Comptes Rendus
no. 3
Partial differential equations
A short remark on a growth–fragmentation equation
[Une brève remarque sur une équation de croissance–fragmentation]

Présenté par : Haïm Brézis

Miguel Escobedo1
1 Departamento de Matemáticas, Universidad del País Vasco (UPV/EHU), 48080 Bilbao, Spain
Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 290-295.

Nous obtenons une solution explicite d'une équation de croissance–fragmentation avec mesure de dislocation constante. Dans cet exemple, la condition nécessaire sous laquelle les résultats généraux d'existence de solutions globales sont obtenus dans [5] pour le cas dit self-similaire n'est pas satisfaite. La solution est locale et explose en temps fini.

An explicit solution for a growth fragmentation equation with constant dislocation measure is obtained. In this example the necessary condition for the general results in [5] about the existence of global solutions in the so-called self-similar case is not satisfied. The solution is local and blows up in finite time.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.01.013
Miguel Escobedo 1

1 Departamento de Matemáticas, Universidad del País Vasco (UPV/EHU), 48080 Bilbao, Spain 
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Miguel Escobedo. A short remark on a growth–fragmentation equation. Comptes Rendus. Mathématique, Volume 355 (2017) no. 3, pp. 290-295. doi : 10.1016/j.crma.2017.01.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.01.013/

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