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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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Castro, Alfonso, 1950-
Otros Autores: Padron, Victor, 1954-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, 2010.
Colección:Memoirs of the American Mathematical Society ; no. 976.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Castro, Alfonso,  |d 1950-  |1 https://id.oclc.org/worldcat/entity/E39PCjKJJJxTrbHP87q8KtQpfq 
245 1 0 |a Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary /  |c Alfonso Castro, Victor Padrón. 
264 1 |a Providence, R.I. :  |b American Mathematical Society,  |c 2010. 
300 |a 1 online resource (v, 72 pages) :  |b illustrations 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v number 976 
504 |a Includes bibliographical references. 
500 |a "Volume 208, number 976 (first of 6 numbers)." 
500 |a "November 2010." 
520 0 |a Radial solution, unstable solution, stable solution, thermal structure, free boundary problem, ground states, equilibrium temperature. 
520 3 |a "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 
588 0 |a Print version record. 
505 0 0 |t Introduction  |t Chapter 1. Bifurcation diagrams  |t Chapter 2. Oscillation properties  |t Chapter 3. Ground states  |t Chapter 4. Stability of thermal structures  |t Chapter 5. Proof of main theorems  |t Chapter 6. The degenerate case, $k=-1$  |t Chapter 7. Appendix 1. The conservative case ($N=1$)  |t Chapter 8. Appendix 2. Pohozaev identity. 
546 |a English. 
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650 0 |a Differential equations, Elliptic. 
650 0 |a Radiative transfer  |x Mathematical models. 
650 0 |a Initial value problems  |x Mathematical models. 
650 0 |a Heat  |x Transmission  |x Mathematical models. 
650 0 |a Earthquake prediction  |v Numerical solutions. 
650 6 |a Équations différentielles elliptiques. 
650 6 |a Transfert radiatif  |x Modèles mathématiques. 
650 6 |a Problèmes aux valeurs initiales  |x Modèles mathématiques. 
650 6 |a Chaleur  |x Transmission  |x Modèles mathématiques. 
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650 7 |a Earthquake prediction  |2 fast 
650 7 |a Heat  |x Transmission  |x Mathematical models  |2 fast 
650 7 |a Radiative transfer  |x Mathematical models  |2 fast 
700 1 |a Padron, Victor,  |d 1954- 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 976. 
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