Contents Online
Communications in Mathematical Sciences
Volume 20 (2022)
Number 1
Existence, regularity and weak-strong uniqueness for three-dimensional Peterlin viscoelastic model
Pages: 201 – 230
DOI: https://dx.doi.org/10.4310/CMS.2022.v20.n1.a6
Authors
Abstract
In this paper we analyze three-dimensional Peterlin viscoelastic model. By means of a mixed Galerkin and semigroup approach we prove the existence of weak solutions. Further, combining parabolic regularity with the relative energy method, we derive a conditional weak-strong uniqueness result.
Keywords
complex fluids, relative energy, parabolic regularity, weak-strong uniqueness
2010 Mathematics Subject Classification
35A01, 35A02, 35D30, 35Q30, 35Q35, 74D10, 76D03
Received 3 February 2021
Received revised 14 June 2021
Accepted 14 June 2021
Published 10 December 2021