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math.AP2020
Sharp nonlinear estimates for multiplying derivatives of positive definite tensor fields
Michal Bathory
The simple product formulae for derivatives of scalar functions raised to different powers are generalized for functions which take values in the set of symmetric positive definite…
math.AP2020★ 42 cited
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…