Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10527355 | Stochastic Processes and their Applications | 2005 | 19 Pages |
Abstract
We consider a system of stochastic partial differential equations modeling heat conduction in a non-linear medium. We show global existence of solutions for the system in Sobolev spaces of low regularity, including spaces with norm beneath the energy norm. For the special case of thermal equilibrium, we also show the existence of an invariant measure (Gibbs state).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Luc Rey-Bellet, Lawrence E. Thomas,