Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary / Alfonso Castro, Víctor Padrón
Type de document : MonographieCollection : Memoirs of the American Mathematical Society, 976Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2010Description : 1 vol. (V-72 p.) : fig. ; 26 cmISBN: 9780821847268.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 71-72.Sujet MSC : 35-02, Research exposition (monographs, survey articles) pertaining to partial differential equations35J60, PDEs - Elliptic equations and elliptic systems, Nonlinear elliptic equations
85A25, Radiative transfer in astronomy and astrophysics
35K60, PDEs - Parabolic equations and parabolic systems, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
80A21, Classical thermodynamics, heat transfer, Radiative heat transfer
35B32, Qualitative properties of solutions to partial differential equations, Bifurcations in context of PDEs
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | Séries AMS (Browse shelf(Opens below)) | Available | 08230-01 |
Bibliogr. p. 71-72
The authors 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, their study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. They describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. They also provide information on the stability-unstability of the radial steady states. (Source : AMS)
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