A nonlocal stochastic Cahn-Hilliard equation
Probability
2016-03-08 v2 Analysis of PDEs
Abstract
We consider a stochastic extension of the nonlocal convective Cahn-Hilliard equation containing an additive Wiener process noise. We first introduce a suitable analytical setting and make some mathematical and physical assumptions. We then establish, in a variational context, the existence of a weak statistical solution for this problem. Finally we prove existence and uniqueness of a strong solution.
Cite
@article{arxiv.1510.07923,
title = {A nonlocal stochastic Cahn-Hilliard equation},
author = {Federico Cornalba},
journal= {arXiv preprint arXiv:1510.07923},
year = {2016}
}
Comments
22 pages, no figures. Typos corrected, split Section 7 in two to better outline strategy of proof