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Preprints, Working Papers, ... Year : 2023

Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics

Abstract

Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-Jacobi equations with space-dependent convex fluxes were obtaine. More precisely, characterizations of attainable sets and the set of initial data evolving at a prescribed time into a prescribed profile were obtained. Here, we present an explicit example that underlines deep diff erences between the space-dependent and space-independent cases. Moreover, we add a detailed analysis of the time asymptotic solution of this example, again underlining diff erences with the space-independent case.
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hal-04093196 , version 1 (11-05-2023)

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Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla. Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics. 2023. ⟨hal-04093196⟩
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