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Abstract Parabolic Evolution Equations and their Applications

Name: Abstract Parabolic Evolution Equations and their Applications
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01650597
Price: 115.29 EUR
Availability: InStock
Author: Atsushi Yagi
ISBN: 9783642046308

Atsushi Yagi

Language

English

Book Hardback

Libristo code: 01650597

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, December 2009

The semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equations and s... Full description

Libristo code: 01650597

282 b

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The semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equations and systems. The author has studied abstract parabolic evolution equations and their applications to nonlinear diffusion equations and systems for more than 30 years. He gives first, after reviewing the theory of analytic semigroups, an overview of the theories of linear, semilinear and quasilinear abstract parabolic evolution equations as well as general strategies for constructing dynamical systems, attractors and stable-unstable manifolds associated with those nonlinear evolution equations.§In the second half of the book, he shows how to apply the abstract results to various models in the real world focusing on various self-organization models: semiconductor model, activator-inhibitor model, B-Z reaction model, forest kinematic model, chemotaxis model, termite mound building model, phase transition model, and Lotka-Volterra competition model. The process and techniques are explained concretely in order to analyze nonlinear diffusion models by using the methods of abstract evolution equations.§Thus the present book fills the gaps of related titles that either treat only very theoretical examples of equations or introduce many interesting models from Biology and Ecology, but do not base analytical arguments upon rigorous mathematical theories.

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About the book

Full name Abstract Parabolic Evolution Equations and their Applications

Author Atsushi Yagi

Language

English

Binding Book - Hardback

Date of issue 2009

Number of pages 581

EAN 9783642046308

ISBN 3642046304

Libristo code 01650597

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Weight 1070

Dimensions 242 x 168 x 39

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