Global Well-Posedness of Incompressible Navier-StokesEquations with Two Slow Variables

Citation:

Weimin PENG,Yi ZHOU.Global Well-Posedness of Incompressible Navier-StokesEquations with Two Slow Variables[J].Chinese Annals of Mathematics B,2017,38(3):787~794
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Authors:

Weimin PENG; Yi ZHOU

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11471215, 11031001, 11121101, 11626156), Shanghai Leading Academic Discipline Project (No.XTKX2012), the Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), the Ministry of Education of China, Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University and 111 Program of MOE, China (No.B08018).
Abstract: In this paper, the global well-posedness of the three-dimensional incompressible Navier-Stokes equations with a linear damping for a class of large initial data slowly varying in two directions are proved by means of a simpler approach.

Keywords:

Global well-posedness, Incompressible Navier-Stokes equations, Slow variables

Classification:

35Q30, 76D03, 76D05
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