Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model
Analysis of PDEs
2022-03-24 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2102.02422,
title = {Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model},
author = {Aaron Brunk and Yong Lu and Maria Lukacova-Medvidova},
journal= {arXiv preprint arXiv:2102.02422},
year = {2022}
}
Comments
37 pages, 1 figure