Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 40, Issue 14, Pages 5241-5261Publisher
WILEY
DOI: 10.1002/mma.4383
Keywords
nonlinear parabolic equations; stochastic PDEs; existence and uniqueness
Categories
Ask authors/readers for more resources
This paper addresses the analysis of a time noise-driven Allen-Cahn equation modelling the evolution of damage in continuum media in the presence of stochastic dynamics. The nonlinear character of the equation is mainly due to a multivoque maximal monotone operator representing a constraint on the damage variable, which is forced to take physically admissible values. By a Yosida approximation and a time-discretization procedure, we prove a result of global-in-time existence and uniqueness of the solution to the stochastic problem. Copyright (C) 2017 JohnWiley & Sons, Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available