Pré-Publication, Document De Travail Année : 2010

Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term

Résumé

We consider a nonlinear heat equation with a gradient term. We construct a blow-up solution for this equation with a prescribed blow-up profile. For that, we translate the question in selfsimilar variables and reduce the problem to a finite dimensional one. We then solve the finite dimensional problem using index theory. The interpretation of the finite dimensional parameters allows us to derive the stability of the constructed solution with respect to initial data.

Fichier principal
Vignette du fichier
EbdeZaag.pdf (220.7 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-00570159 , version 1 (27-02-2011)

Licence

Identifiants

Citer

Mohammed Abderrahman Ebde, Hatem Zaag. Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term. 2010. ⟨hal-00570159⟩
166 Consultations
264 Téléchargements

Altmetric

Partager

  • More