Nonlinear heat conduction through an externally heated radiant plasma: Background analysis for a numerical study

DOI10.1006/jmaa.1999.6502zbMath0940.35108OpenAlexW1985118488MaRDI QIDQ1125296

Graham H. Williams, Mikhail M. jun. Lavrentiev, Philip Broadbridge

Publication date: 14 February 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6502

zbMATH Keywords

similarity solutionsLie symmetriestime-dependent boundary data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (1)

Solutions and reductions for radiative energy transport in laser-heated plasma

Uses Software

• DIMSYM

Cites Work

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• Nodal properties of solutions of parabolic equations
• A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures
• The zero set of a solution of a parabolic equation.
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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