Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model
arXiv:2102.02422 · doi:10.4310/CMS.2022.v20.n1.a6
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.
37 pages, 1 figure