On the initial value problem for the heat convection equation of Boussinesq approximation in a time-dependent domain

DOI10.3792/pjaa.64.143zbMath0682.35053OpenAlexW2134207882MaRDI QIDQ1824102

Kazuo Ōeda

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.143

zbMATH Keywords

uniquenessBoussinesq approximationstrong solutiontime-dependent domain

Mathematics Subject Classification ID

Related Items (10)

Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion ⋮ A time-dependent perturbation solution from a steady state for Marangoni problem ⋮ Remarks on the periodic solution of the heat convection equation in a perturbed annulus domain ⋮ \textit{A priori} error estimates of a three-step two-level finite element Galerkin method for a 2D-Boussinesq system of equations ⋮ Remarks on the stability of certain periodic solutions of the heat convection equations ⋮ Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature ⋮ The nonsteady Boussinesq system with mixed boundary conditions including conditions of friction type ⋮ On heat convection equations in a half space with non-decaying data and Stokes semi-group on Besov spaces based on \(L^{\infty }\) ⋮ Periodic solutions of the 2-dimensional heat convection equations ⋮ The initial value problem for a generalized Boussinesq model

Cites Work

• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Existence and nonuniqueness of rectangular solutions of the Benard problem
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