Stabilization criteria for thermally explosive materials

DOI10.1007/BF01176251zbMath0551.76088OpenAlexW2088112948MaRDI QIDQ800791

Paul. B. Bailey, Peter J. Chen, Brian Straughan

Publication date: 1984

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176251

zbMATH Keywords

Arrhenius reactionpolynomial heat sourceTaylor vortex problem

Mathematics Subject Classification ID

Heat equation (35K05) Combustion (80A25) Reaction effects in flows (76V05)

Related Items (1)

Energy methods for nonlinear stability in convection problems primarily related to geophysics

Cites Work

• Unnamed Item
• Exchange of stabilities, symmetry, and nonlinear stability
• Global classical solutions to \(u_t-\Delta(u^{2m+1})+\lambda u=f\).
• Maximum principles and their applications
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Global Behavior for a Class of Nonlinear Evolution Equations
• On thermal instability in rigid heat conductors with nonlinear heat generation
• Elliptic Partial Differential Equations of Second Order

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