A boundary value problem of thermal convection

DOI10.1016/0022-0396(80)90048-0zbMath0379.76080OpenAlexW2090177680MaRDI QIDQ1247247

John Tavantzis, Edward L. Reiss

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90048-0

zbMATH Keywords

asymptotic expansionbifurcationperturbation methodboundary value problemcritical Rayleigh numberthermal convectionMorse lemmarectangular regionR. Thom,two-dimensional viscous fluid

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Diffusion and convection (76R99) Differentiable maps on manifolds (58C25) Nonlinear operators and their properties (47H99)

Related Items (3)

Existence and stability in convection in porous media ⋮ A posteriori error analysis of an augmented mixed-primal formulation for the stationary Boussinesq model ⋮ Finite-time blow-up of a non-local stochastic parabolic problem

Cites Work

• Applications of generic bifurcation. I
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Interior estimates for elliptic systems of partial differential equations
• On the Smooth Transition to Convection
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