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}).
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math.AP 2years
2026 2verdicts
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The large-time asymptotics of 2D micropolar flows depend only on kinematic viscosity μ, independent of χ, γ, and κ, via a new enstrophy-like identity relating fluid vorticity to micro-angular velocity.
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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}).
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On the Role of the Viscosity Parameters in the Large Time Asymptotics of 2D Micropolar Flows
The large-time asymptotics of 2D micropolar flows depend only on kinematic viscosity μ, independent of χ, γ, and κ, via a new enstrophy-like identity relating fluid vorticity to micro-angular velocity.