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Global classical solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near Equilibrium

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arxiv 1706.08890 v1 pith:EWBXABIE submitted 2017-06-27 math.AP

Ning Jiang , Yanan Liu , Teng-Fei Zhang This is my paper · ORCID
classification math.AP
keywords compressibleglobalmodelequilibriumfluidsmicro-macronearpolymeric
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In this paper we first employ the energetic variational method to derive a micro-macro model for compressible polymeric fluids. This model is a coupling of isentropic compressible Navier-Stokes equations with a nonlinear Fokker-Planck equation. We then prove the global in time existence of the smooth solution near the global equilibrium.

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