Turnpike 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 investigate the turnpike problem in…
Flocking 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), pp. 2390–2424 (2019). DOI: https://doi.org/10.1137/18M122025X…
Adjoint 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) DOI: 10.1007/s40314-019-0935-0 Abstract: We address…
Null 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), pp. 2924-2938, DOI: 10.1137/18M1218431 Abstract:…
Spectral 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. 58, No. 2 (2019) pp.…
Null-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 doi.org/10.1016/j.jde.2019.02.009 Abstract: We study the…
Dynamics 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. 4 (2019), pp. 755–790. DOI:…
Phase 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: We consider the problem of…
A 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 M. Vol. 1, No. 1…
A 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 Planet Earth, Vol 6. Springer,…
Internal 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. 832–853. DOI: 10.1137/17M1119160 Abstract: We…
A 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 (2019), pp. 137–166, DOI: 10.1137/18M1179985.…
Greedy 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: 10.1007/s00211-018-1005-z Abstract: We adapt and…
Turnpike in optimal shape design for heat equation
G. Lance, E. Trélat, E. Zuazua Turnpike in optimal shape design for heat equation (2019) IFAC-PAPERSONLINE, Vol. 52, No. 16, pp. 496-501, DOI: 10.1137/17M1119160 Abstract: After a short presentation of…
Solving 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 APPL SCI. Vol. 42, No.…
Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique
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, COMMUN NONLINEAR SCI. Vol. 72…
Controllability and Positivity Constraints in Population Dynamics with Age Structuring and Diffusion
D. Maity, M. Tucsnak, E. Zuazua. Controllability and Positivity Constraints in Population Dynamics with Age Structuring and Diffusion, J MATH PURE APPL. Vol. 129 (2019), pp. 153-179. DOI: 10.1016/j.matpur.2018.12.006 Abstract:…
Controllability under positivity constraints of multi-d wave equations
Pighin, D., Zuazua, E. Controllability under positivity constraints of multi-d wave equations , Trends in Control Theory and Partial Differential Equations., Vol 32 (2019). DOI: 10.1007/978-3-030-17949-6_11 Abstract: We consider both…
Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential
U. Biccari Boundary controllability for a one-dimensional heat equation with a singular inverse-square potential, Math. Control Relat. F., Vol. 9, No. 1 (2019), pp. 191-219, DOI: 10.3934/mcrf.2019011 Abstract: We analyse…
Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects
U. Biccari, V. Hernández-Santamaría Controllability of a one-dimensional fractional heat equation: theoretical and numerical aspects, IMA J. Math. Control Inf., Vol. 36, No. 4 (2019), pp. 1199-1235. DOI: 10.1093/imamci/dny025 Abstract:…