Nonlinear Diffusion Equations

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  • Nonlinear Diffusion Equations Book Detail

  • Author : Zhuoqun Wu
  • Release Date : 2001
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 521
  • ISBN 13 : 9810247184
  • File Size : 36,36 MB

Nonlinear Diffusion Equations by Zhuoqun Wu PDF Summary

Book 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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Nonlinear Diffusion Equations

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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 sug

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The aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion equations, treated i

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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 sug