ISBN: 9781333447434 - hyperbolic systems of conservation laws in several space variables (classic reprint) (3 Ergebnisse)

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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. …