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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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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1333447434
- ISBN 13 9781333447434
- BindingPaperback
- LanguageEnglish
- Number of pages29
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Hyperbolic Systems of Conservation Laws in Several Space Variables
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: 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. Seller Inventory # 9781333447434_0
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Hyperbolic Systems of Conservation Laws in Several Space Variables (Classic Reprint)
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333447434
Quantity: 15 available
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Hyperbolic Systems of Conservation Laws in Several Space Variables (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333447434
Quantity: 15 available