Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion

20 Jul 2020 Bathory Michal Bulíček Miroslav Málek Josef

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 fluid is described by the incompressible Navier-Stokes equations for the velocity $v$, coupled with a diffusive variant of a combination of the Oldroyd-B and the Giesekus models for a tensor $\mathbb{B}$... (read more)

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