Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion

DOI10.1142/S0219891615500137zbMath1328.35173OpenAlexW2183269931MaRDI QIDQ3451147

Huapeng Li, Ronghua Pan, Weizhe Zhang

Publication date: 10 November 2015

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891615500137

zbMATH Keywords

Boussinesq equationsglobal behaviortemperature-dependent heat diffusion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Viscous-inviscid interaction (76D09) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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Cites Work

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• On the initial value problem for the heat convection equation of Boussinesq approximation in a time-dependent domain
• Remarks on the Euler equation
• 2D inviscid heat conductive Boussinesq equations on a bounded domain
• Global regularity for the initial-boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• On classical solutions of the two-dimensional non-stationary Euler equation
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• The initial value problem for a generalized Boussinesq model

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