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

Analysis of PDEs 2017-06-28 v1

Abstract

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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Cite

@article{arxiv.1706.08890,
  title  = {Global classical solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near Equilibrium},
  author = {Ning Jiang and Yanan Liu and Teng-Fei Zhang},
  journal= {arXiv preprint arXiv:1706.08890},
  year   = {2017}
}

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26 pages