Strong solutions and asymptotic behavior of bidomain equations with random noise
Analysis of PDEs
2021-11-15 v1 Probability
Abstract
In this paper we study the conditions for the existence of strong solutions (both local and global) for stochastic bidomain equations. To this end, we use apriori energy estimates and Serrin-type theorems. We further address the asymptotic behavior of the solutions, which includes the analysis of small stochastic perturbations and large deviations. In a separate section we specify the support of the invariant measure.
Keywords
Cite
@article{arxiv.2111.06485,
title = {Strong solutions and asymptotic behavior of bidomain equations with random noise},
author = {Oleksiy Kapustyan and Oleksandr Misiats and Oleksandr Stanzhytskyi},
journal= {arXiv preprint arXiv:2111.06485},
year = {2021}
}