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Study Nonlinear Diffusion Equations

Posted on 2010-03-16




Name:Study Nonlinear Diffusion Equations
ASIN/ISBN:9810247184
Language:English
File size:12.5 Mb
Publish Date: 2002-04-15
ISBN: 9810247184
Pages: 500 pages
File Type: PDF
File Size: 12,5 MB
Other Info: World Scientific Publishing Company
   Study Nonlinear Diffusion Equations

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Wu Zhuoqun, Jingxue Yin, Huilai Li, Junning Zhao, Yin Jingxue, Li Huilai "Nonlinear Diffusion Equations"

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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