12 citations · 25 across the 5 of their papers we have counts for
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Exact controllability to trajectories for entropy solutions to scalar conservation laws in several space dimensions
Carlotta Donadello, Vincent Perrollaz
We describe a new method which allows us to obtain a result of exact controllability to trajectories of multidimensional conservation laws in the context of entropy solutions and u…
Initial Data Identification in Conservation Laws and Hamilton-Jacobi Equations
Rinaldo Colombo, Vincent Perrollaz
In the scalar 1D case, conservation laws and Hamilton-Jacobi equations are deeply related. For both, we characterize those profiles that can be attained as solutions at a given pos…
Asymptotic stabilization of stationnary shock waves using a boundary feedback law
Vincent Perrollaz
In this paper we consider scalar conservation laws with a convex flux. Given a stationnary shock, we provide a feedback law acting at one boundary point such that this solution is…
Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms
Martin Gugat, Vincent Perrollaz, Lionel Rosier
We investigate the long-time behavior of solutions of quasilinear hyperbolic systems with transparent boundary conditions when small source terms are incorporated in the system. Ev…
Finite-Time Stabilization Of Systems Of Conservation Laws On Networks
Vincent Perrollaz, Lionel Rosier
We investigate the finite-time boundary stabilization of a 1-D first order quasilinear hyperbolic system of diagonal form on [0,1]. The dynamics of both boundary controls are gover…