Continuous dependence on the viscostiy for the oberbeck-boussinesq equations

DOI10.1080/00036819308840187zbMath0795.35135OpenAlexW2038472108MaRDI QIDQ4291832

Lorna Richardson

Publication date: 15 May 1994

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819308840187

zbMATH Keywords

heat-conducting viscous fluidbackward in time problemforward in time problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

• Comparison of viscous flows backward in time with small data
• Order of convergence estimates on the interaction term for a micropolar fluid
• Continuous dependence on the heat source and nonlinear stability in penetrative convection
• Unique continuation for parabolic differential equations and inequalities
• On the stability of solutions of Navier-Stokes equations backward in time
• Uniqueness and continuous dependence criteriafor the Navier-Stokes equations
• Properties of Solutions of Parabolic Equations and Inequalities
• Continuous dependence on the heat source and non-linear stability for convection with internal heat generation

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