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arXiv · 2102.02422

Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model

Aaron Brunk·Yong Lu·Maria Lukacova-Medvidova
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Abstract

In this paper we analyze the three-dimensional Peterlin viscoelastic model. By means of a mixed Galerkin and semigroup approach we prove the existence of a weak solutions. Further combining parabolic regularity with the relative energy method we derive a conditional weak-strong uniqueness result.

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Aaron Brunk, Yong Lu, Maria Lukacova-Medvidova. 2021-02-04. Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model. https://doi.org/10.4310/cms.2022.v20.n1.a6

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