Geodesic
The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 3-4, pp. 281-300 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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We review the main mathematical questions posed in blow-up problems for reaction-diffusion equations and discuss results of the author and collaborators on the subjects of continuation of solutions after blow-up, existence of transient blow-up solutions (so-called peaking solutions) and avalanche formation as a mechanism of complete blow-up. 
@article{RLIN_2004_9_15_3-4_a10,
     author = {V\'azquez, Juan Luis},
     title = {The problems of blow-up for nonlinear heat equations. {Complete} blow-up and avalanche formation},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {281--300},
     year = {2004},
     volume = {Ser. 9, 15},
     number = {3-4},
     zbl = {1162.35392},
     mrnumber = {MR2148886},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_3-4_a10/}
}
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Vázquez, Juan Luis. The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 15 (2004) no. 3-4, pp. 281-300. http://geodesic.mathdoc.fr/item/RLIN_2004_9_15_3-4_a10/