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141029s2010 riua ob 000 0 eng d |
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|a 662406417
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|a QA3
|b .A57 no. 976eb
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|a MAT
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|a UAMI
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|a Castro, Alfonso,
|d 1950-
|1 https://id.oclc.org/worldcat/entity/E39PCjKJJJxTrbHP87q8KtQpfq
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|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.
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264 |
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|a Providence, R.I. :
|b American Mathematical Society,
|c 2010.
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|a 1 online resource (v, 72 pages) :
|b illustrations
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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1 |
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v number 976
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|a Includes bibliographical references.
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|a "Volume 208, number 976 (first of 6 numbers)."
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|a "November 2010."
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|a Radial solution, unstable solution, stable solution, thermal structure, free boundary problem, ground states, equilibrium temperature.
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|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
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|a Print version record.
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|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.
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546 |
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|a English.
|
590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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0 |
|a Differential equations, Elliptic.
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650 |
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0 |
|a Radiative transfer
|x Mathematical models.
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650 |
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0 |
|a Initial value problems
|x Mathematical models.
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650 |
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|a Heat
|x Transmission
|x Mathematical models.
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650 |
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|a Earthquake prediction
|v Numerical solutions.
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650 |
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6 |
|a Équations différentielles elliptiques.
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650 |
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6 |
|a Transfert radiatif
|x Modèles mathématiques.
|
650 |
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6 |
|a Problèmes aux valeurs initiales
|x Modèles mathématiques.
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650 |
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6 |
|a Chaleur
|x Transmission
|x Modèles mathématiques.
|
650 |
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7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
|
650 |
|
7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
|
650 |
|
7 |
|a Differential equations, Elliptic
|2 fast
|
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 |
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|a Padron, Victor,
|d 1954-
|
776 |
0 |
8 |
|i Print version:
|a Castro, Alfonso, 1950-
|t Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary
|z 9780821847268
|w (DLC) 2010030075
|w (OCoLC)652443861
|
830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v no. 976.
|
856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114234
|z Texto completo
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