A01=Huilai Li
A01=Jingxue Yin
A01=Junning Zhao
A01=Zhuoqun Wu
Author_Huilai Li
Author_Jingxue Yin
Author_Junning Zhao
Author_Zhuoqun Wu
Bounded Variation
BV Solution
Cahn-Hilliard
CahnAcAEURA"Hilliard
Category=PBKJ
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existence of Solutions
Interface
Newtonian Filtration Equation
Non-Newtonian Filtration Equation
Nonlinear Diffusion Equation of Highter Order
p-Laplace
Porous Medium
Properties of Free Boundary
Properties of Solutions
Quasilinear Degenerate Parabolic Equation
Regularity of Solutions
Uniqueness of Solutions
Product details
- ISBN 9789810247188
- Publication Date: 12 Nov 2001
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
