Attractors for infinite-dimensional non-autonomous dynamical systems:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2013
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| Schriftenreihe: | Applied mathematical sciences
182 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XXXVI, 409 S.) graph. Darst. |
| ISBN: | 9781461445814 |
| DOI: | 10.1007/978-1-4614-4581-4 |
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Datensatz im Suchindex
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|---|---|
| adam_text | ATTRACTORS FOR INFINITE-DIMENSIONAL NON-AUTONOMOUS DYNAMICAL SYSTEMS
/ CARVALHO, ALEXANDRE N.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
THE PULLBACK ATTRACTOR
EXISTENCE RESULTS FOR PULLBACK ATTRACTORS
CONTINUITY OF ATTRACTORS
FINITE-DIMENSIONAL ATTRACTORS
GRADIENT SEMIGROUPS AND THEIR DYNAMICAL PROPERTIES
SEMILINEAR DIFFERENTIAL EQUATIONS
EXPONENTIAL DICHOTOMIES
HYPERBOLIC SOLUTIONS AND THEIR STABLE AND UNSTABLE MANIFOLDS
A NON-AUTONOMOUS COMPETITIVE LOTKA-VOLTERRA SYSTEM
DELAY DIFFERENTIAL EQUATIONS.-THE NAVIER–STOKES EQUATIONS WITH
NON-AUTONOMOUS FORCING.- APPLICATIONS TO PARABOLIC PROBLEMS
A NON-AUTONOMOUS CHAFEE–INFANTE EQUATION
PERTURBATION OF DIFFUSION AND CONTINUITY OF ATTRACTORS WITH RATE
A NON-AUTONOMOUS DAMPED WAVE EQUATION
REFERENCES
INDEX.-
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ATTRACTORS FOR INFINITE-DIMENSIONAL NON-AUTONOMOUS DYNAMICAL SYSTEMS
/ CARVALHO, ALEXANDRE N.
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK TREATS THE THEORY OF PULLBACK ATTRACTORS FOR NON-AUTONOMOUS
DYNAMICAL SYSTEMS. WHILE THE EMPHASIS IS ON INFINITE-DIMENSIONAL
SYSTEMS, THE RESULTS ARE ALSO APPLIED TO A VARIETY OF FINITE-DIMENSIONAL
EXAMPLES. THE PURPOSE OF THE BOOK IS TO PROVIDE A SUMMARY OF THE
CURRENT THEORY, STARTING WITH BASIC DEFINITIONS AND PROCEEDING ALL THE
WAY TO STATE-OF-THE-ART RESULTS. AS SUCH IT IS INTENDED AS A PRIMER FOR
GRADUATE STUDENTS, AND A REFERENCE FOR MORE ESTABLISHED RESEARCHERS IN
THE FIELD. THE BASIC TOPICS ARE EXISTENCE RESULTS FOR PULLBACK
ATTRACTORS, THEIR CONTINUITY UNDER PERTURBATION, TECHNIQUES FOR SHOWING
THAT THEIR FIBRES ARE FINITE-DIMENSIONAL, AND STRUCTURAL RESULTS FOR
PULLBACK ATTRACTORS FOR SMALL NON-AUTONOMOUS PERTURBATIONS OF GRADIENT
SYSTEMS (THOSE WITH A LYAPUNOV FUNCTION). THE STRUCTURAL RESULTS STEM
FROM A DYNAMICAL CHARACTERISATION OF AUTONOMOUS GRADIENT SYSTEMS, WHICH
SHOWS IN PARTICULAR THAT SUCH SYSTEMS ARE STABLE UNDER PERTURBATION.
APPLICATION OF THE STRUCTURAL RESULTS RELIES ON THE CONTINUITY OF
UNSTABLE MANIFOLDS UNDER PERTURBATION, WHICH IN TURN IS BASED ON THE
ROBUSTNESS OF EXPONENTIAL DICHOTOMIES: A SELF-CONTAINED DEVELOPMENT OF
THESE TOPICS IS GIVEN IN FULL. AFTER PROVIDING ALL THE NECESSARY THEORY
THE BOOK TREATS A NUMBER OF MODEL PROBLEMS IN DETAIL, DEMONSTRATING THE
WIDE APPLICABILITY OF THE DEFINITIONS AND TECHNIQUES INTRODUCED: THESE
INCLUDE A SIMPLE LOTKA-VOLTERRA ORDINARY DIFFERENTIAL EQUATION, DELAY
DIFFERENTIAL EQUATIONS, THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS,
GENERAL REACTION-DIFFUSION PROBLEMS, A NON-AUTONOMOUS VERSION OF THE
CHAFEE-INFANTE PROBLEM, A COMPARISON OF ATTRACTORS IN PROBLEMS WITH
PERTURBATIONS TO THE DIFFUSION TERM, AND A NON-AUTONOMOUS DAMPED WAVE
EQUATION. ALEXANDRE N. CARVALHO IS A PROFESSOR AT THE UNIVERSITY OF SAO
PAULO, BRAZIL. JOSE A. LANGA IS A PROFESOR TITULAR AT THE UNIVERSITY OF
SEVILLE, SPAIN. JAMES C. ROBINSON IS A PROFESSOR AT THE UNIVERSITY OF
WARWICK, UK.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Carvalho, Alexandre N. Langa, José A. Robinson, James C. 1969- |
| author_GND | (DE-588)143220004 |
| author_facet | Carvalho, Alexandre N. Langa, José A. Robinson, James C. 1969- |
| author_role | aut aut aut |
| author_sort | Carvalho, Alexandre N. |
| author_variant | a n c an anc j a l ja jal j c r jc jcr |
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| dewey-full | 514.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.74 |
| dewey-search | 514.74 |
| dewey-sort | 3514.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4614-4581-4 |
| format | Electronic eBook |
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| spelling | Carvalho, Alexandre N. Verfasser aut Attractors for infinite-dimensional non-autonomous dynamical systems Alexandre N. Carvalho ; José A. Langa ; James C. Robinson New York [u.a.] Springer 2013 1 Online-Ressource (XXXVI, 409 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Applied mathematical sciences 182 Attraktor (DE-588)4140563-8 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Attraktor (DE-588)4140563-8 s Dynamisches System (DE-588)4013396-5 s DE-604 Langa, José A. Verfasser aut Robinson, James C. 1969- Verfasser (DE-588)143220004 aut Erscheint auch als Druck-Ausgabe, Hardcover 1-461-44580-9 Erscheint auch als Druck-Ausgabe, Hardcover 978-1-461-44580-7 Applied mathematical sciences 182 (DE-604)BV040244599 182 https://doi.org/10.1007/978-1-4614-4581-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025420858&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=025420858&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Carvalho, Alexandre N. Langa, José A. Robinson, James C. 1969- Attractors for infinite-dimensional non-autonomous dynamical systems Applied mathematical sciences Attraktor (DE-588)4140563-8 gnd Dynamisches System (DE-588)4013396-5 gnd |
| subject_GND | (DE-588)4140563-8 (DE-588)4013396-5 |
| title | Attractors for infinite-dimensional non-autonomous dynamical systems |
| title_auth | Attractors for infinite-dimensional non-autonomous dynamical systems |
| title_exact_search | Attractors for infinite-dimensional non-autonomous dynamical systems |
| title_full | Attractors for infinite-dimensional non-autonomous dynamical systems Alexandre N. Carvalho ; José A. Langa ; James C. Robinson |
| title_fullStr | Attractors for infinite-dimensional non-autonomous dynamical systems Alexandre N. Carvalho ; José A. Langa ; James C. Robinson |
| title_full_unstemmed | Attractors for infinite-dimensional non-autonomous dynamical systems Alexandre N. Carvalho ; José A. Langa ; James C. Robinson |
| title_short | Attractors for infinite-dimensional non-autonomous dynamical systems |
| title_sort | attractors for infinite dimensional non autonomous dynamical systems |
| topic | Attraktor (DE-588)4140563-8 gnd Dynamisches System (DE-588)4013396-5 gnd |
| topic_facet | Attraktor Dynamisches System |
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