The authors derive L2 asymptotic profiles for linear 3D micropolar equations and show restricted Leray solutions to the nonlinear system behave like their linear counterparts up to critical decay O(t^{-5/2}).
Lukaszewicz.Micropolar fluids
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Asymptotic profiles and large-time behavior for 3D micropolar fluid equations with possibly vanishing spin viscosity
The authors derive L2 asymptotic profiles for linear 3D micropolar equations and show restricted Leray solutions to the nonlinear system behave like their linear counterparts up to critical decay O(t^{-5/2}).