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Strong solutions and asymptotic behavior of bidomain equations with random noise.
- Source :
-
Stochastics & Dynamics . Sep2022, Vol. 22 Issue 6, p1-28. 28p. - Publication Year :
- 2022
-
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 a priori 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, whose existence was established in [M. Hieber, O. Misiats and O. Stanzhytskyi, On the bidomain equations driven by stochastic forces, Discrete Contin. Dyn. Syst. 40 (11) (2020) 6159–6177]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194937
- Volume :
- 22
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Stochastics & Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 159507224
- Full Text :
- https://doi.org/10.1142/S0219493722500277