Bifurcation theory : an introduction with applications to partial differential equations
 Responsibility
 Hansjörg Kielhöfer.
 Edition
 2nd ed.
 Imprint
 New York, NY : Springer, c2012.
 Physical description
 vii, 398 p. : ill. ; 24 cm.
 Series
 Applied mathematical sciences (SpringerVerlag New York Inc.) ; v. 156.
Access
Available online
 dx.doi.org SpringerLink
Science Library (Li and Ma)
Stacks
Call number  Status 

QA380 .K54 2012  Unknown 
More options
Creators/Contributors
 Author/Creator
 Kielhöfer, Hansjörg.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 387394) and index.
 Contents

 Introduction. Global Theory. Applications.
 (source: Nielsen Book Data)9781461405016 20160607
 Publisher's Summary
 In the past three decades, bifurcation theory has matured into a wellestablished and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of oneparameter bifurcations for operators acting in infinitedimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoreticallyinclined engineers working in bifurcation theory and its applications to partial differential equations. The second edition is substantially and formally revised and new material is added. Among this is bifurcation with a twodimensional kernel with applications, the buckling of the Euler rod, the appearance of Taylor vortices, the singular limit process of the CahnHilliard model, and an application of this method to more complicated nonconvex variational problems.
(source: Nielsen Book Data)9781461405016 20160607
Subjects
Bibliographic information
 Publication date
 2012
 Series
 Applied mathematical sciences, 00665452 ; v.156
 ISBN
 9781461405016
 1461405017
 9781461405023 (eISBN)
 1461405025 (eISBN)