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Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary /
Radial solution, unstable solution, stable solution, thermal structure, free boundary problem, ground states, equilibrium temperature.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2010.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 976. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Radial solution, unstable solution, stable solution, thermal structure, free boundary problem, ground states, equilibrium temperature. "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."--Publisher's website |
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| Notas: | "Volume 208, number 976 (first of 6 numbers)." "November 2010." |
| Descripción Física: | 1 online resource (v, 72 pages) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781470405908 1470405903 |
| ISSN: | 0065-9266 ; |