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Invariant measures for stochastic conservation laws

  • Arnaud Debussche (Ecole normale supérieure de Rennes, France)
A3 01 (Sophus-Lie room)

Abstract

We study periodic scalar first-order conservation laws with stochastic forcing. Under an hypothesis of non-degeneracy of the flux, we study the long-time behaviour in any space dimension. For sub-cubic fluxes, we show the existence of an invariant measure. Moreover for sub-quadratic fluxes we show uniqueness and ergodicity of the invariant measure.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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