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

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,...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4310/CMS.2017.v15.n5.a5

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
International Press Publisher's website
Journal:
Communications in Mathematical Sciences Journal website
Volume:
15
Issue:
5
Pages:
1265–1323
Publication date:
2017-06-26
Acceptance date:
2017-01-22
DOI:
Keywords:
Pubs id:
pubs:640765
UUID:
uuid:8a614237-7077-4930-b9dc-042f104a289c
Local pid:
pubs:640765
Source identifiers:
640765
Deposit date:
2017-01-06

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