Existence of large-data global-in-time finite-energy weak solutions to a compressible FENE-P model

Author: 

Barrett, J
Suli, E

Publication Date: 

September 2018

Journal: 

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Last Updated: 

2019-07-18T10:22:46.983+01:00

Issue: 

10

Volume: 

28

DOI: 

10.1142/S0218202518500471

page: 

1929-2000

abstract: 

© 2018 World Scientific Publishing Company. A compressible FENE-P-type model with stress diffusion is derived from an approximate macroscopic closure of a compressible Navier-Stokes-Fokker-Planck system arising in the kinetic theory of dilute polymeric fluids, where polymer chains immersed in a barotropic, compressible, isothermal, viscous Newtonian solvent are idealised as pairs of massless beads connected with finitely extensible nonlinear elastic (FENE) springs. We develop a priori bounds for the model, including logarithmic bounds, which guarantee the non-negativity of the conformation tensor and a bound on its trace, and we prove the existence of large-data global-in-time finite-energy weak solutions in two and three space dimensions.

Symplectic id: 

846105

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article