STEADY STATE SOLUTIONS FOR A THERMAL EXPLOSION IN A CYLINDRICAL VESSEL

DOI10.1142/S0217984907013250zbMath1115.80005MaRDI QIDQ5297830

Charis Harley, Ebrahim Momoniat

Publication date: 13 July 2007

Published in: Modern Physics Letters B (Search for Journal in Brave)

zbMATH Keywords

blow-upLane-Emden equationnon-local symmetry

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Combustion (80A25)

Related Items (4)

Hopscotch method: The numerical solution of the Frank-Kamenetskii partial differential equation ⋮ High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane-Emden type ⋮ An implicit series solution for a boundary value problem modelling a thermal explosion ⋮ A THERMAL EXPLOSION IN A CYLINDRICAL VESSEL: A NON-CLASSICAL SYMMETRY APPROACH

Cites Work

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• Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents
• Blow-up behaviour of one-dimensional semilinear parabolic equations
• Refined asymptotics for the blowup of u_t — δu = u^p
• Non-local symmetries of first-order equations
• The thermal explosion revisited
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Phase-Plane Analysis of Nonlinear, Second-Order, Ordinary Differential Equations
• LIE, a PC program for Lie analysis of differential equations

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