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" Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary / "
Alfonso Castro, Victor Padrón
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BL
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| Record Number
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660170
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dltt
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| Main Entry
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Castro, Alfonso,1950-
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| Title & Author
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Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary /\ Alfonso Castro, Victor Padrón
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, 2010
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| Series Statement
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Memoirs of the American Mathematical Society,; no. 976
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| Page. NO
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v, 72 p. :: ill. ;; 26 cm
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| ISBN
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9780821847268 (alk. paper)
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: 0821847260 (alk. paper)
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| Notes
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"Volume 208, number 976 (first of 6 numbers)."
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"November 2010."
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| Bibliographies/Indexes
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Includes bibliographical references
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| Abstract
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Radial solution, unstable solution, stable solution, thermal structure, free boundary problem, ground states, equilibrium temperature
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"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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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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| Dewey Classification
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515/.353
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| LC Classification
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QA3.A57 no. 976QC20.7.D5
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| Added Entry
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Padron, Victor,1954-
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