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Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations
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Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations
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Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations
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Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations
Journal Article

Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations

2023
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Overview
We consider the large time behavior of the solutions for the initial value problem of the Navier–Stokes equations with the Coriolis force in the three-dimensional whole space. We show the L p temporal decay estimates with the dispersion effect of the Coriolis force for the global solutions. Moreover, we prove the large time asymptotic expansion of the solutions behaving like the first-order spatial derivatives of the integral kernel of the corresponding linear solution.