Global existence of weak solutions to viscoelastic phase separation: part II. Degenerate case

The aim of this paper is to prove global in time existence of weak solutions for a viscoelastic phase separation. We consider the case with singular potentials and degenerate mobilities. Our model couples the diffusive interface model with the Peterlin–Navier–Stokes equations for viscoelastic fluids...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinearity 2022-07, Vol.35 (7), p.3459-3486
Main Authors: Brunk, Aaron, Lukáčová-Medvid’ová, Mária
Format: Article
Language:English
Subjects:
Cahn–Hilliard equation
Flory–Huggins potential
Navier–Stokes equations
non-Newtonian fluids
Peterlin viscoelastic model
phase separation
two-phase flows
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The aim of this paper is to prove global in time existence of weak solutions for a viscoelastic phase separation. We consider the case with singular potentials and degenerate mobilities. Our model couples the diffusive interface model with the Peterlin–Navier–Stokes equations for viscoelastic fluids. To obtain the global in time existence of weak solutions we consider appropriate approximations by solutions of the viscoelastic phase separation with a regular potential and build on the corresponding energy and entropy estimates.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ac591e