Ray methods for nonlinear waves in fluids and plasmas:
Saved in:
| Format: | Book |
|---|---|
| Language: | Undetermined |
| Published: |
Harlow u.a.
Longman Scientific & Technical
1993
|
| Edition: | 1. publ. |
| Series: | Pitman monographs and surveys in pure and applied mathematics
57 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 243 S. |
| ISBN: | 0582023432 |
Staff View
MARC
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| 245 | 1 | 0 | |a Ray methods for nonlinear waves in fluids and plasmas |c A. M. Anile ... |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
INTRODUCTION 1
CHAPTER 1 PHYSICAL FRAMEWORK 3
1 Introductory concepts 3
2 Irreversible thermodynamics 8
3 The equations of magnetofluid dynamics 10
4 The plasma model 12
CHAPTER 2 INTRODUCTORY CONCEPTS FOR WAVE MOTIONS 18
1 The kinematic wave equation and the shock fitting 19
2 Basic properties of asymptotic expansions 29
3 The perturbation reduction method 36
CHAPTER 3 RAY METHODS FOR LINEAR WAVES 44
1 Phase and group velocity of a wave train 45
2 Two timing methods 49
CHAPTER 4 RAY METHODS FOR NONLINEAR HYPERBOLIC WAVES 57
1 Asymptotic waves for quasilinear systems 58
2 Acoustic waves in a gravitational atmosphere 62
CHAPTER 5 RAY METHOD FOR THE PROPAGATION OF DISCONTINUITIES . . 68
1 General formalism 69
2 The evolution of weak discontinuities 71
3 Characteristic shocks 74
4 Intermediate discontinuities 75
CHAPTER 6 GENERALIZED WAVEFRONT EXPANSION FOR WEAK SHOCKS . . 78
1 Derivation of the basic equations 79
2 Geometrical interpretation and applications to acoustic
shocks in a constant state 83
3 Relationship with weakly nonlinear geometrical optics ... 85
CHAPTER 7 SMALL TIME ANALYSIS AND SHOCK STABILITY 89
1 One dimensional analysis 90
2 Multidimensional case 94
3 Propagation into a constant state and
definition of corrugation stability 97
4 Application to gasdynamics 99
CONTENTS
CHAPTER 8 RAY METHODS FOR NONLINEAR DISPERSIVE WAVES 104
1 Perturbation reduction methods in several dimensions:
derivation of the generalized Kdv or Burgers equations . . 104
2 Solutions of the generalized KdV equation 109
3 Applications to plasmas 110
4 Derivation of the generalized KP
equation: application to plasmas 113
5 Derivation of the generalized nonlinear
Schrodinger equation 117
6 Derivation of the KP equation for magnetosonic waves . . . 123
CHAPTER 9 RAY METHODS FOR NONLINEAR DISSIPATIVE WAVES 132
1 The generalized Burgers equation 132
2 Acoustic waves in a thermoviscous fluid 133
3 Two dimensional Burgers equation 136
4 Collisional plasma 137
CHAPTER 10 INTERACTION OF DISPERSIVE WAVES 141
1 The tri resonance condition 141
2 Quadratically nonlinear interaction of dispersive waves . . . 146
3 A long wave equation 156
4 Internal waves 161
5 Passage through resonance 171
CHAPTER 11 INTERACTION OF HYPERBOLIC WAVES 180
1 The tri resonance condition for
scale invariant wave motions 180
2 Resonant interactions of hyperbolic
waves in one space dimension 186
3 The tri resonance condition for hyperbolic waves 192
4 Resonant interaction of hyperbolic waves
in several space dimensions 197
5 Gas dynamics 200
6 Elasticity 214
Appendix A1 229
Appendix A2 235
Appendix A3 236
Appendix A4 238
Appendix A5 239
Appendix A6 241
Appendix A7 242
Subject Index 245
|
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| discipline | Physik Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV008311438 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:18:06Z |
| institution | BVB |
| isbn | 0582023432 |
| language | Undetermined |
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| physical | 243 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Longman Scientific & Technical |
| record_format | marc |
| series | Pitman monographs and surveys in pure and applied mathematics |
| series2 | Pitman monographs and surveys in pure and applied mathematics |
| spelling | Ray methods for nonlinear waves in fluids and plasmas A. M. Anile ... 1. publ. Harlow u.a. Longman Scientific & Technical 1993 243 S. txt rdacontent n rdamedia nc rdacarrier Pitman monographs and surveys in pure and applied mathematics 57 Nichtlineare Welle (DE-588)4042102-8 gnd rswk-swf Strahlengleichung (DE-588)4233683-1 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 s Wellenausbreitung (DE-588)4121912-0 s Strahlengleichung (DE-588)4233683-1 s DE-604 Anile, Angelo Marcello 1948- Sonstige (DE-588)108812871 oth Pitman monographs and surveys in pure and applied mathematics 57 (DE-604)BV000022446 57 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005490715&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ray methods for nonlinear waves in fluids and plasmas Pitman monographs and surveys in pure and applied mathematics Nichtlineare Welle (DE-588)4042102-8 gnd Strahlengleichung (DE-588)4233683-1 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| subject_GND | (DE-588)4042102-8 (DE-588)4233683-1 (DE-588)4121912-0 |
| title | Ray methods for nonlinear waves in fluids and plasmas |
| title_auth | Ray methods for nonlinear waves in fluids and plasmas |
| title_exact_search | Ray methods for nonlinear waves in fluids and plasmas |
| title_full | Ray methods for nonlinear waves in fluids and plasmas A. M. Anile ... |
| title_fullStr | Ray methods for nonlinear waves in fluids and plasmas A. M. Anile ... |
| title_full_unstemmed | Ray methods for nonlinear waves in fluids and plasmas A. M. Anile ... |
| title_short | Ray methods for nonlinear waves in fluids and plasmas |
| title_sort | ray methods for nonlinear waves in fluids and plasmas |
| topic | Nichtlineare Welle (DE-588)4042102-8 gnd Strahlengleichung (DE-588)4233683-1 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| topic_facet | Nichtlineare Welle Strahlengleichung Wellenausbreitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005490715&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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