Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium Or No Flux at the Boundary

Download or read book Classification of Radial Solutions Arising in the Study of Thermal Structures with Thermal Equilibrium Or No Flux at the Boundary written by Alfonso Castro and published by . This book was released on 2010 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.