A remark on the Lipschitz estimates of solutions to Navier–Stokes equations | Zendy

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A remark on the Lipschitz estimates of solutions to Navier–Stokes equations

Author(s) -

Wu Gang,

Zhang Bo

Publication year - 2010

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.1317

Subject(s) - mathematics , lipschitz continuity , navier–stokes equations , norm (philosophy) , mathematical analysis , type (biology) , polynomial , constant (computer programming) , rotational symmetry , compressibility , geometry , mechanics , physics , law , ecology , political science , computer science , biology , programming language

In this paper, we establish a constant‐type growth estimate in the Lipschitz norm of solutions to the 2D Navier–Stokes equations with fractional diffusion and a polynomial‐type growth estimate of solutions to the 3D axisymmetric Navier–Stokes equations. Copyright © 2010 John Wiley & Sons, Ltd.

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