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The Resource Abstract parabolic evolution equations and their applications, Atsushi Yagi

Abstract parabolic evolution equations and their applications, Atsushi Yagi

Label
Abstract parabolic evolution equations and their applications
Title
Abstract parabolic evolution equations and their applications
Statement of responsibility
Atsushi Yagi
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
UKM
http://library.link/vocab/creatorDate
1951-
http://library.link/vocab/creatorName
Yagi, Atsushi
Dewey number
515.3534
Illustrations
illustrations
Index
index present
LC call number
QA377.3
LC item number
.Y35 2010
Literary form
non fiction
Nature of contents
bibliography
Series statement
Springer monographs in mathematics
http://library.link/vocab/subjectName
  • Evolution equations
  • Differential equations, Parabolic
  • Evolutionsgleichung
  • Nichtlineare Diffusionsgleichung
  • Parabolische Differentialgleichung
  • Differential equations, Parabolic
  • Evolution equations
Label
Abstract parabolic evolution equations and their applications, Atsushi Yagi
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Preliminaries -- 2. Sectorial operators -- 3. Linear evolution equations -- 4. Semilinear evolution equations -- 5. Quasilinear evolution equations -- 6. Dynamical systems -- 7. Numerical analysis -- 8. Semiconductor models -- 9. Activator-inhibitor models -- 10. Belousov-Zhabotinskii reaction models 11. Forrest kinematic model -- 12. Chemotaxis models -- 13. Termite mound building model -- 14. Adsorbate-induced phase transition model -- 15. Lotka-Volterra competition model with cross-diffusion -- 16. Characterization of domains of fractional powers
Control code
499059053
Dimensions
24 cm
Extent
xviii, 581 pages
Isbn
9783642046308
Isbn Type
(hbk.)
Lccn
2009939692
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
Publisher number
12717972
System control number
(OCoLC)499059053
Label
Abstract parabolic evolution equations and their applications, Atsushi Yagi
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1. Preliminaries -- 2. Sectorial operators -- 3. Linear evolution equations -- 4. Semilinear evolution equations -- 5. Quasilinear evolution equations -- 6. Dynamical systems -- 7. Numerical analysis -- 8. Semiconductor models -- 9. Activator-inhibitor models -- 10. Belousov-Zhabotinskii reaction models 11. Forrest kinematic model -- 12. Chemotaxis models -- 13. Termite mound building model -- 14. Adsorbate-induced phase transition model -- 15. Lotka-Volterra competition model with cross-diffusion -- 16. Characterization of domains of fractional powers
Control code
499059053
Dimensions
24 cm
Extent
xviii, 581 pages
Isbn
9783642046308
Isbn Type
(hbk.)
Lccn
2009939692
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
Publisher number
12717972
System control number
(OCoLC)499059053

Library Locations

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      38.944377 -92.326537
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