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arXiv · 2208.01374

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

Aaron Brunk
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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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Aaron Brunk. 2022-08-02. Existence and weak-strong uniqueness for global weak solutions for the viscoelastic phase separation model in three space dimensions. https://arxiv.org/abs/2208.01374

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