Abstract for the talk at 17.06.2014 (15:15 h)Oberseminar ANALYSIS - PROBABILITY
Arnaud Debussche (Ecole normale supérieure de Rennes, France)
Invariant measures for stochastic conservation laws
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.