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arXiv · 2209.00479

Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions

Claudia Espitia·Hermano Frid·Daniel Marroquin
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Abstract

We study the long-time behavior of almost periodic solutions to stochastic scalar conservation laws in any space dimension, under the assumption of Lipschitz continuity of the flux functions and a non-degeneracy condition. We show the existence and uniqueness of an invariant measure in the space of Besicovitch almost periodic functions.

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Claudia Espitia, Hermano Frid, Daniel Marroquin. 2023-06-13. Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions. https://arxiv.org/abs/2209.00479

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