Relative energy and weak-strong uniqueness of the two-phase viscoelastic phase separation model
Analysis of PDEs
2022-08-30 v2
Abstract
The aim of this paper is to analyze a viscoelastic phase separation model. We derive a suitable notion of the relative energy taking into account the non-convex nature of the energy law for the viscoelastic phase separation. This allows us to prove the weak-strong uniqueness principle. We will provide the estimates for the full model in two space dimensions. For a reduced model we present the estimates in three space dimensions and derive conditional relative energy estimates.
Keywords
Cite
@article{arxiv.2104.00589,
title = {Relative energy and weak-strong uniqueness of the two-phase viscoelastic phase separation model},
author = {Aaron Brunk and Maria Lukacova-Medvidova},
journal= {arXiv preprint arXiv:2104.00589},
year = {2022}
}
Comments
18 pages