The large time behavior of solutions to 3D Navier–Stokes equations with nonlinear damping |
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| Authors: | Zaihong Jiang Mingxuan Zhu |
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| Institution: | Department of Mathematics, Zhejiang Normal University, , Jinhua 321004, China |
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| 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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| Keywords: | Navier– Stokes equations decay damping |
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