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Excerpt from Hyperbolic Systems of Conservation Laws in Several Space Variables
In Section 1 we show how to associate to each analytic function f of one variable a complex conservation law. When written in terms of real variables, this equation turns into a symmetric hyperbolic system of two first order conservation laws in time and two space variables for two unknowns. The hope is that the theory of analytic functions can be exploited to study the properties of the solutions of these model equations.
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- VerlagForgotten Books
- Erscheinungsdatum2018
- ISBN 10 1333447434
- ISBN 13 9781333447434
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten30
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Hyperbolic Systems of Conservation Laws in Several Space Variables (Classic Reprint)
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Hyperbolic Systems of Conservation Laws in Several Space Variables (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333447434
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Hyperbolic Systems of Conservation Laws in Several Space Variables
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Paperback. Zustand: New. Print on Demand. This book delves into the fascinating world of hyperbolic systems of conservation laws, a fundamental concept in the study of partial differential equations. The author explores the behavior of these systems, which describe how quantities like mass, momentum, and energy are conserved over time and space. This exploration goes beyond simple linear equations, delving into the complexities of nonlinear systems. The book introduces the concept of "genuine nonlinearity" as a crucial aspect of understanding how these systems behave and how they can give rise to phenomena like shock waves. The author then dives into the nuances of hyperbolic systems in multiple space dimensions, exploring the limitations of traditional methods for analyzing these systems. Through a series of proofs and arguments, the book lays out the challenges and possibilities of working with these complex mathematical structures. Ultimately, this book offers a rigorous and insightful exploration of a crucial field of mathematics, providing a valuable resource for researchers and students alike. By illuminating the challenges and limitations of analyzing hyperbolic systems, the author highlights the importance of seeking new approaches and solutions for understanding the behavior of these complex systems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333447434_0
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