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- Centre National de la Recherche ScientifiqueFR301 papers
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4 papers · 2 filters
On the instability of threshold solutions of reaction-diffusion equations, and applications to optimization problems
Grégoire Nadin
The first part of this paper is devoted to the derivation of a technical result, related to the stability of the solution of a reaction-diffusion equation on $(0,…
An optimal spectral inequality for degenerate operators
Rémi Buffe, Kim Dang Phung, Amine Slimani
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application…
Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-Jacobi equations with space-dependent convex fluxes were obtaine. More precisely, characte…
Existence of solutions to a class of one-dimensional models for pedestrian evacuations
Boris Andreianov, Theo Girard
In the framework inspired by R. L. Hughes model (Transp. Res. B, 2002) for pedestrian evacuation in a corridor, we establish existence of a solution by a topological fixed point ar…