Communication Dans Un Congrès Année : 2024

L ∞ Stationary Solutions to Non Homogeneous Conservation Laws

Résumé

Stationary solutions, besides being relevant on their own, play a key role in a variety of analytic techniques related to conservation laws. Here, we present the construction of a (partial) foliation of stationary solutions to scalar conservation laws with x dependent fluxes. Differently from what happens in the x independent case, here solutions are in only bounded, no bound on the total variation is to be expected, and all discontinuities are entropy admissible.

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Dates et versions

hal-04046228 , version 1 (29-03-2023)

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Identifiants

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Rinaldo Colombo, Vincent Perrollaz, Abraham Sylla. L ∞ Stationary Solutions to Non Homogeneous Conservation Laws. XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications (HYP2022), Jun 2022, Málaga, España, Spain. pp.205-215, ⟨10.1007/978-3-031-55260-1_14⟩. ⟨hal-04046228⟩
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