Publication Date
2005
Journal or Book Title
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
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).
Pages
1041-1059
Volume
115
Issue
6
Recommended Citation
Rey-Bellet, L and Thomas, LE, "Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics" (2005). STOCHASTIC PROCESSES AND THEIR APPLICATIONS. 779.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/779
Comments
This is the pre-published version harvested from ArXiv. The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V1B-4FNP09D-1&_user=1516330&_coverDate=06%2F30%2F2005&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_searchStrId=1664008414&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=a958f48bbfee176bc2303736a65f0e4b&searchtype=a