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The Resource Bifurcation theory : an introduction with applications to partial differential equations, by Hansjörg Kielhöfer

Bifurcation theory : an introduction with applications to partial differential equations, by Hansjörg Kielhöfer

Label
Bifurcation theory : an introduction with applications to partial differential equations
Title
Bifurcation theory
Title remainder
an introduction with applications to partial differential equations
Statement of responsibility
by Hansjörg Kielhöfer
Creator
Subject
Language
eng
Summary
In the past three decades, bifurcation theory has matured into a well-established 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 one-parameter bifurcations for operators acting in infinite-dimensional 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 theoretically-inclined 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 two-dimensional kernel with applications, the buckling of the Euler rod, the appearance of Taylor vortices, the singular limit process of the Cahn-Hilliard model, and an application of this method to more complicated nonconvex variational problems
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Kielhöfer, Hansjörg
Dewey number
515/.392
Index
index present
LC call number
QA380
LC item number
.K54 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
Applied mathematical sciences,
Series volume
v. 156
http://library.link/vocab/subjectName
  • Bifurcation theory
  • Mathematics
  • Bifurcation theory
Label
Bifurcation theory : an introduction with applications to partial differential equations, by Hansjörg Kielhöfer
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 387-394) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Global Theory -- Applications
Control code
761871013
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (vii, 398 pages).
File format
unknown
Form of item
online
Isbn
9781461405023
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
99953707720
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)761871013
Label
Bifurcation theory : an introduction with applications to partial differential equations, by Hansjörg Kielhöfer
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 387-394) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Global Theory -- Applications
Control code
761871013
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (vii, 398 pages).
File format
unknown
Form of item
online
Isbn
9781461405023
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
99953707720
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)761871013

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