31, No. 8,…
View More Model predictive control with random batch methods for a guiding problemClassical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems
Heiland J., Zuazua E. Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systems (2021) SIAM J. Control Optim., Vol.…
View More Classical system theory revisited for Turnpike in standard state space systems and impulse controllable descriptor systemsSlow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems
Zhong-Jie Han, E. Zuazua, Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problems (2021) Abstract: This paper is devoted to analysing the explicit slow decay…
View More Slow decay and Turnpike for Infinite-horizon Hyperbolic LQ problemsOptimal actuator design via Brunovsky’s normal form
B. Geshkovski, E. Zuazua, Optimal actuator design via Brunovsky’s normal form (2021) Abstract: In this paper, by using the Brunovsky normal form, we provide a…
View More Optimal actuator design via Brunovsky’s normal formOptimal control for neural ODE in a long time horizon and applications to the classification and simultaneous controllability problems
Jon Asier Bárcena-Petisco. Optimal control for neural ODE in a long time horizon and applications to the classification (2021) Abstract. We study the optimal control…
View More Optimal control for neural ODE in a long time horizon and applications to the classification and simultaneous controllability problemsThe turnpike property in nonlinear optimal control – A geometric approach
N. Sakamoto, E. Zuazua. The turnpike property in nonlinear optimal control – A geometric approach. (2021) Automatica., Vol. 134 (2021), p. 109939 Abstract: This paper…
View More The turnpike property in nonlinear optimal control – A geometric approachInitial data identification for the one-dimensional Burgers equation
Thibault Liard, Enrique Zuazua. Initial data identification for the one-dimensional Burgers equation. (2021). IEEE T Automat. Contr. DOI: 10.1109/TAC.2021.3096921 Abstract. In this paper, we study…
View More Initial data identification for the one-dimensional Burgers equationA quantitative analysis of Koopman operator methods for system identification and predictions
Christophe Zhang, Enrique Zuazua. A quantitative analysis of Koopman operator methods for system identification and predictions (2021) Abstract. We give convergence and cost estimates for…
View More A quantitative analysis of Koopman operator methods for system identification and predictionsOptimal control of linear non-local parabolic problems with an integral kernel
Umberto Biccari, Víctor Hernández-Santamaría, Loic Louison, Abdennebi Omrane. Optimal control of linear non-local parabolic problems with an integral kernel. (2021) Abstract. We consider a linear non-local…
View More Optimal control of linear non-local parabolic problems with an integral kernelBlow-up results for a logarithmic pseudo-parabolic p(.)-Laplacian type equation
Abita Rahmoune, Umberto Biccari. Blow-up results for a logarithmic pseudo-parabolic -Laplacian equation. (2021) Abstract. In this paper, we consider an initial-boundary value problem for the following…
View More Blow-up results for a logarithmic pseudo-parabolic p(.)-Laplacian type equationLocal null controllability of the penalized Boussinesq system with a reduced number of controls
J.A. Bárcena-Petisco, Kevin Le Balc’H. Local null controllability of the penalized Boussinesq system with a reduced number of controls (2021) Abstract. In this paper we consider…
View More Local null controllability of the penalized Boussinesq system with a reduced number of controlsControl of Hyperbolic and Parabolic Equations on Networks and Singular limits
J.A. Bárcena-Petisco, M. Cavalcante, G.M. Coclite, N. de Nitti, Enrique Zuazua. Control of Hyperbolic and Parabolic Equations on Networks and Singular limits (2021) Abstract. We study…
View More Control of Hyperbolic and Parabolic Equations on Networks and Singular limitsControllability of one-dimensional viscous free boundary flows
B. Geshkovski, E. Zuazua. Controllability of one-dimensional viscous free boundary flows. Siam. J. Control. Optim (2021), Vol. 59, No. 3, pp. 1830–1850. https://doi.org/10.1137/19M1285354 Abstract. In…
View More Controllability of one-dimensional viscous free boundary flowsThe turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation
C. Esteve, H. Kouhkouh, D. Pighin, E. Zuazua. The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equation Abstract: In this work, we analyze the…
