Decay estimates of global solution to 2D incompressible Navier-Stokes equations with variable viscosity

J. Huang; Marius Paicu

doi:10.3934/dcds.2014.34.4647

Article Contents

2014, Volume 34, Issue 11: 4647-4669. Doi: 10.3934/dcds.2014.34.4647

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Decay estimates of global solution to 2D incompressible Navier-Stokes equations with variable viscosity

J. Huang^1, and
Marius Paicu^2,

1.
Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100190
2.
Université Bordeaux 1, Institut de Mathématiques de Bordeaux, F-33405 Talence Cedex

Received: September 2013

Revised: December 2013

Published: November 2014

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Abstract

In this paper, we investigate the time decay behavior to weak solution of 2D incompressible inhomogeneous Navier-Stokes equations. Granted the decay estimates, we gain a global well-posed result of these solutions.

Keywords:

Inhomogeneous Navier-Stokes equations,
decay estimates.

Mathematics Subject Classification: 35Q30, 76D03.

Citation:

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References

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