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January 2020 Initial boundary value problem for 3D Boussinesq system with the thermal damping
Yanghai Yu, Yanbin Tang
Osaka J. Math. 57(1): 61-83 (January 2020).

Abstract

In this paper we consider the initial boundary value problem for the 3D Boussinesq system with the velocity dissipation and weak damping effect to instead of the dissipation effect for the thermal conductivity and establish the global existence of weak solutions. Furthermore, we prove that the global weak solution is strong and unique under some small initial data condition.

Citation

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Yanghai Yu. Yanbin Tang. "Initial boundary value problem for 3D Boussinesq system with the thermal damping." Osaka J. Math. 57 (1) 61 - 83, January 2020.

Information

Published: January 2020
First available in Project Euclid: 15 January 2020

zbMATH: 07196616
MathSciNet: MR4052629

Subjects:
Primary: 35B65, 35Q35, 76W05

Rights: Copyright © 2020 Osaka University and Osaka City University, Departments of Mathematics

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Vol.57 • No. 1 • January 2020
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