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Existence of global weak solutions to Fokker-Planck and Navier-Stokes-Fokker-Planck equations in kinetic models of dilute polymers
Author(s) -
John W. Barrett,
Endre Süli
Publication year - 2010
Publication title -
discrete and continuous dynamical systems - s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2010.3.371
Subject(s) - fokker–planck equation , compressibility , planck , nonlinear system , kinetic energy , physics , flow (mathematics) , partial differential equation , classical mechanics , statistical physics , mathematics , mathematical analysis , mechanics , quantum mechanics
This survey paper reviews recent developments concerning the existence of global weak solutions to Fokker-Planck equations with unbounded drift terms, and coupled Navier-Stokes-Fokker-Planck systems of partial differential equations, that arise in finitely extensible nonlinear elastic (FENE) type kinetic models of incompressible dilute polymeric fluids in the case of general noncorotational flow

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