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Strong solutions and asymptotic behavior of bidomain equations with random noise

Oleksiy V. KapustyanORCIDOleksandr MisiatsORCIDOleksandr StanzhytskyiORCID

Анотація

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].

Класифікація

Домен
Physical SciencesSocial Sciences
Галузь
Computer ScienceEconomics, Econometrics and FinanceEngineering
Підгалузь
Computational Theory and MathematicsFinanceControl and Systems Engineering
Тема
Advanced Mathematical Modeling in Engineering★Stochastic processes and financial applicationsStability and Controllability of Differential Equations

Ідентифікатори

DOI: 10.1142/s0219493722500277

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