Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591101 | Journal of Functional Analysis | 2010 | 32 Pages |
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