View More The turnpike property and the long-time behavior of the Hamilton-Jacobi-Bellman equationThe turnpike property in semilinear control
D. Pighin The turnpike property in semilinear control ESAIM Control Optim. Calc. Var., Vol. 26 (2021), pp. 1-48 Abstract.An exponential turnpike property for a semilinear…
View More The turnpike property in semilinear controlNonuniqueness of minimizers for semilinear optimal control problems
D. Pighin. Nonuniqueness of minimizers for semilinear optimal control problems. J Eur. Math. Soc. (2021) Abstract. A counterexample to uniqueness of global minimizers of semilinear…
View More Nonuniqueness of minimizers for semilinear optimal control problemsConstrained control of gene-flow models
Mazari I., Ruiz-Balet D., Zuazua E.. Constrained control of gene-flow models. (2021) ⟨hal-02373668⟩ Abstract. In ecology and population dynamics, gene-flow refers to the transfer of…
View More Constrained control of gene-flow modelsNeural ODE Control for Classification, Approximation and Transport
Ruiz-Balet D., Zuazua E. Neural ODE Control for Classification, Approximation and Transport (2021) Abstract. We analyze Neural Ordinary Differential Equations (NODEs) from a control theoretical…
View More Neural ODE Control for Classification, Approximation and TransportThe Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking Terms
M. Gugat, M. Schuster, E. Zuazua. The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-Smooth Tracking Terms, in “Stabilization of Distributed Parameter Systems:…
View More The Finite-Time Turnpike Phenomenon for Optimal Control Problems: Stabilization by Non-smooth Tracking TermsLarge-time asymptotics in deep learning
Esteve C., Geshkovski B., Pighin D., Zuazua E. Large-time asymptotics in deep learning (2021). hal-02912516 Abstract. It is by now well-known that practical deep supervised learning…
View More Large-time asymptotics in deep learningMultiplicity of solutions for fractional q(.)-Laplacian equations
Abita Rahmoune, Umberto Biccari. Multiplicity of solutions for fractional -Laplacian equations. (2021) Abstract. In this paper, we deal with the following elliptic type problem where is…
View More Multiplicity of solutions for fractional q(.)-Laplacian equationsMultilevel Selective Harmonic Modulation via Optimal Control
Deyviss Jesús Oroya-Villalta, Carlos Esteve-Yagüe Umberto Biccari. Multilevel Selective Harmonic Modulation via Optimal Control. (2021) Abstract. We consider the Selective Harmonic Modulation (SHM) problem, consisting in…
View More Multilevel Selective Harmonic Modulation via Optimal ControlLocal null controllability of a model system for strong interaction between internal solitary waves
Jon Asier Bárcena-Petisco, Sergio Guerrero and Ademir F. Pazoto. Local null controllability of a model system for strong interaction between internal solitary waves. Commun. Contemp.…
View More Local null controllability of a model system for strong interaction between internal solitary wavesControl and Deep Learning: Some connections
B. Geshkovski, E. Zuazua. Control and Deep Learning: Some connections (2021) This note is an extended abstract for a talk given by the second author…
View More Control and Deep Learning: Some connectionsInternal control for a non-local Schrödinger equation involving the fractional Laplace operator
U. Biccari Internal control for a non-local Schrödinger equation involving the fractional Laplace operator (2021) Abstract: We analyze the interior controllability problem for a nonlocal…
View More Internal control for a non-local Schrödinger equation involving the fractional Laplace operatorNonnegative control of finite-dimensional linear systems
Lohéac J., Trélat E., Zuazua E. Nonnegative control of finite-dimensional linear systems. Ann. I. H. Poincare-An., Vol. 38, No. 2, pp. 301-346. (2021) DOI: https://doi.org/10.1016/j.anihpc.2020.07.004…
View More Nonnegative control of finite-dimensional linear systemsReachable subspaces, control regions and heat equations with memory
G. Wang, Y. Zhang, E. Zuazua. Reachable subspaces, control regions and heat equations with memory. (2021) Abstract. We study the controlled heat equations with analytic…
View More Reachable subspaces, control regions and heat equations with memoryRotor imbalance suppression by optimal control
M. Gnuffi, D. Pighin, N. Sakamoto Rotor imbalance suppression by optimal control (2021) Abstract. An imbalanced rotor is considered. A system of moving balancing masses…
View More Rotor imbalance suppression by optimal controlAnalysis and numerics solvability of backward-forward conservation laws
