Classical and stochastic Laplacian growth:
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Birkhäuser Springer
2014
|
| Series: | Advances in mathematical fluid mechanics
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783319082868 9783319082875 |
| DOI: | 10.1007/978-3-319-08287-5 |
Staff View
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Record in the Search Index
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| adam_text | CLASSICAL AND STOCHASTIC LAPLACIAN GROWTH
/ GUSTAFSSON, BJOERN
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 INTRODUCTION AND BACKGROUND
2 RATIONAL AND OTHER EXPLICIT STRONG SOLUTIONS
3 WEAK SOLUTIONS AND RELATED TOPICS
4 GEOMETRIC PROPERTIES
5 CAPACITIES AND ISOPERIMETRIC INEQUALITIES
6 LAPLACIAN GROWTH AND RANDOM MATRIX THEORY
7 INTEGRABILITY AND MOMENTS
8 SHAPE EVOLUTION AND INTEGRABILITY
9 STOCHASTIC LOEWNER AND LOEWNER-KUFAREV EVOLUTION
REFERENCES
LIST OF SYMBOLS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
CLASSICAL AND STOCHASTIC LAPLACIAN GROWTH
/ GUSTAFSSON, BJOERN
: 2014
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH COVERS A MULTITUDE OF CONCEPTS, RESULTS, AND RESEARCH
TOPICS ORIGINATING FROM A CLASSICAL MOVING-BOUNDARY PROBLEM IN TWO
DIMENSIONS (IDEALIZED HELE-SHAW FLOWS, OR CLASSICAL LAPLACIAN GROWTH),
WHICH HAS STRONG CONNECTIONS TO MANY EXCITING MODERN DEVELOPMENTS IN
MATHEMATICS AND THEORETICAL PHYSICS. OF PARTICULAR INTEREST ARE THE
RELATIONS BETWEEN LAPLACIAN GROWTH AND THE INFINITE-SIZE LIMIT OF
ENSEMBLES OF RANDOM MATRICES WITH COMPLEX EIGENVALUES; INTEGRABLE
HIERARCHIES OF DIFFERENTIAL EQUATIONS AND THEIR SPECTRAL CURVES;
CLASSICAL AND STOCHASTIC LOEWNER EVOLUTION AND CRITICAL PHENOMENA IN
TWO-DIMENSIONAL STATISTICAL MODELS; WEAK SOLUTIONS OF HYPERBOLIC PARTIAL
DIFFERENTIAL EQUATIONS OF SINGULAR-PERTURBATION TYPE; AND RESOLUTION OF
SINGULARITIES FOR COMPACT RIEMANN SURFACES WITH ANTI-HOLOMORPHIC
INVOLUTION. THE BOOK ALSO PROVIDES AN ABUNDANCE OF EXACT CLASSICAL
SOLUTIONS, MANY EXPLICIT EXAMPLES OF DYNAMICS BY CONFORMAL MAPPING AS
WELL AS A SOLID FOUNDATION OF POTENTIAL THEORY. AN EXTENSIVE
BIBLIOGRAPHY COVERING OVER TWELVE DECADES OF RESULTS AND AN INTRODUCTION
RICH IN HISTORICAL AND BIOGRAPHICALDETAILS COMPLEMENT THE EIGHT MAIN
CHAPTERS OF THIS MONOGRAPH. GIVEN ITS SYSTEMATIC AND CONSISTENT NOTATION
AND BACKGROUND RESULTS, THIS BOOK PROVIDES A SELF-CONTAINED RESOURCE. IT
IS ACCESSIBLE TO A WIDE READERSHIP, FROM BEGINNER GRADUATE STUDENTS TO
RESEARCHERS FROM VARIOUS FIELDS IN NATURAL SCIENCES AND MATHEMATICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Gustafsson, Björn 1947- Teodorescu, Razvan Vasilʹev, Aleksandr 1962- |
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| author_facet | Gustafsson, Björn 1947- Teodorescu, Razvan Vasilʹev, Aleksandr 1962- |
| author_role | aut aut aut |
| author_sort | Gustafsson, Björn 1947- |
| author_variant | b g bg r t rt a v av |
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| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
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| spelling | Gustafsson, Björn 1947- Verfasser (DE-588)132267845 aut Classical and stochastic Laplacian growth Björn Gustafsson ; Razvan Teodorescu ; Alexander Vasilʹev Cham [u.a.] Birkhäuser Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Advances in mathematical fluid mechanics Electronic book text Teodorescu, Razvan Verfasser (DE-588)1062971256 aut Vasilʹev, Aleksandr 1962- Verfasser (DE-588)123850142 aut https://doi.org/10.1007/978-3-319-08287-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027656765&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=027656765&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Gustafsson, Björn 1947- Teodorescu, Razvan Vasilʹev, Aleksandr 1962- Classical and stochastic Laplacian growth |
| title | Classical and stochastic Laplacian growth |
| title_auth | Classical and stochastic Laplacian growth |
| title_exact_search | Classical and stochastic Laplacian growth |
| title_full | Classical and stochastic Laplacian growth Björn Gustafsson ; Razvan Teodorescu ; Alexander Vasilʹev |
| title_fullStr | Classical and stochastic Laplacian growth Björn Gustafsson ; Razvan Teodorescu ; Alexander Vasilʹev |
| title_full_unstemmed | Classical and stochastic Laplacian growth Björn Gustafsson ; Razvan Teodorescu ; Alexander Vasilʹev |
| title_short | Classical and stochastic Laplacian growth |
| title_sort | classical and stochastic laplacian growth |
| url | https://doi.org/10.1007/978-3-319-08287-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027656765&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=027656765&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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