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Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional case

Abstract:

We prove the existence of global-in-time weak solutions to a general class of models that arise from the kinetic theory of dilute solutions of nonhomogeneous polymeric liquids, where the polymer molecules are idealized as bead–spring chains with finitely extensible nonlinear elastic (FENE) type spring potentials. The class of models under consideration involves the unsteady, compressible, isentropic, isothermal Navier–Stokes system in a bounded domain Ω in Rd, d=2, for the density ρ , the ve...

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Publication status:
Published
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Barrett, JW More by this author
Publisher:
Elsevier Publisher's website
Journal:
Journal of Differential Equations Journal website
Publication date:
2016-03-05
ISSN:
1090-2732
URN:
uuid:6c7fbba2-c427-4b5e-b5a0-9aa8e5e73d42
Source identifiers:
609840
Local pid:
pubs:609840

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