Thibault Liard, Enrique Zuazua. Analysis and numerics solvability of backward-forward conservation laws. (2020) Abstract. In this paper, we study the problem of initial data identification…
View More Analysis and numerics solvability of backward-forward conservation lawsThe Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes
Esteve C., Zuazua E.. The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes SIAM J. Math. Anal., Vol. 52, No. 6, pp. 5627–5657 (2020). https://doi.org/10.1137/20M1330130…
View More The Inverse Problem for Hamilton-Jacobi equations and Semiconcave EnvelopesNull-controllability of perturbed porous medium gas flow
B. Geshkovski,Null-controllability of perturbed porous medium gas flow. ESAIM:COCV, vol. 26, No. 85 (2020). DOI: 10.1051/cocv/2020009 Abstract: In this work, we investigate the null-controllability of…
View More Null-controllability of perturbed porous medium gas flowControl under constraints for multi-dimensional reaction-diffusion monostable and bistable equations
Ruiz-Balet D., Zuazua E.. Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations. J. Math. Pures Appl, vol. 143, pp. 345-375 (2020) https://doi.org/10.1016/j.matpur.2020.08.006 Abstract.…
View More Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equationsSparse source identification of linear diffusion–advection equations by adjoint methods
Monge A., Zuazua E. Sparse source identification of linear diffusion–advection equations by adjoint methods. Syst. Control. Lett, vol. 145 (2020). DOI: https://doi.org/10.1016/j.sysconle.2020.104801 Abstract: We present…
View More Sparse source identification of linear diffusion–advection equations by adjoint methodsThe turnpike with lack of observability
Pighin D., Sakamoto N. The turnpike with lack of observability (2020) Abstract: We obtain turnpike results for optimal control problems with lack of stabilizability in the…
View More The turnpike with lack of observabilityControllability of a Class of Infinite Dimensional Systems with Age Structure
Maity D., Tucsnak M., Zuazua E. Controllability of a Class of Infinite Dimensional Systems with Age Structure. Control Cybern. Vol. 48 (2020), No. 2, pp.…
View More Controllability of a Class of Infinite Dimensional Systems with Age StructureShape turnpike for linear parabolic PDE models
Lance G., Trélat E., Zuazua E. Shape turnpike for linear parabolic PDE models Syst. Control. Lett. Vol. 142 (2020). DOI: 10.1016/j.sysconle.2020.104733 Abstract: We introduce and…
View More Shape turnpike for linear parabolic PDE modelsA stochastic approach to the synchronization of coupled oscillators
Umberto Biccari, Enrique Zuazua. A stochastic approach to the synchronization of coupled oscillators. Frontiers in Energy Research, section Smart Grids. Front. Energy Res. Vol. 8 (2020).…
View More A stochastic approach to the synchronization of coupled oscillatorsFull probabilistic solution of a infinite dimensional linear control system with random initial and final conditions
J.-C. Cortes, A. Navarro-Quiles, J.-V. Romero, M.-D. Rosello, E. Zuazua. Full probabilistic solution of a infinite dimensional linear control system with random initial and final…
View More Full probabilistic solution of a infinite dimensional linear control system with random initial and final conditionsTurnpike in optimal shape design
G. Lance, E. Trélat, E. Zuazua Turnpike in optimal shape design IFAC-PapersOnline, Vol. 52, No. 16 (2019), pp. 496-501, ISSN: 24058963, DOI: 10.1137/17M1119160 Abstract: We…
View More Turnpike in optimal shape designStochastic optimization methods for the simultaneous control of parameter-dependent systems
Umberto Biccari, Ana Navarro-Quiles, Enrique Zuazua. Stochastic optimization methods for the simultaneous control of parameter-dependent systems (2020) Abstract. We address the application of stochastic optimization methods…
View More Stochastic optimization methods for the simultaneous control of parameter-dependent systemsAsymptotic behavior and control of a “guidance by repulsion” model
Dongnam Ko, E. Zuazua, Asymptotic behavior and control of a “guidance by repulsion” model. Math Models Methods Appl. Sci. Vol. 30, No. 04, pp. 765-804…
View More Asymptotic behavior and control of a “guidance by repulsion” modelStochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises
Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, Hui Yu, . Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. Math Models…
