A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
1999
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Berlin, Humboldt-Univ., Diss., 1999 |
| Beschreibung: | 98 Bl. Ill. : 30 cm |
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Datensatz im Suchindex
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CONTENTS
INTRODUCTION 3
1 BIOLOGICAL AND MATHEMATICAL BACKGROUND 9
1.1 THE MODEL OF CHEMOTAXIS. 9
1.2 MATHEMATICAL PRELIMINARIES. 14
1.2.1 NOTATIONS. 14
1.2.2 PROPERTIES OF THE SENSITIVITY FUNCTIONS. 16
2 LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS 17
2.1 PROOF OF EXISTENCE AND REGULARITY. 18
2.2 PROOF OF UNIQUENESS. 31
3 A LYAPUNOV FUNCTION FOR THE SYSTEM 35
3.1 A-PRIORI-ESTIMATES. 39
3.2 SPECIFIC SENSITIVITY FUNCTIONS . 42
4 GLOBAL EXISTENCE OF SOLUTIONS 45
4.1 BOUNDED SENSITIVITY FUNCTIONS. 47
4.2 THE IDENTITY SENSITIVITY FUNCTION. 51
4.3 THE LOGARITHMIC SENSITIVITY FUNCTION. 54
4.4 STATIONARY EQUATION FOR
V WITH A GENERAL SENSITIVITY FUNCTION.68
5 ASYMPTOTIC BEHAVIOUR 73
5.1 CONVERGENCE TO A STEADY STATE. 73
5.2 TRIVIAL AND NON-TRIVIAL STEADY STATES. 78
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/958124426
A EXISTENCE THEOREM IN HIGHER DIMENSIONS 86
B A TECHNICAL LEMMA 88
B.L COROLLARY FOR FUNCTIONS IN THE ORLICZ SPACE
L*(
0).90
C REDUCTION OF A THREE-SPECIES-SYSTEM TO A TWO-SPECIES-SYSTEM 92
BIBLIOGRAPHY 95
2 |
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| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-10-09T18:13:52Z |
| institution | BVB |
| language | English |
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| publishDate | 1999 |
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| spelling | Post, Katharina 1971- Verfasser (DE-588)12164619X aut A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions von Katharina Post 1999 98 Bl. Ill. : 30 cm txt rdacontent n rdamedia nc rdacarrier Berlin, Humboldt-Univ., Diss., 1999 Chemotaxis (DE-588)4127969-4 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Reaktions-Diffusionsgleichung (DE-588)4323967-5 s Chemotaxis (DE-588)4127969-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008945548&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Post, Katharina 1971- A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions Chemotaxis (DE-588)4127969-4 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd |
| subject_GND | (DE-588)4127969-4 (DE-588)4323967-5 (DE-588)4113937-9 |
| title | A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions |
| title_auth | A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions |
| title_exact_search | A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions |
| title_full | A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions von Katharina Post |
| title_fullStr | A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions von Katharina Post |
| title_full_unstemmed | A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions von Katharina Post |
| title_short | A system of non-linear partial differential equations modeling chemotaxis with sensitivity functions |
| title_sort | a system of non linear partial differential equations modeling chemotaxis with sensitivity functions |
| topic | Chemotaxis (DE-588)4127969-4 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd |
| topic_facet | Chemotaxis Reaktions-Diffusionsgleichung Hochschulschrift |
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