Quasilinear hyperbolic systems and waves:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Pitman
1976
|
| Series: | Research notes in mathematics
5 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 230 S. Ill., graph. Darst. |
| ISBN: | 0273001027 |
Staff View
MARC
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| 100 | 1 | |a Jeffrey, Alan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quasilinear hyperbolic systems and waves |c A. Jeffrey |
| 264 | 1 | |a London [u.a.] |b Pitman |c 1976 | |
| 300 | |a 230 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Research notes in mathematics |v 5 | |
| 650 | 4 | |a Ondulations, Théorie des | |
| 650 | 4 | |a Équations différentielles hyperboliques | |
| 650 | 4 | |a Differential equations, Hyperbolic | |
| 650 | 4 | |a Wave-motion, Theory of | |
| 650 | 0 | 7 | |a Wellengleichung |0 (DE-588)4065315-8 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Wellenausbreitung |0 (DE-588)4121912-0 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804117094905675776 |
|---|---|
| adam_text | Contents
1 Nonlinear Equations and Quasilinear Systems
1 1 Waves and Wave Propagation 1
1 2 First Order Quasilinear Systems and Higher Order
Equations 5
1 3 Matrix Formulation of Systems 9
1 4 Characteristics and the Cauchy Problem for a General
Nonlinear First Order Equation 15
1 5 The Eikonal Equation 24
1 6 The Scalar Quasilinear First Order Equation with
Two Independent Variables 29
1 7 Uniqueness of Solutions 37
1 8 Well-Posed Problems 40
2 Hyperbolic Systems and Characteristics
2 1 Hyperbolicity and First Order Quasilinear Systems 42
2 2 The Classification of Some Special Systems 49
2 3 Invariance of Characteristic Manifolds Under a
Change of Coordinates 57
2 4 Characteristic Manifolds As Transporters of
Discontinuities of Derivatives 58
2 5 Characteristic Fields of First Order Quasilinear
Hyperbolic Systems in One Space Dimension and Time 62
2 6 Initial Value Problems and Mixed Initial and
Boundary Value Problems 67
2 7 Examples of Characteristics, Initial and Boundary
Value Problems 75
2 8 Waves Adjacent to a Constant Solution - Characteristic
Equations 78
3 Riemann Invariants and Simple Waves
3 1 Riemann Invariants 81
3 2 Simple Waves 90
3 3 Generalised Simple Waves 94
3 4 Exceptional Condition and Genuine Nonlinearity
3 5 Evolution of Discontinuities in Solutions from
Arbitrary Initial Data
3 6 Gas Motion in a Closed Tube
3 7 Unboundedness of Solutions
4 Shock Waves
4 1 Conservation Systems and Conditions Across a Shock
4 2 Conservation Equations and Shocks in Fluid Dynamics
4 3 Weak Solutions and Non-uniqueness
4 4 Conservation Equations with a Convex Extension
4 5 Evolutionary Condition for Shocks in Hyperbolic
Systems of Conservation Type
4 6 Connection of Solutions by k-Shocks
5 Development of Shocks from Lipschitz Continuous Data
5 1 cn Discontinuities and Wavefront Propagation in One
Space Dimension and Time
5 2 Conservation System with Discontinuous Coefficients
5 3 Change of Coordinates and Jump Conditions
5 4 Transport Equations for C Discontinuities
5 5 Conditions Across the Shock Line
5 6 Formation of Shock on the Wavefront
5 7 Special Cases
5 8 Bifurcation of Wavefront
5 9 Wavefront Propagation in IR3 X t
5 10 C1 Wavefront Propagation in Shallow Water
5-u rP;°™rc2 waves -
REFERENCES
INDEX
|
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| author | Jeffrey, Alan |
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| building | Verbundindex |
| bvnumber | BV002741985 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 540 |
| ctrlnum | (OCoLC)2895972 (DE-599)BVBBV002741985 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002741985 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:48:57Z |
| institution | BVB |
| isbn | 0273001027 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001753162 |
| oclc_num | 2895972 |
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| physical | 230 S. Ill., graph. Darst. |
| psigel | TUB-nvmb |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Pitman |
| record_format | marc |
| series | Research notes in mathematics |
| series2 | Research notes in mathematics |
| spelling | Jeffrey, Alan Verfasser aut Quasilinear hyperbolic systems and waves A. Jeffrey London [u.a.] Pitman 1976 230 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Research notes in mathematics 5 Ondulations, Théorie des Équations différentielles hyperboliques Differential equations, Hyperbolic Wave-motion, Theory of Wellengleichung (DE-588)4065315-8 gnd rswk-swf Quasilineares hyperbolisches System (DE-588)4373367-0 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 s Wellenausbreitung (DE-588)4121912-0 s DE-604 Quasilineares hyperbolisches System (DE-588)4373367-0 s Wellengleichung (DE-588)4065315-8 s Research notes in mathematics 5 (DE-604)BV000000039 5 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753162&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jeffrey, Alan Quasilinear hyperbolic systems and waves Research notes in mathematics Ondulations, Théorie des Équations différentielles hyperboliques Differential equations, Hyperbolic Wave-motion, Theory of Wellengleichung (DE-588)4065315-8 gnd Quasilineares hyperbolisches System (DE-588)4373367-0 gnd Wellenausbreitung (DE-588)4121912-0 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd |
| subject_GND | (DE-588)4065315-8 (DE-588)4373367-0 (DE-588)4121912-0 (DE-588)4131213-2 |
| title | Quasilinear hyperbolic systems and waves |
| title_auth | Quasilinear hyperbolic systems and waves |
| title_exact_search | Quasilinear hyperbolic systems and waves |
| title_full | Quasilinear hyperbolic systems and waves A. Jeffrey |
| title_fullStr | Quasilinear hyperbolic systems and waves A. Jeffrey |
| title_full_unstemmed | Quasilinear hyperbolic systems and waves A. Jeffrey |
| title_short | Quasilinear hyperbolic systems and waves |
| title_sort | quasilinear hyperbolic systems and waves |
| topic | Ondulations, Théorie des Équations différentielles hyperboliques Differential equations, Hyperbolic Wave-motion, Theory of Wellengleichung (DE-588)4065315-8 gnd Quasilineares hyperbolisches System (DE-588)4373367-0 gnd Wellenausbreitung (DE-588)4121912-0 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd |
| topic_facet | Ondulations, Théorie des Équations différentielles hyperboliques Differential equations, Hyperbolic Wave-motion, Theory of Wellengleichung Quasilineares hyperbolisches System Wellenausbreitung Hyperbolische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753162&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000039 |
| work_keys_str_mv | AT jeffreyalan quasilinearhyperbolicsystemsandwaves |