Propagation of a curved shock and nonlinear ray theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow, Essex
Longman
1993
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
292 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 124 S. graph. Darst. |
| ISBN: | 0582072530 |
Staff View
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| 100 | 1 | |a Prasad, Phoolan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Propagation of a curved shock and nonlinear ray theory |c Phoolan Prasad |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman |c 1993 | |
| 300 | |a XII, 124 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman research notes in mathematics series |v 292 | |
| 650 | 7 | |a Ondes de choc |2 ram | |
| 650 | 7 | |a onde choc |2 inriac | |
| 650 | 7 | |a propagation onde |2 inriac | |
| 650 | 7 | |a rayonnement |2 inriac | |
| 650 | 7 | |a équation onde |2 inriac | |
| 650 | 4 | |a Shock waves | |
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Record in the Search Index
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| adam_text | Contents
Preface xi
1. Introduction to a shock wave 1
1.1 Breakdown of a genuine solution 1
1.2 Conservation law and jump condition 3
1.3 Stability consideration, entropy condition and shocks 5
1.4 Derivation of the jump conditions for a curved shock in gas dynamics 11
1.5 The persistence of a shock 17
2. Infinite system of compatibility conditions for a single conservation law
in one space dimension 21
2.1 Derivation of the infinite system of compatibility conditions 21
2.2 Propagation of a weak shock : approximate solution 24
2.3 Existence and uniqueness of the solution of the infinite system 26
2.4 A new theory of shock dynamics : analytic considerations 30
2.5 A new theory of shock dynamics : comparison of numerical results
with the exact solution 33
2.6 Conclusion 38
3. One dimensional piston problem : an application of NTSD 40
3.1 Introduction 40
3.2 Dynamical conditions of compatibility 41
3.3 Initial conditions for the piston problem 47
3.4 Numerical results and discussion 49
4. Bicharacteristic curves and shock rays 54
4.1 The wave equation 54
4.2 Shock manifold partial differential equation (SME) 60
4.3 SMEs for a system of conservation laws in multi dimensions 64
ix
4.4 Shock rays and equivalence of shock manifold equations 68
4.5 Shock manifold equation for a weak shock 73
5. Compatibility conditions on a shock manifold in multi dimensions 76
5.1 Introduction 76
5.2 Preliminary geometrical ideas for a moving curve in two space
dimensions 77
5.3 Geometrical compatibility conditions 78
5.4 Ray coordinate system 80
5.5 Kinematical compatibility conditions 82
5.6 The first set of dynamical compatibility conditions 83
5.7 The second set of dynamical compatibility conditions 86
5.8 First and second set of equations in shock ray theory 91
6. Kinematics of a nonlinear wavefront 96
6.1 Introduction 96
6.2 Some basic results for a hyperbolic system of first order equations 97
6.3 Derivation of nonlinear ray equations 100
6.4 Nonlinear ray equations in gas dynamics 103
6.5 Nonlinear ray equations in two space dimensions in
non dimensional variables 107
6.6 An alternative approach to NTSD and some results on defocusing
in the caustic region 115
References 121
v
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| any_adam_object | 1 |
| author | Prasad, Phoolan |
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| author_role | aut |
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| bvnumber | BV008401976 |
| callnumber-first | Q - Science |
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| ctrlnum | (OCoLC)25409593 (DE-599)BVBBV008401976 |
| dewey-full | 533/.293 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 533 - Pneumatics (Gas mechanics) |
| dewey-raw | 533/.293 |
| dewey-search | 533/.293 |
| dewey-sort | 3533 3293 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV008401976 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:19:09Z |
| institution | BVB |
| isbn | 0582072530 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005535718 |
| oclc_num | 25409593 |
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| physical | XII, 124 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Prasad, Phoolan Verfasser aut Propagation of a curved shock and nonlinear ray theory Phoolan Prasad 1. publ. Harlow, Essex Longman 1993 XII, 124 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 292 Ondes de choc ram onde choc inriac propagation onde inriac rayonnement inriac équation onde inriac Shock waves Wellenfront (DE-588)4189546-0 gnd rswk-swf Wellengleichung (DE-588)4065315-8 gnd rswk-swf Wellengleichung (DE-588)4065315-8 s DE-604 Wellenfront (DE-588)4189546-0 s Pitman research notes in mathematics series 292 (DE-604)BV000022845 292 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005535718&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prasad, Phoolan Propagation of a curved shock and nonlinear ray theory Pitman research notes in mathematics series Ondes de choc ram onde choc inriac propagation onde inriac rayonnement inriac équation onde inriac Shock waves Wellenfront (DE-588)4189546-0 gnd Wellengleichung (DE-588)4065315-8 gnd |
| subject_GND | (DE-588)4189546-0 (DE-588)4065315-8 |
| title | Propagation of a curved shock and nonlinear ray theory |
| title_auth | Propagation of a curved shock and nonlinear ray theory |
| title_exact_search | Propagation of a curved shock and nonlinear ray theory |
| title_full | Propagation of a curved shock and nonlinear ray theory Phoolan Prasad |
| title_fullStr | Propagation of a curved shock and nonlinear ray theory Phoolan Prasad |
| title_full_unstemmed | Propagation of a curved shock and nonlinear ray theory Phoolan Prasad |
| title_short | Propagation of a curved shock and nonlinear ray theory |
| title_sort | propagation of a curved shock and nonlinear ray theory |
| topic | Ondes de choc ram onde choc inriac propagation onde inriac rayonnement inriac équation onde inriac Shock waves Wellenfront (DE-588)4189546-0 gnd Wellengleichung (DE-588)4065315-8 gnd |
| topic_facet | Ondes de choc onde choc propagation onde rayonnement équation onde Shock waves Wellenfront Wellengleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005535718&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT prasadphoolan propagationofacurvedshockandnonlinearraytheory |