Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation
Fila, Marek ; Pulkkinen, Aappo
Tohoku Math. J. (2), Tome 60 (2008) no. 1, p. 303-328 / Harvested from Project Euclid
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We study the blow-up profile of radial solutions of a semilinear heat equation with an exponential source term. Our main aim is to show that solutions which can be continued beyond blow-up possess a nonconstant selfsimilar blow-up profile. For some particular solutions we determine this profile precisely.
Publié le : 2008-05-15
Classification:  Semilinear parabolic equation,  blow-up profile,  selfsimilar solutions,  35K57,  35B40 
@article{1223057730,
     author = {Fila, Marek and Pulkkinen, Aappo},
     title = {Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation},
     journal = {Tohoku Math. J. (2)},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 303-328},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1223057730}
}

Fila, Marek; Pulkkinen, Aappo. Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp.  303-328. http://gdmltest.u-ga.fr/item/1223057730/