Global well-posedness for the microscopic FENE model with a sharp boundary condition

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Global Well-posedness for the Microscopic Fene Model with a Sharp Boundary Condition

We prove global well-posedness for the microscopic FENE model under a sharp boundary requirement. The well-posedness of the FENE model that consists of the incompressible Navier-Stokes equation and the Fokker-Planck equation has been studied intensively, mostly with the natural flux boundary condition. Recently it was illustrated by C. Liu and H. Liu [2008, SIAM J. Appl. Math., 68(5):1304–1315]...

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2012

ISSN: 0022-0396

DOI: 10.1016/j.jde.2011.07.031