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Global Well-Posedness for the 2D Micro-Macro Models in the Bounded Domain

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Abstract

In this paper, we establish new a priori estimates for the coupled 2D Navier-Stokes equations and Fokker-Planck equation. As its applications, we prove the global existence of smooth solutions for the coupled 2D micro-macro models for polymeric fluids in the bounded domain.

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Correspondence to Zhifei Zhang.

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Communicated by P. Constantin

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Sun, Y., Zhang, Z. Global Well-Posedness for the 2D Micro-Macro Models in the Bounded Domain. Commun. Math. Phys. 303, 361–383 (2011). https://doi.org/10.1007/s00220-010-1170-0

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