View More Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noisesThe turnpike property in nonlinear optimal control – A geometric approach
N. Sakamoto, D. Pighin, E. Zuazua The turnpike property in nonlinear optimal control – A geometric approach. IEEE 58th Conference on Decision and Control (CDC)…
View More The turnpike property in nonlinear optimal control – A geometric approachControllability of the one-dimensional fractional heat equation under positivity constraints
U. Biccari, M. Warna, E. Zuazua Internal observability for coupled systems of linear partial differential equations. Commun. Pure Appl. Anal., Vol 19. No. 4 (2019), pp. 1949-1978. DOI: 10.3934/cppaa.2020086
View More Controllability of the one-dimensional fractional heat equation under positivity constraintsCost of null controllability for parabolic equations with vanishing diffusivity and a transport term
Bárcena-Petisco J.A., Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term (2020). HAL Id: hal-02455632 Abstract. In this paper we…
View More Cost of null controllability for parabolic equations with vanishing diffusivity and a transport termA fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models
I. Mazari, D. Ruiz-Balet. A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive models (2020) Abstract. Following…
View More A fragmentation phenomenon for a non-energetic optimal control problem: optimisation of the total population size in logistic diffusive modelsAsymptotic behavior of scalar convection-diffusion equations
Enrique Zuazua. Asymptotic behavior of scalar convection-diffusion equations (2020) Abstract. In these lecture notes, we address the problem of large-time asymptotic behaviour of the solutions to…
View More Asymptotic behavior of scalar convection-diffusion equationsA PDE-ODE model for traffic control with autonomous vehicles
Thibault Liard, Raphael Stern, Maria Laura Delle Monache. A PDE-ODE model for traffic control with autonomous vehicles. (2020) Abstract. We introduce a coupled PDE-ODEs model…
View More A PDE-ODE model for traffic control with autonomous vehiclesEmergent collective behaviors of stochastic kuramoto oscillators
Seung-Yeal Ha, Dongnam Ko, Chanho Min, Xiongtao Zhang. Emergent collective behaviors of stochastic kuramoto oscillators. Vol. 25, No. 3, pp. 1059-1081 (2020) DOI: 10.3934/dcdsb.2019208 Abstract.…
View More Emergent collective behaviors of stochastic kuramoto oscillatorsFlocking Behaviors of a Cucker-Smale Ensemble in a Cylindrical Domain
Hyeong-Ohk Bae, Seung-Yeal Ha, Jeongho Kim, Dongnam Ko, Sung-Ik Sohn. Flocking Behaviors of a Cucker–Smale Ensemble in a Cylindrical Domain. SIAM J. Math. Anal., 51(3),…
View More Flocking Behaviors of a Cucker-Smale Ensemble in a Cylindrical DomainNull-controllability properties of a fractional wave equation with a memory term
U. Biccari, M. Warma Null-controllability properties of a fractional wave equation with a memory term. Evol. Eq. Control The., Vol. 9, No. 2 (2020), pp.…
View More Null-controllability properties of a fractional wave equation with a memory termExistence and cost of boundary controls for a degenerate/singular parabolic equation
Umberto Biccari, Víctor Hernández-Santamaría, Judith Vancostenoble. Existence and cost of boundary controls for a degenerate/singular parabolic equation (2020). Abstract. In this paper, we consider the…
View More Existence and cost of boundary controls for a degenerate/singular parabolic equationPropagation of one and two-dimensional discrete waves under finite difference approximation
U. Biccari, A. Marica, E. Zuazua Propagation of one and two/dimensional discrete waves under finite difference approximation, Found. Comput. Math., Vol. 20 (2020), pp. 1401-1438.…
View More Propagation of one and two-dimensional discrete waves under finite difference approximationOutput controllability in a long-time horizon
Martin Lazar, Jerôme Lohéac. Output controllability in a long-time horizon. Automatica, Vol. 113 (2020). DOI: 10.1016/j.automatica.2019.108762 Abstract. In this article we consider a linear finite…
View More Output controllability in a long-time horizonA controlled multiscale model for traffic regulation via autonomous vehicles
T. Liard, . A controlled multiscale model for traffic regulation via autonomous vehicles. (2019) Abstract. Autonomous vehicles ($AV$s) allow new ways of regulating the traffic…
View More A controlled multiscale model for traffic regulation via autonomous vehiclesOn entropic solutions to conservation laws coupled with moving bottlenecks
