Description |
1 online resource (xvii, 502 pages) |
Note |
"The first edition of this book published in 1996 was written in Chinese. The present edition is basically an English translation of the first edition"--Page xi. |
Bibliography |
Includes bibliographical references (pp479-502). |
Note |
Print version record. |
Summary |
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. |
Subject |
Burgers equation.
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Heat equation.
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MATHEMATICS -- Differential Equations -- Ordinary.
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Burgers equation. (OCoLC)fst00841724
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Heat equation. (OCoLC)fst00953865
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Genre/Form |
Electronic books.
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Added Author |
Wu, Zhuoqun.
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Other Form: |
Print version: Nonlinear diffusion equations. River Edge, N.J. : World Scientific, ©2001 (DLC) 2002265584 |
ISBN |
9789812799791 (electronic bk.) |
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9812799796 (electronic bk.) |
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