Article ID Journal Published Year Pages File Type
4591114 Journal of Functional Analysis 2010 29 Pages PDF
Abstract

We show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well posed: it admits a unique solution, characterized by a kinetic formulation of the problem, which is the limit of the solution of the stochastic parabolic approximation.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory