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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

Lingua

Inglese

Libro Rigido

Codice Libristo: 01650597

Casa editrice Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, dicembre 2009

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

Codice Libristo: 01650597

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115.29 €

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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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Informazioni sul libro

Titolo completo Abstract Parabolic Evolution Equations and their Applications

Autore Atsushi Yagi

Lingua

Inglese

Rilegatura Libro - Rigido

Data di pubblicazione 2009

Numero di pagine 581

EAN 9783642046308

ISBN 3642046304

Codice Libristo 01650597

Casa editrice Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Peso 1070

Dimensioni 242 x 168 x 39

Categorie

Matematica e Scienze > Matematica > Calcolo e analisi matematica > Calcolo differenziale ed equazioni differenziali

Matematica e Scienze > Matematica > Algebra

Matematica e Scienze > Matematica > Matematica applicata

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