T. Liard, Benedetto Piccoli. On entropic solutions to conservation laws coupled with moving bottlenecks. (2019) Abstract. Moving bottlenecks in road traffic represent an interesting mathematical…
View More On entropic solutions to conservation laws coupled with moving bottlenecksOptimal driving strategies for traffic control with autonomous vehicles
T. Liard, Raphael Stern, Maria Laura Delle Monache. Optimal driving strategies for traffic control with autonomous vehicles. (2019) Abstract. This article considers the possibility of…
View More Optimal driving strategies for traffic control with autonomous vehiclesUpper bounds for the decay rate in a nonlocal p-Laplacian evolution problem
C. Esteve, J.D. Rossi, A. San Antolín. Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problem. BOUND VALUE PROBL (2014), pp. 109.…
View More Upper bounds for the decay rate in a nonlocal p-Laplacian evolution problemInverse design for the one-dimensional Burgers equation
T. Liard, E. Zuazua. Inverse design for the one-dimensional Burgers equation. (2019) Abstract. In this paper, we study the problem of inverse design for the…
View More Inverse design for the one-dimensional Burgers equationQuantitative touchdown localization for the MEMS problem with variable dielectric permittivity
C. Esteve, Ph Souplet. Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity, NONLINEARITY, Vol. 31, No. 11 (2018). DOI: 10.1088/1361-6544 Abstract. We…
View More Quantitative touchdown localization for the MEMS problem with variable dielectric permittivityThe evolution problem associated with eigenvalues of the Hessian
P. Blanc, C. Esteve, J. D. Rossi. The evolution problem associated with eigenvalues of the Hessian. J. London Math. Soc. (2020). https://doi.org/10.1112/jlms.12363 Abstract. In this…
View More The evolution problem associated with eigenvalues of the HessianSingle-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvature
C. Esteve Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvatureJ MATH PURE APPL, Vol 137 (2020) pp. 143-177,…
View More Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvatureNo touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem
C. Esteve, Ph. Souplet, No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problem Adv. Differential Equ. Vol. 24, No.…
View More No touchdown at points of small permittivity and nontrivial touchdown sets for the MEMS problemControllability properties from the exterior under positivity constraints for a 1-D fractional heat equation
Antil H, Biccari U, Ponce R, Warma M, Zamorano S. Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation Abstract.…
View More Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equationModel reduction of converter-dominated power systems by Singular Perturbation Theory
U. Biccari, N. Sakamoto, E. Unamuno, D. Madariaga, E. Zuazua, J.A. Barrena. Model reduction of converter-dominated power systems by Singular Perturbation Theory Abstract: The increasing integration of power electronic devices is driving the development of more…
View More Model reduction of converter-dominated power systems by Singular Perturbation TheoryAdjoint computational methods for 2D inverse design of linear transport equations on unstructured grids
M. Morales-Hernández, E. Zuazua Adjoint computational methods for 2D inverse design of linear transport equations on unstructured grids Comp. Appl. Math. Vol. 38, No. 168 (2019)…
View More Adjoint computational methods for 2D inverse design of linear transport equations on unstructured gridsNull controllability of a nonlocal heat equation with an additive integral kernel
U. Biccari, V. Hernández-Santamaría Null controllability of a nonlocal heat equation with an additive integral kernel. SIAM J. Control Optim., Vol. 57, No. 4 (2019),…
View More Null controllability of a nonlocal heat equation with an additive integral kernelSpectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
Y. Privat, E. Trélat & E. Zuazua. Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. CALC VAR PARTIAL DIF. Springer Verlag, Vol.…
View More Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctionsNull-controllability properties of the wave equation with a second order memory term
U. Biccari, S. Micu Null-controllability properties of the wave equation with a second order memory termJ DIFFER EQUATIONS, Vol. 267, No. 2 (2019), pp. 1376-1422…
View More Null-controllability properties of the wave equation with a second order memory termDynamics and control for multi-agent networked systems: a finite difference approach
