Article ID Journal Published Year Pages File Type
4591101 Journal of Functional Analysis 2010 32 Pages PDF
Abstract

We establish the existence and uniqueness of a solution to the Cauchy problem for the transport equation with random noise in Rd. When the vector field is time-periodic and the noise is multiplicative and nondegenerate, we show the existence of a time-periodic measure, which includes an invariant measure as a special case.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory