Author
Barrett, J
Lu, Y
Süli, E
Journal title
Communications in Mathematical Sciences
DOI
10.4310/CMS.2017.v15.n5.a5
Issue
5
Volume
15
Last updated
2024-03-12T21:58:02.04+00:00
Page
1265-1323
Abstract
A compressible Oldroyd--B type model with stress diffusion is derived from 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 idealized
as pairs of massless beads connected with Hookean springs. We develop a-priori
bounds for the model, including a logarithmic bound, which guarantee the
nonnegativity of the elastic extra stress tensor, and we prove the existence of
large data global-in-time finite-energy weak solutions in two space dimensions.
Symplectic ID
640765
Download URL
http://arxiv.org/abs/1608.04229v1
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Publication type
Journal Article
Publication date
26 Jun 2017
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