Existence and weak-strong uniqueness for global weak solutions for the viscoelastic phase separation model in three space dimensions

2022/08/02 by Brunk, Aaron · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.01374

Abstract

The aim of this work is to prove the global-in-time existence of weak solutions for a viscoelastic phase separation model in three space dimensions. To this end we apply the relative energy concept provided by [3]. We consider the case of regular polynomial-type potentials and positive mobilities, as well as the degenerate case with logarithmic potential and vanishing mobility.

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• Well-posedness and relaxation in a simplified model for viscoelastic phase separation via Hilbertian gradient flows

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