Nonlinear Diffusion Equations

Nonlinear Diffusion Equations
Author :
Publisher : World Scientific
Total Pages : 521
Release :
ISBN-10 : 9789814490368
ISBN-13 : 9814490369
Rating : 4/5 (369 Downloads)

Book Synopsis Nonlinear Diffusion Equations by : Huilai Li

Download or read book Nonlinear Diffusion Equations written by Huilai Li and published by World Scientific. This book was released on 2001-11-12 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear diffusion equations, an important class of parabolic equations, come from a variety of diffusion phenomena which appear widely in nature. They are suggested as mathematical models of physical problems in many fields, such as filtration, phase transition, biochemistry and dynamics of biological groups. In many cases, the equations possess degeneracy or singularity. The appearance of degeneracy or singularity makes the study more involved and challenging. Many new ideas and methods have been developed to overcome the special difficulties caused by the degeneracy and singularity, which enrich the theory of partial differential equations.This book provides a comprehensive presentation of the basic problems, main results and typical methods for nonlinear diffusion equations with degeneracy. Some results for equations with singularity are touched upon.


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