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arXiv · 2004.14790

Global existence of weak solutions to viscoelastic phase separation: Part II Degenerate Case

Aaron Brunk·Maria Lukacova-Medvidova
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Abstract

The aim of this paper is to prove global in time existence of weak solutions for a viscoelastic phase separation. We consider the case with singular potentials and degenerate mobilities. Our model couples the diffusive interface model with the Peterlin-Navier-Stokes equations for viscoelastic fluids. To obtain the global in time existence of weak solutions we consider appropriate approximations by solutions of the viscoelastic phase separation with a regular potential and build on the corresponding energy and entropy estimates.

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Aaron Brunk, Maria Lukacova-Medvidova. 2020-04-30. Global existence of weak solutions to viscoelastic phase separation: Part II Degenerate Case. https://doi.org/10.1088/1361-6544/ac591e

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