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Nonlinear Diffusion Equations
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.
Nonlinear Evolution Equations and Related Topics
Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.
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Mechatronics and Materials Processing I
Volume is indexed by Thomson Reuters CPCI-S (WoS). This special volume brings together the latest advances in, and applications of, mechatronics and materials processing. It comprises 523 papers selected from the some 1000 papers originally submitted by universities and industrial concerns all over the world. The papers specifically cover the topics of manufacturing technology and processing, materials science and technology, mechatronics and automation. All of the papers were peer-reviewed, by selected experts, and chosen for their quality and relevance. This work will provide readers with a broad overview of the latest advances in the field of mechatronics and materials processing. It will also constitute a valuable reference work for researchers in the fields of mechatronics and materials processing.
