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…
A 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 flow on road networks. Most…
On 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 problem, which can be modeled…
Inverse 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 one-dimensional Burgers equation. This problem…
Controllability 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. We study the controllability to…
Model 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 advanced tools and methods for…
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:…
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.…
Mathematical 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 public health in several countries.…
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…