A mathematical analysis of thermal explosions

DOI10.1155/S0161171201006706zbMath1012.35034MaRDI QIDQ1607781

Kazuaki Taira

Publication date: 13 August 2002

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50019

zbMATH Keywords

existenceuniquenesspositive solutionsBanach spacenonlinear operator equationheat flowvariational formulafixed point techniqueNewtonian coolingArrhenius rate lawFrank-Kamenetskij parameter

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) Combustion (80A25)

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