Carlos Esteve, Enrique Zuazua. The Inverse Problem for Hamilton-Jacobi equations and Semiconcave Envelopes (2020) Abstract. We study the inverse problem, or inverse design problem, for…
View More The Inverse Problem for Hamilton-Jacobi equations and Semiconcave EnvelopesCategory: Publications
Publications from the Chair of Computational Mathematics
Asymptotic 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 vehiclesNull-controllability of perturbed porous medium gas flow
B. Geshkovski Null-controllability of perturbed porous medium gas flow. DOI: 10.1051/cocv/2020009 Abstract: In this work, we investigate the null-controllability of a nonlinear degenerate parabolic equation,…
View More Null-controllability of perturbed porous medium gas flowEmergent 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 DomainStochastic 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 noisesNonuniqueness of minimizers for semilinear optimal control problems
Dario Pighin. Nonuniqueness of minimizers for semilinear optimal control problems (2020) Abstract. A counterexample to uniqueness of global minimizers of semilinear optimal control problems is…
View More Nonuniqueness of minimizers for semilinear optimal control problemsA stochastic approach to the synchronization of coupled oscillators
Umberto Biccari, Enrique Zuazua. A stochastic approach to the synchronization of coupled oscillators (2020) Abstract. This paper deals with an optimal control problem associated to the…
View More A stochastic approach to the synchronization of coupled oscillatorsExistence 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 equation