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Invariant measures for stochastic conservation laws with Lipschitz flux in the space of almost periodic functions (2209.00479v4)
Published 1 Sep 2022 in math.AP
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.