Regularity criteria  for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain

Jishan Fan; Fucai Li; Gen  Nakamura

doi:10.3934/dcds.2016012

Article Contents

2016, Volume 36, Issue 9: 4915-4923. Doi: 10.3934/dcds.2016012

This issue Previous Article Neumann problem for non-divergence elliptic and parabolic equations with BMO$_x$ coefficients in weighted Sobolev spaces Next Article Multiple periodic solutions of delay differential systems with $2k-1$ lags via variational approach

Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain

1.
Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037
2.
Department of Mathematics, Nanjing University, Nanjing 210093
3.
Department of Mathematics, Hokkaido University, Sapporo, 060-0810

Received: May 31, 2015

Revised: February 29, 2016

Published: May 2017

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Abstract

In this paper we establish some regularity criteria for the three-dimensional Boussinesq system with the temperature-dependent viscosity and thermal diffusivity in a bounded domain.

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Mathematics Subject Classification: Primary: 35Q30; Secondary: 76D03, 76D09.

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References

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