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| Global Well-Posedness of Incompressible Navier-StokesEquations with Two Slow Variables |
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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 |
| Page view： 33
Net amount： 41 |
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). |
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| 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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