U. Biccari, D. Ko, E. Zuazua Dynamics and control for multi-agent networked systems: a finite difference approach. Math. Models Methods Appl. Sci., Vol. 29, No.…
View More Dynamics and control for multi-agent networked systems: a finite difference approachPhase portrait control for 1D monostable and bistable reaction-diffusion equations
Pouchol C., Trélat E., Zuazua E. Phase portrait control for 1D monostable and bistable reaction-diffusion equations. Nonlinearity, Vol. 32, No. 3 (2019). DOI: 10.1088/1361-6544/aaf07e Abstract:…
View More Phase portrait control for 1D monostable and bistable reaction-diffusion equationsA probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysis
J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló A probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysis . COMPUT MATH METHOD…
View More A probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysisA parabolic approach to the control of opinion spreading
D. Ruiz-Balet, E. Zuazua A parabolic approach to the control of opinion spreading. In: Berezovski A., Soomere T. (eds) Applied Wave Mathematics II. Mathematics of…
View More A parabolic approach to the control of opinion spreadingInternal observability for coupled systems of linear partial differential equations
Lissy, P., Zuazua, E. Internal observability for coupled systems of linear partial differential equations , SIAM J. Control Optim., Vol. 57, No. 2 (2019), pp.…
View More Internal observability for coupled systems of linear partial differential equationsA Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization
Bianchini, R., Gosse, L., Zuazua, E. A two-dimensional “flea on the elephant” phenomenon and its numerical visualization , Multiscale Model. Simul., Vol. 17, No. 1…
View More A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization
GAMM19
Austria. 22.02.2019. From February 18th to 22nd, Azahar Monge, member of the DyCon project, participated in the 90th Annual Meeting of the International Association of…
View More GAMM19Greedy optimal control for elliptic problems and its application to turnpike problems
Hernández-Santamaría V., Lazar M., Zuazua E. Greedy optimal control for elliptic problems and itsapplication to turnpike problemsNUMER MATH. Vol. 141, No. 2, pp.455-493 (2019) DOI:…
View More Greedy optimal control for elliptic problems and its application to turnpike problemsOn the convergence rate of the Dirichlet–Neumann iteration for unsteady thermal fluid–structure interaction
A. Monge, P. Birken On the convergence rate of the Dirichlet-Neumann iteration for unsteady thermal fluid-structure interaction. Comput Mech, Vol 62 (2018), pp. 525-541. DOI:…
View More On the convergence rate of the Dirichlet–Neumann iteration for unsteady thermal fluid–structure interactionTurnpike in optimal shape design for heat equation
G. Lance, E. Trélat, E. Zuazua Turnpike in optimal shape design for heat equation Abstract: After a short presentation of the turnpike’s problem in optimal…
View More Turnpike in optimal shape design for heat equationSolving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and Applications
J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló Solving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and Applications. MATH METHOD…
View More Solving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and ApplicationsMathematical model to asses impact of vih/aids infection in the spread of tuberculosis
Nkamba L. Mathematical model to assess vaccination and effective contact rate impact in the spread of tuberculosis (2019) Abstract: Tuberculosis is a serious problem of…
View More Mathematical model to asses impact of vih/aids infection in the spread of tuberculosisGlobal Stability of a SVEIR Epidemic Model: Application to Poliomyelitis Transmission Dynamics
Nkamba L., Manga T., Ntaganda J. M., Abboubakar H., Kamgang J. C., Castelli L. Mathematical model to assess vaccination and effective contact rate impact in…
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Nkamba L., Manga T., Agouanet F., Manyombe M. Mathematical model to assess vaccination and effective contact rate impact in the spread of tuberculosis. J BIOL…
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J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique,…
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Han Z., Zuazua E. Decay rates for elastic-thermoelastic star-shaped networks Network and Heterogeneous Media, NETW HETEROG MEDIA, Vol. 12, No. 3 (2017), pp. 461-488. DOI:…
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