Existence of convective solutions of the generalized Benard problem which are analytic in their norm

DOI10.1007/BF00247756zbMath0193.56601MaRDI QIDQ2538643

Daniel D. Joseph, Paul C. Fife

Publication date: 1969

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

fluid mechanics

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Cites Work

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• Nonlinear stability of the Boussines q equations by the method of energy
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Stabilität und Verzweigung stationärer Lösungen der Navier- Stokesschen Gleichungen beim Taylorproblem. (Stability and branching of the stationary solutions of the Navier-Stokes equation on the problems of Taylor)
• Finite amplitude cellular convection
• Heat transport by turbulent convection
• On the stability of steady finite amplitude convection
• On the non-existence of subcritical instabilities in fluid layers heated from below
• The stability of finite amplitude cellular convection and its relation to an extremum principle
• Subcritical Instability and Exchange of Stability in a Horizontal Fluid Layer
• Finite amplitude convection with changing mean temperature. Part 1. Theory
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II