Section: New Results
Invariant measure of scalar first-order conservation laws with stochastic forcing
In [29] , under an hypothesis of non-degeneracy of the flux,
we study the long-time behaviour of periodic scalar first-order conservation laws with
stochastic forcing 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. Also, since this invariant measure is supported by