Global Well-Posedness of Incompressible Navier-Stokes Equations with Two Slow Variables

【Author】

Weimin PENG;Yi ZHOU;College of Science, University of Shanghai for Science and Technology;School of Mathematical Sciences, Fudan University;

【Institution】

College of Science, University of Shanghai for Science and Technology;School of Mathematical Sciences, Fudan University;

【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

References

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Springer Journals Database

Total: 13 articles

  • [1] Herbert Koch;;Daniel Tataru, Well-posedness for the Navier–Stokes Equations, Advances in Mathematics, 2001 (1)
  • [2] Marco Cannone, Chapter 3 Harmonic analysis tools for solving the incompressible Navier-Stokes equations, Handbook of Mathematical Fluid Dynamics, 2005
  • [3] Jean Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Mathematica, 1934 (1)
  • [4] Hiroshi Fujita;;Tosio Kato, On the Navier-Stokes initial value problem. I, Archive for Rational Mechanics and Analysis, 1964 (4)

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