Existence of large-data global-in-time finite-energy weak solutions to a compressible FENE-P model
File(s)
Accepted version
Author(s)
Barrett, JW
Suli, Endre
Type
Journal Article
Abstract
A compressible FENE-P type model with stress diffusion is derived from an approxi-
mate macroscopic closure of a compressible Navier–Stokes–Fokker–Planck system aris-
ing 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 nonnegativity 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.
mate macroscopic closure of a compressible Navier–Stokes–Fokker–Planck system aris-
ing 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 nonnegativity 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.
Date Issued
2018-09-01
Date Acceptance
2018-05-04
Citation
Mathematical Models and Methods in Applied Sciences, 28 (10), pp.1929-2000
ISSN
1793-6314
Publisher
World Scientific Publishing
Start Page
1929
End Page
2000
Journal / Book Title
Mathematical Models and Methods in Applied Sciences
Volume
28
Issue
10
Copyright Statement
© World Scientific Publishing Company. Electronic version of an article published as John W. Barrett (1Department of Mathematics, Imperial College London, London SW7 2AZ, UK) and Endre Süli (2Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK)
Mathematical Models and Methods in Applied Sciences 2018 28:10, 1929-2000, https://doi.org/10.1142/S0218202518500471
Mathematical Models and Methods in Applied Sciences 2018 28:10, 1929-2000, https://doi.org/10.1142/S0218202518500471
Identifier
https://www.worldscientific.com/doi/abs/10.1142/S0218202518500471
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Weak solution
compressible Navier-Stokes equation
FENE-P model
SPRING CHAIN MODELS
OLDROYD-B
APPROXIMATION
Applied Mathematics
0102 Applied Mathematics
Publication Status
Published
Date Publish Online
2018-06-28