Concerning an Equation in the Theory of Combustion
Matematičeskie zametki, Tome 88 (2010) no. 1, pp. 53-62
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A model equation in the theory of combustion is considered. For this equation, we establish estimates for the instant of thermal explosion, i.e., of the blow-up of the solution, both for the Cauchy problem and for initial boundary-value problems.
Keywords:
nonlinear parabolic equation, theory of combustion, blow-up of a solution, Cauchy problem, Dirichlet problem, initial boundary-value proble.
Mots-clés : thermal explosion
Mots-clés : thermal explosion
@article{MZM_2010_88_1_a4,
author = {S. I. Pokhozhaev},
title = {Concerning an {Equation} in the {Theory} of {Combustion}},
journal = {Matemati\v{c}eskie zametki},
pages = {53--62},
year = {2010},
volume = {88},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_1_a4/}
}
S. I. Pokhozhaev. Concerning an Equation in the Theory of Combustion. Matematičeskie zametki, Tome 88 (2010) no. 1, pp. 53-62. http://geodesic.mathdoc.fr/item/MZM_2010_88_1_a4/
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