Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schriftenreihe: | Springer theses
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642336959 9783642336966 |
| DOI: | 10.1007/978-3-642-33696-6 |
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Datensatz im Suchindex
| _version_ | 1804150111058526208 |
|---|---|
| adam_text | FREE BOUNDARY PROBLEMS AND ASYMPTOTIC BEHAVIOR OF SINGULARLY PERTURBED
PARTIAL DIFFERENTIAL EQUATIONS
/ WANG, KELEI
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FOREWORD
ACKNOWLEDGEMENTS
INTRODUCTION
UNIQUENESS, STABILITY AND UNIFORM LIPSCHITZ ESTIMATES
UNIQUENESS IN THE SINGULAR LIMIT
THE DYNAMICS OF ONE DIMENSIONAL
SINGULARLIMITINGPROBLEM.-APPROXIMATE
CLEANUPLEMMA.-ASYMPTOTICS IN STRONG COMPETITION
THE LIMITED EQUATION OF A SINGULAR PERTURBED SYSTEM
REFERENCE
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FREE BOUNDARY PROBLEMS AND ASYMPTOTIC BEHAVIOR OF SINGULARLY PERTURBED
PARTIAL DIFFERENTIAL EQUATIONS
/ WANG, KELEI
: 2013
ABSTRACT / INHALTSTEXT
IN BOSE-EINSTEIN CONDENSATES FROM PHYSICS AND COMPETING SPECIES SYSTEM
FROM POPULATION DYNAMICS, IT IS OBSERVED THAT DIFFERENT CONDENSATES (OR
SPECIES) TEND TO BE SEPARATED. THIS IS KNOWN AS THE PHASE SEPARATION
PHENOMENA. THESE POSE A NEW CLASS OF FREE BOUNDARY PROBLEMS OF NONLINEAR
PARTIAL DIFFERENTIAL EQUATIONS. BESIDES ITS GREAT DIFFICULTY IN
MATHEMATICS, THE STUDY OF THIS PROBLEM WILL HELP US GET A BETTER
UNDERSTANDING OF THE PHASE SEPARATION PHENOMENA. THIS THESIS IS DEVOTED
TO THE STUDY OF THE ASYMPTOTIC BEHAVIOR OF SINGULARLY PERTURBED PARTIAL
DIFFERENTIAL EQUATIONS AND SOME RELATED FREE BOUNDARY PROBLEMS ARISING
FROM BOSE-EINSTEIN CONDENSATION THEORY AND COMPETING SPECIES MODEL. WE
STUDY THE FREE BOUNDARY PROBLEMS IN THE SINGULAR LIMIT AND GIVE SOME
CHARACTERIZATIONS, AND USE THIS TO STUDY THE DYNAMICAL BEHAVIOR OF
COMPETING SPECIES WHEN THE COMPETITION IS STRONG. THESE RESULTS HAVE
MANY APPLICATIONS IN PHYSICS AND BIOLOGY. IT WAS NOMINATED BY THE
GRADUATE UNIVERSITY OF CHINESE ACADEMY OF SCIENCES AS AN OUTSTANDING PHD
THESIS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Wang, Kelei |
| author_facet | Wang, Kelei |
| author_role | aut |
| author_sort | Wang, Kelei |
| author_variant | k w kw |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-33696-6 |
| format | Electronic eBook |
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| spelling | Wang, Kelei Verfasser aut Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations Kelei Wang Berlin [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer theses Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd rswk-swf Freies Randwertproblem (DE-588)4155303-2 gnd rswk-swf Singuläre Störung (DE-588)4055100-3 gnd rswk-swf System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content System von partiellen Differentialgleichungen (DE-588)4116672-3 s Singuläre Störung (DE-588)4055100-3 s Freies Randwertproblem (DE-588)4155303-2 s Asymptotisches Lösungsverhalten (DE-588)4134367-0 s DE-604 https://doi.org/10.1007/978-3-642-33696-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025756689&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=025756689&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wang, Kelei Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd Freies Randwertproblem (DE-588)4155303-2 gnd Singuläre Störung (DE-588)4055100-3 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd |
| subject_GND | (DE-588)4134367-0 (DE-588)4155303-2 (DE-588)4055100-3 (DE-588)4116672-3 (DE-588)4113937-9 |
| title | Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations |
| title_auth | Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations |
| title_exact_search | Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations |
| title_full | Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations Kelei Wang |
| title_fullStr | Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations Kelei Wang |
| title_full_unstemmed | Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations Kelei Wang |
| title_short | Free boundary problems and asymptotic behavior of singularly perturbed partial differential equations |
| title_sort | free boundary problems and asymptotic behavior of singularly perturbed partial differential equations |
| topic | Asymptotisches Lösungsverhalten (DE-588)4134367-0 gnd Freies Randwertproblem (DE-588)4155303-2 gnd Singuläre Störung (DE-588)4055100-3 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd |
| topic_facet | Asymptotisches Lösungsverhalten Freies Randwertproblem Singuläre Störung System von partiellen Differentialgleichungen Hochschulschrift |
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| work_keys_str_mv | AT wangkelei freeboundaryproblemsandasymptoticbehaviorofsingularlyperturbedpartialdifferentialequations |