Continuous dependence on the source parameters for convective motion in porous media

DOI10.1016/0362-546X(92)90147-7zbMath0749.76076OpenAlexW1990024768MaRDI QIDQ4008909

Brian Straughan, Angelo Morro

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90147-7

zbMATH Keywords

energy methodheat sourcebody forceviscous fluidbackward in time problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Ill-posed problems for PDEs (35R25) Free convection (76R10)

Related Items

Spatial decay estimates for the Fochheimer equations interfacing with a Darcy equations ⋮ Continuous dependence on modeling for related Cauchy problems of a class of evolution equations ⋮ Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions ⋮ Modelling boundary and nonlinear effects in porous media flow ⋮ Structural stability in resonant penetrative convection in a Brinkman-Forchheimer fluid interfacing with a Darcy fluid

Cites Work

• Comparison of viscous flows backward in time with small data
• Properties of Solutions of Parabolic Equations and Inequalities
• Error estimates for the temperature of a piece of cold ice, given data on only part of the boundary
• Continuous dependence on the heat source and non-linear stability for convection with internal heat generation
• Improved Stability Estimates for Classes of Illposed Cauchy Problems
• Uniqueness and stability for the conduction-diffusion solution to the Boussinesq equations backward in time
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