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Shock Waves Graduate Studies In Mathematics 215 Taiping Liu

  • SKU: BELL-37754228
Shock Waves Graduate Studies In Mathematics 215 Taiping Liu
$ 31.00 $ 45.00 (-31%)

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Shock Waves Graduate Studies In Mathematics 215 Taiping Liu instant download after payment.

Publisher: American Mathematical Society
File Extension: PDF
File size: 33.91 MB
Pages: 437
Author: Tai-Ping Liu
ISBN: 9781470466251, 1470466252
Language: English
Year: 2021

Product desciption

Shock Waves Graduate Studies In Mathematics 215 Taiping Liu by Tai-ping Liu 9781470466251, 1470466252 instant download after payment.

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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