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

Abstract:

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,...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1142/S0218202518500471

Authors


Barrett, JW More by this author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Worcester College
ORCID:
0000-0002-0812-6105
Publisher:
World Scientific Publishing Publisher's website
Journal:
Mathematical Models and Methods in Applied Sciences Journal website
Volume:
28
Issue:
10
Pages:
1929-2000
Publication date:
2018-06-28
Acceptance date:
2018-05-04
DOI:
EISSN:
1793-6314
ISSN:
0218-2025
Pubs id:
pubs:846105
URN:
uri:676015cf-3d10-4158-ac8a-c0a218fd7bde
UUID:
uuid:676015cf-3d10-4158-ac8a-c0a218fd7bde
Local pid:
pubs:846105

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