Unbounded mass radial solutions for the Keller-Segel equation in the disk

Casteras, Jean-Baptiste; Bonheure, Denis; Román, Carlos

Type de document :

Pré-publication ou Document de travail

Titre :

Unbounded mass radial solutions for the Keller-Segel equation in the disk

Auteur(s) :

Casteras, Jean-Baptiste [Auteur]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Département de mathématiques Université Libre de Bruxelles
Bonheure, Denis [Auteur]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Département de mathématiques Université Libre de Bruxelles
Román, Carlos [Auteur]
Laboratoire Jacques-Louis Lions [LJLL]

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

We construct several families of radial solutions for the stationary Keller-Segel equation in the disk. The first family consists in solutions which blow up at the origin, as a parameter goes to zero, and concentrate on ...
Lire la suite >We construct several families of radial solutions for the stationary Keller-Segel equation in the disk. The first family consists in solutions which blow up at the origin, as a parameter goes to zero, and concentrate on the boundary. The second is made of solutions which blow up at the origin and concentrate on an interior sphere, while the solutions of the third family blow up at the origin and concentrate simultaneously on an interior sphere and on the boundary. Finally, we also show how to construct more families of multi-layered radial solutions provided a suitable non degeneracy assumption is satisfied.Lire moins >

Langue :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

1709.10471
Accès libre
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