ENGLISH

Nonlinear diffusion equations

By Wu Zhuoqun , Jingxue Yin , Huilai Li , Junning Zhao , Yin Jingxue , Li Huilai

Book information

Publisher
World Scientific
Year
2001
ISBN
9810247184, 9789810247188, 9789812799791
LCC
QA372 .N653 2001
Open Library ID
OL3579579M
Language
english
Format
DJVU
Filesize
2 MB (2427309 bytes)
Edition
1st
Pages
518\518
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26

Description

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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