Abstract
This paper studies the Cauchy problem of the 3D Navier–Stokes equations with nonlinear damping term | u | β−1u (β ≥ 1). For β ≥ 3, we derive a decay rate of the L2‐norm of the solutions. Then, the large time behavior is given by comparing the equation with the classic 3D Navier–Stokes equations. Copyright © 2011 John Wiley & Sons, Ltd.
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