Global existence of solutions for the three-dimensional Boussinesq system with anisotropic data

Yuming Qin; Yang  Wang; Xing  Su; Jianlin  Zhang

doi:10.3934/dcds.2016.36.1563

Article Contents

2016, Volume 36, Issue 3: 1563-1581. Doi: 10.3934/dcds.2016.36.1563

This issue Previous Article On the existence of global strong solutions to the equations modeling a motion of a rigid body around a viscous fluid Next Article Large-time behavior of the full compressible Euler-Poisson system without the temperature damping

Global existence of solutions for the three-dimensional Boussinesq system with anisotropic data

1.
Department of Applied Mathematics, Donghua University, Shanghai 201620
2.
College of Information Science and Technology, Donghua University, Shanghai 201620

Received: September 30, 2014

Revised: March 31, 2015

Published: May 2017

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Abstract

In this paper, we study the three-dimensional axisymmetric Boussinesq equations with swirl. We establish the global existence of solutions for the three-dimensional axisymmetric Boussinesq equations for a family of anisotropic initial data.

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Mathematics Subject Classification: Primary: 35Q35, 35Q30, 35L65; Secondary: 76N10.

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