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math.AP2021
Strong solutions and asymptotic behavior of bidomain equations with random noise
Oleksiy Kapustyan, Oleksandr Misiats, Oleksandr Stanzhytskyi
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…
math.AP2021★ 3 cited
Well-posedness and robust stability of a nonlinear ODE-PDE system
S. Dashkovskiy, O. Kapustyan, V. Slynko
This work studies stability and robustness of a nonlinear system given as an interconnection of an ODE and a parabolic PDE subjected to external disturbances entering through the b…