Solution blowup for the~heat equation with double nonlinearity
Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 339-343
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We consider a model initial boundary value problem for the heat equation with double nonlinearity. We use a modified Levin method to prove the solution blowup.
Keywords:
finite-time blowup, nonlinear heat conduction, nonlinear parabolic equation with double nonlinearity, nonlinear mixed boundary value problem.
@article{TMF_2012_172_3_a0,
author = {M. O. Korpusov},
title = {Solution blowup for the~heat equation with double nonlinearity},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {339--343},
publisher = {mathdoc},
volume = {172},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a0/}
}
M. O. Korpusov. Solution blowup for the~heat equation with double nonlinearity. Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 339-343. http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a0/