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Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model

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Title: Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model
Authors: Barrett, JW
Lu, Y
Suli, E
Item Type: Journal Article
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.
Issue Date: 1-Aug-2017
Date of Acceptance: 22-Jan-2017
URI: http://hdl.handle.net/10044/1/44176
DOI: https://dx.doi.org/10.4310/CMS.2017.v15.n5.a5
ISSN: 1945-0796
Publisher: International Press
Start Page: 1265
End Page: 1323
Journal / Book Title: Communications in Mathematical Sciences
Volume: 15
Copyright Statement: © 2017 International Press
Keywords: Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
weak solution
compressible Navier-Stokes equation
Oldroyd-B model
SPRING CHAIN MODELS
DILUTE POLYMERS
VISCOELASTIC FLUIDS
INCOMPRESSIBLE LIMIT
EQUATIONS
FLOWS
VISCOSITY
LIQUID
Applied Mathematics
0101 Pure Mathematics
0102 Applied Mathematics
1502 Banking, Finance And Investment
Publication Status: Published
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences