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

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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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          Journal
          02 August 2022
          Article
          2208.01374
          8a2b3950-4e82-42d5-a69d-8957afe519fd

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          18 pages
          math.AP

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