Shock waves:
This book presents the fundamentals of the shock wave theory. The first part of the book, Chapters 1 through 5, covers the basic elements of the shock wave theory by analyzing the scalar conservation laws.The main focus of the analysis is on the explicit solution behavior. This first part of the boo...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
AMS American Mathematical Society
[2021]
|
| Schriftenreihe: | Graduate studies in mathematics
215 |
| Schlagworte: | |
| Zusammenfassung: | This book presents the fundamentals of the shock wave theory. The first part of the book, Chapters 1 through 5, covers the basic elements of the shock wave theory by analyzing the scalar conservation laws.The main focus of the analysis is on the explicit solution behavior. This first part of the book requires only a course in multi-variable calculus, and can be used as a text for an undergraduate topics course. In the second part of the book, Chapters 6 through 9, this general theory is used to study systems of hyperbolic conservation laws. This is a most significant well-posedness theory for weak solutions of quasilinear evolutionary partial differential equations. The final part of the book, Chapters 10 through 14, returns to the original subject of the shock wave theory by focusing on specific physical models. Potentially interesting questions and research directions are also raised in these chapters.The book can serve as an introductory text for advanced undergraduate students and for graduate students in mathematics, engineering, and physical sciences. Each chapter ends with suggestions for further reading and exercises for students |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | xviii, 437 Seiten Illustrationen, Diagramme |
| ISBN: | 9781470466251 9781470465674 |
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| 490 | 1 | |a Graduate studies in mathematics |v 215 | |
| 500 | |a Description based on publisher supplied metadata and other sources | ||
| 520 | 3 | |a This book presents the fundamentals of the shock wave theory. The first part of the book, Chapters 1 through 5, covers the basic elements of the shock wave theory by analyzing the scalar conservation laws.The main focus of the analysis is on the explicit solution behavior. This first part of the book requires only a course in multi-variable calculus, and can be used as a text for an undergraduate topics course. In the second part of the book, Chapters 6 through 9, this general theory is used to study systems of hyperbolic conservation laws. This is a most significant well-posedness theory for weak solutions of quasilinear evolutionary partial differential equations. The final part of the book, Chapters 10 through 14, returns to the original subject of the shock wave theory by focusing on specific physical models. Potentially interesting questions and research directions are also raised in these chapters.The book can serve as an introductory text for advanced undergraduate students and for graduate students in mathematics, engineering, and physical sciences. Each chapter ends with suggestions for further reading and exercises for students | |
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| index_date | 2024-07-03T18:25:57Z |
| indexdate | 2024-07-20T04:08:10Z |
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| isbn | 9781470466251 9781470465674 |
| language | English |
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| spelling | Liu, Tai-Ping 1945- Verfasser (DE-588)172228646 aut Shock waves Tai-Ping Liu Providence, Rhode Island AMS American Mathematical Society [2021] xviii, 437 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics 215 Description based on publisher supplied metadata and other sources This book presents the fundamentals of the shock wave theory. The first part of the book, Chapters 1 through 5, covers the basic elements of the shock wave theory by analyzing the scalar conservation laws.The main focus of the analysis is on the explicit solution behavior. This first part of the book requires only a course in multi-variable calculus, and can be used as a text for an undergraduate topics course. In the second part of the book, Chapters 6 through 9, this general theory is used to study systems of hyperbolic conservation laws. This is a most significant well-posedness theory for weak solutions of quasilinear evolutionary partial differential equations. The final part of the book, Chapters 10 through 14, returns to the original subject of the shock wave theory by focusing on specific physical models. Potentially interesting questions and research directions are also raised in these chapters.The book can serve as an introductory text for advanced undergraduate students and for graduate students in mathematics, engineering, and physical sciences. Each chapter ends with suggestions for further reading and exercises for students Stoßwelle (DE-588)4057760-0 gnd rswk-swf Electronic books Stoßwelle (DE-588)4057760-0 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-6624-4 Graduate studies in mathematics 215 (DE-604)BV009739289 215 |
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| title | Shock waves |
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