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: 9783642046308
Price: 560.82 PLN
Availability: InStock

Autor: Atsushi Yagi

Język:

Oprawa: Twarda

Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostępność: Dostępna u dostawcy w małych ilościach

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

Informacje o książce

Autor

Atsushi Yagi

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2009

strony

581

EAN

9783642046308

ISBN

3642046304

Enbook ID

01650597

Wydawca

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Waga

1070

Wymiary

242 x 168 x 39

Pełny opis

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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