Holdings: Spectral and dynamical stability of nonlinear waves

Spectral and dynamical stability of nonlinear waves:

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Bibliographic Details
Main Authors:	Kapitula, Todd (Author), Promislow, Keith (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Springer 2013
Series:	Applied mathematical sciences 185
Subjects:	Nichtlineare Welle Stabilität
Online Access:	BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781461469940 9781461469957
DOI:	10.1007/978-1-4614-6995-7

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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.
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author	Kapitula, Todd Promislow, Keith
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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
volume_link	(DE-604)BV040244599
work_keys_str_mv	AT kapitulatodd spectralanddynamicalstabilityofnonlinearwaves AT promislowkeith spectralanddynamicalstabilityofnonlinearwaves

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