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 equationsCategory: WP4-SINV
WP4: Inverse design of time-irreversible models (SINV)
Classical 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 systemsThe 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 EnvelopesSparse 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 methodsA 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 vehiclesInverse 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 equationSingle-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 curvature
2D inverse design of linear transport equations on unstructured grids
PDF version… 1. Adjoint estimation: low or high order? Adjoint methods have been systematically associated to the optimal control design [5] and their applications to…
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Conservation laws in the presence of shocks
PDF version… The problem We analyze a model tracking problem for a 1D scalar conservation law. It consists in optimizing the initial datum so to…
View More Conservation laws in the presence of shocksInverse design and control in the presence of singularities (SINV)
Some important PDE models in Continuum Physics, such as hyperbolic conservation laws, represent a major challenge from a control viewpoint for two (closely related) reasons:…
View More Inverse design and control in the presence of singularities (SINV)