Nonlinear waves in networks:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Akad.-Verl.
1994
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | Mathematical research
80 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 171 S. graph. Darst. |
| ISBN: | 3055016408 |
Internformat
MARC
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| 100 | 1 | |a Ali Mehmeti, Felix |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonlinear waves in networks |c Felix Ali Mehmeti |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Berlin |b Akad.-Verl. |c 1994 | |
| 300 | |a 171 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
0 Introduction 9
1 Waves in a cross shaped network: the explicit solution for constant
propagation speed 19
2 Linear wave equations on networks with coefficients varying in space 35
2.1 Tools 36
2.2 Elliptic equations on networks 43
2.3 Well posedness 60
2.4 Asymptotic estimates of eigenvalues 61
2.5 Transition of wave packets through nodes: a quantum mechanical example 62
3 Time dependent and quasilinear wave equations on networks 65
3.1 Preliminaries 68
3.2 The linear, time dependent case 70
3.3 The quasilinear case 96
4 Modelling and well posedness for physical systems of several
interacting media 121
4.1 Model problems 122
4.2 The Principle of Stationary Action and Friedrichs extension 124
4.3 The interaction concept and asymptotic estimates for eigenvalues of
interaction operators 128
4.4 Applications 133
4.5 Nonlocal conditions 140
4.6 C°° elements and operators 141
4.7 Nonlinear problems 143
8 Contents
A Appendix 145
A.I Possible future physical applications: systems of transmission lines in
microelectronics 145
A.2 The vibrating cross shaped network: a method to find the explicit
solution 147
A.3 Wave propagation in an infinite quadratic network 150
A.4 Technical notes to Chapter 3 153
Bibliography 163
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:39:34Z |
| institution | BVB |
| isbn | 3055016408 |
| language | English |
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| physical | 171 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Akad.-Verl. |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Ali Mehmeti, Felix Verfasser aut Nonlinear waves in networks Felix Ali Mehmeti 1. ed. Berlin Akad.-Verl. 1994 171 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical research 80 Nets (Mathematics) Nonlinear wave equations Nichtlineare Wellengleichung (DE-588)4042104-1 gnd rswk-swf Physikalisches System (DE-588)4174610-7 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Physikalisches System (DE-588)4174610-7 s Netzwerk (DE-588)4171529-9 s Nichtlineare Wellengleichung (DE-588)4042104-1 s DE-604 Mathematical research 80 (DE-604)BV000008585 80 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006420831&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ali Mehmeti, Felix Nonlinear waves in networks Mathematical research Nets (Mathematics) Nonlinear wave equations Nichtlineare Wellengleichung (DE-588)4042104-1 gnd Physikalisches System (DE-588)4174610-7 gnd Netzwerk (DE-588)4171529-9 gnd |
| subject_GND | (DE-588)4042104-1 (DE-588)4174610-7 (DE-588)4171529-9 |
| title | Nonlinear waves in networks |
| title_auth | Nonlinear waves in networks |
| title_exact_search | Nonlinear waves in networks |
| title_full | Nonlinear waves in networks Felix Ali Mehmeti |
| title_fullStr | Nonlinear waves in networks Felix Ali Mehmeti |
| title_full_unstemmed | Nonlinear waves in networks Felix Ali Mehmeti |
| title_short | Nonlinear waves in networks |
| title_sort | nonlinear waves in networks |
| topic | Nets (Mathematics) Nonlinear wave equations Nichtlineare Wellengleichung (DE-588)4042104-1 gnd Physikalisches System (DE-588)4174610-7 gnd Netzwerk (DE-588)4171529-9 gnd |
| topic_facet | Nets (Mathematics) Nonlinear wave equations Nichtlineare Wellengleichung Physikalisches System Netzwerk |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006420831&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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