| Titre : | Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary | | Type de document : | texte imprimé | | Auteurs : | Alfonso CASTRO, Auteur ; Victor PADRÓN, Auteur | | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | | Année de publication : | cop. 2010 | | Collection : | Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 976 | | Importance : | 72 p. | | ISBN/ISSN/EAN : | 978-0-8218-4726-8 | | Langues : | Anglais | | Catégories : | 35J60
35K60
85A25
| | Mots-clés : | équation différentielle elliptique | | Résumé : | We provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, our study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. We describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. We also provide information on the stability-unstability of the radial steady states. | | Note de contenu : | bibliogr. |
Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary [texte imprimé] / Alfonso CASTRO, Auteur ; Victor PADRÓN, Auteur . - Providence, R. I. (Etats Unis) : American Mathematical Society, cop. 2010 . - 72 p.. - ( Memoirs of the American Mathematical Society, ISSN 0065-9266; 976) . ISBN : 978-0-8218-4726-8 Langues : Anglais | Catégories : | 35J60
35K60
85A25
| | Mots-clés : | équation différentielle elliptique | | Résumé : | We provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, our study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. We describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. We also provide information on the stability-unstability of the radial steady states. | | Note de contenu : | bibliogr. |
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