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Global existence and optimal decay rate of weak solutions to the co-rotation Hooke model

Global existence and optimal decay rate of weak solutions to the co-rotation Hooke model

In this paper, we mainly study global existence and optimal $L^2$ decay rate of weak solutions to the co-rotation Hooke model. This micro-macro model is a coupling of the Navier-Stokes equation with a nonlinear Fokker-Planck equation. Based on the defect measure propagation method, we prove that the co-rotation Hooke model …