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math.AP2020
Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion
Michal Bathory, Miroslav Bulíček, Josef Málek
We prove that there exists a weak solution to a system governing an unsteady flow of a viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The flu…
math.AP2019
Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry
Michal Bathory, Miroslav Bulíček, Ondřej Souček
We study a nonlinear elliptic system with prescribed inner interface conditions. These models are frequently used in physical system where the ion transfer plays the important role…