Nonlinear diffusion equations
Wu Zhuoqun, Jingxue Yin, Huilai Li, Junning Zhao, Yin Jingxue, Li Huilai
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.
Kategori:
Tahun:
2001
Edisi:
1st
Penerbit:
World Scientific
Bahasa:
english
Halaman:
518
ISBN 10:
9812799796
ISBN 13:
9789812799791
Fail:
DJVU, 2.31 MB
IPFS:
,
english, 2001