Stability and Newton's law of cooling in double diffusive flow

DOI10.1006/jmaa.1998.6168zbMath0915.76089OpenAlexW2090452629MaRDI QIDQ1284022

Brian Straughan, Karen A. Ames

Publication date: 12 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6168

zbMATH Keywords

a priori estimatesinfinite Prandtl numbersalt fieldviscous heat conducting fluid

Mathematics Subject Classification ID

Related Items (5)

Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain ⋮ Falling film flow of a viscoelastic fluid along a wall ⋮ Structural stability for temperature-dependent bidispersive flow in a semi-infinite pipe ⋮ Structural stability in resonant penetrative convection in a Brinkman-Forchheimer fluid interfacing with a Darcy fluid ⋮ Heat transfer and Couette flow of a chemically reacting non-linear fluid

Cites Work

• Unnamed Item
• Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
• Continuous dependence on modeling in the Cauchy problem for nonlinear elliptic equations
• Effect of errors in the spatial geometry for temperature dependent Stokes flow
• Steady nonlinear double-diffusive convection in a porous medium based upon the Brinkman-Forchheimer model
• Spatial decay estimates for the Brinkman and Darcy flows in a semi-infinite cylinder
• Nonlinear stability problem of a rotating doubly diffusive porous layer
• Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media
• Phragmén-Lindelöf and continuous dependence type results in generalized heat conduction
• ON THE SPATIAL DECAY OF ILL-POSED PARABOLIC PROBLEMS
• Structural stability for the Darcy equations of flow in porous media
• A priori bounds and structural stability for double-diffusive convection incorporating the Soret effect
• DECAY AND OTHER ESTIMATES FOR AN ELASTIC CYLINDER
• Convective Instabilities in Anisotropic Porous Media
• The Influence of Domain and Diffusivity Perturbations on the Decay of End Effects in Heat Conduction
• Continuous dependence results for solutions of the Navier-Stokes equations backward in time
• Continuous dependence results for a problem in penetrative convection
• Spatial decay estimates for plane flow in Brinkman-Forchheimer model
• ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS MEDIUM
• Structural Stability for the Brinkman Equations of Porous Media
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Double‐Diffusive Convection in a Porous Medium, Nonlinear Stability, and the Brinkman Effect
• Nonlinear Convective Stability in a Porous Medium with Temperature‐Dependent Viscosity and Inertial Drag

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