The large time behavior of solutions to 3D Navier–Stokes equations with nonlinear damping | Zendy

Jiang Zaihong | Zendy; Zhu Mingxuan | Zendy

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The large time behavior of solutions to 3D Navier–Stokes equations with nonlinear damping

Author(s) -

Jiang Zaihong,

Zhu Mingxuan

Publication year - 2011

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1540

Subject(s) - mathematics , nonlinear system , navier–stokes equations , norm (philosophy) , mathematical analysis , initial value problem , cauchy problem , term (time) , physics , compressibility , mechanics , law , quantum mechanics , political science

This paper studies the Cauchy problem of the 3D Navier–Stokes equations with nonlinear damping term | u | β −1 u ( β ≥ 1). For β ≥ 3, we derive a decay rate of the L 2 ‐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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