Spectral and dynamical stability of nonlinear waves:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Schriftenreihe: | Applied mathematical sciences
185 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461469940 9781461469957 |
| DOI: | 10.1007/978-1-4614-6995-7 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804150652220211200 |
|---|---|
| adam_text | SPECTRAL AND DYNAMICAL STABILITY OF NONLINEAR WAVES
/ KAPITULA, TODD
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
BACKGROUND MATERIAL AND NOTATION
ESSENTIAL AND ABSOLUTE SPECTRA
DYNAMICAL IMPLICATIONS OF SPECTRA: DISSIPATIVE SYSTEMS
DYNAMICAL IMPLICATIONS OF SPECTRA: HAMILTONIAN SYSTEMS
DYNAMICAL IMPLICATIONS OF SPECTRA: HAMILTONIAN SYSTEMS
POINT SPECTRUM: REDUCTION TO FINITE-RANK EIGENVALUE PROBLEMS
POINT SPECTRUM: LINEAR HAMILTONIAN SYSTEMS
THE EVANS FUNCTION FOR BOUNDARY VALUE PROBLEMS
THE EVANS FUNCTION FOR STURM-LIOUVILLE OPERATORS ON THE REAL LINE
THE EVANS FUNCTION FOR NTH-ORDER OPERATORS ON THE REAL LINE
INDEX
REFERENCES.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SPECTRAL AND DYNAMICAL STABILITY OF NONLINEAR WAVES
/ KAPITULA, TODD
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK UNIFIES THE DYNAMICAL SYSTEMS AND FUNCTIONAL ANALYSIS
APPROACHES TO THE LINEAR AND NONLINEAR STABILITY OF WAVES. IT
SYNTHESIZES FUNDAMENTAL IDEAS OF THE PAST 20+ YEARS OF RESEARCH,
CAREFULLY BALANCING THEORY AND APPLICATION. THE BOOK ISOLATES AND
METHODICALLY DEVELOPS KEY IDEAS BY WORKING THROUGH ILLUSTRATIVE EXAMPLES
THAT ARE SUBSEQUENTLY SYNTHESIZED INTO GENERAL PRINCIPLES. MANY OF THE
SEMINAL EXAMPLES OF STABILITY THEORY, INCLUDING ORBITAL STABILITY OF THE
KDV SOLITARY WAVE, AND ASYMPTOTIC STABILITY OF VISCOUS SHOCKS FOR SCALAR
CONSERVATION LAWS, ARE TREATED IN A TEXTBOOK FASHION FOR THE FIRST TIME.
IT PRESENTS SPECTRAL THEORY FROM A DYNAMICAL SYSTEMS AND FUNCTIONAL
ANALYTIC POINT OF VIEW, INCLUDING ESSENTIAL AND ABSOLUTE SPECTRA, AND
DEVELOPS GENERAL NONLINEAR STABILITY RESULTS FOR DISSIPATIVE AND
HAMILTONIAN SYSTEMS. THE STRUCTURE OF THE LINEAR EIGENVALUE PROBLEM FOR
HAMILTONIAN SYSTEMS IS CAREFULLY DEVELOPED, INCLUDING THE KREIN
SIGNATURE AND RELATED STABILITY INDICES. THE EVANS FUNCTION FOR THE
DETECTION OF POINT SPECTRA IS CAREFULLY DEVELOPED THROUGH A SERIES OF
FRAMEWORKS OF INCREASING COMPLEXITY. APPLICATIONS OF THE EVANS FUNCTION
TO THE ORIENTATION INDEX, EDGE BIFURCATIONS, AND LARGE DOMAIN LIMITS ARE
DEVELOPED THROUGH ILLUSTRATIVE EXAMPLES. THE BOOK IS INTENDED FOR FIRST
OR SECOND YEAR GRADUATE STUDENTS IN MATHEMATICS, OR THOSE WITH
EQUIVALENT MATHEMATICAL MATURITY. IT IS HIGHLY ILLUSTRATED AND THERE ARE
MANY EXERCISES SCATTERED THROUGHOUT THE TEXT THAT HIGHLIGHT AND
EMPHASIZE THE KEY CONCEPTS. UPON COMPLETION OF THE BOOK, THE READER WILL
BE IN AN EXCELLENT POSITION TO UNDERSTAND AND CONTRIBUTE TO CURRENT
RESEARCH IN NONLINEAR STABILITY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Kapitula, Todd Promislow, Keith |
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| discipline | Physik Mathematik |
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| spelling | Kapitula, Todd Verfasser aut Spectral and dynamical stability of nonlinear waves Todd Kapitula ; Keith Promislow New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Applied mathematical sciences 185 Nichtlineare Welle (DE-588)4042102-8 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 s Stabilität (DE-588)4056693-6 s DE-604 Promislow, Keith Verfasser (DE-588)1036492397 aut Applied mathematical sciences 185 (DE-604)BV040244599 185 https://doi.org/10.1007/978-1-4614-6995-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026191677&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026191677&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Kapitula, Todd Promislow, Keith Spectral and dynamical stability of nonlinear waves Applied mathematical sciences Nichtlineare Welle (DE-588)4042102-8 gnd Stabilität (DE-588)4056693-6 gnd |
| subject_GND | (DE-588)4042102-8 (DE-588)4056693-6 |
| title | Spectral and dynamical stability of nonlinear waves |
| title_auth | Spectral and dynamical stability of nonlinear waves |
| title_exact_search | Spectral and dynamical stability of nonlinear waves |
| title_full | Spectral and dynamical stability of nonlinear waves Todd Kapitula ; Keith Promislow |
| title_fullStr | Spectral and dynamical stability of nonlinear waves Todd Kapitula ; Keith Promislow |
| title_full_unstemmed | Spectral and dynamical stability of nonlinear waves Todd Kapitula ; Keith Promislow |
| title_short | Spectral and dynamical stability of nonlinear waves |
| title_sort | spectral and dynamical stability of nonlinear waves |
| topic | Nichtlineare Welle (DE-588)4042102-8 gnd Stabilität (DE-588)4056693-6 gnd |
| topic_facet | Nichtlineare Welle Stabilität |
| url | https://doi.org/10.1007/978-1-4614-6995-7 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026191677&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026191677&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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