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Preprints, Working Papers, ... (Preprint) Year : 2023

L ∞ Stationary Solutions to Non Homogeneous Conservation Laws

Abstract

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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Licence : CC BY - Attribution
Licence : CC BY - Attribution

Dates and versions

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

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  • HAL Id : hal-04046228 , version 1

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Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla. L ∞ Stationary Solutions to Non Homogeneous Conservation Laws. 2023. ⟨hal-04046228⟩
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