| Description |
1 online resource (v, 72 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; number 976 |
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Memoirs of the American Mathematical Society ; no. 976.
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| Contents |
Introduction Chapter 1. Bifurcation diagrams Chapter 2. Oscillation properties Chapter 3. Ground states Chapter 4. Stability of thermal structures Chapter 5. Proof of main theorems Chapter 6. The degenerate case, $k=-1$ Chapter 7. Appendix 1. The conservative case ($N=1$) Chapter 8. Appendix 2. Pohozaev identity |
| Summary |
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 |
| Bibliography |
Includes bibliographical references |
| Notes |
"Volume 208, number 976 (first of 6 numbers)." |
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"November 2010." |
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English |
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Print version record |
| Subject |
Differential equations, Elliptic.
|
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Radiative transfer -- Mathematical models
|
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Initial value problems -- Mathematical models
|
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Heat -- Transmission -- Mathematical models
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Earthquake prediction -- Numerical solutions
|
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Differential equations, Elliptic
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Earthquake prediction
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Heat -- Transmission -- Mathematical models
|
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Radiative transfer -- Mathematical models
|
| Form |
Electronic book
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| Author |
Padron, Victor, 1954-
|
| ISBN |
9781470405908 |
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1470405903 |
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