Synopsis
Excerpt from Decay of Solutions of Systems of Hyperbolic Conservation Laws
In this section we carry out rigorously the idea alluded to at the end of the preface: we obtain a lower bound for the.
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About the Author
Peter D. Lax, PhD, is Professor Emeritus of Mathematics at the Courant Institute of Mathematical Sciences at New York University. Dr. Lax is the recipient of the Abel Prize for 2005 "for his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions." * A student and then colleague of Richard Courant, Fritz John, and K. O. Friedrichs, he is considered one of the world's leading mathematicians. He has had a long and distinguished career in pure and applied mathematics, and with over fifty years of experience in the field, he has made significant contributions to various areas of research, including integratable systems, fluid dynamics, and solitonic physics, as well as mathematical and scientific computing.
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Decay of Solutions of Systems of Hyperbolic Conservation Laws (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book challenges conventions of hyperbolic conservation laws with a focus on systems of two partial differential equations. It explores key concepts such as the characteristic curves and shock waves found within these nonlinear equations. The author presents the theory, developed by Glimm and Lax, with a careful balance of mathematical detail and intuitive understanding. The book offers a detailed analysis of interactions between characteristics and shock waves using the newly established Glimm scheme. Through this scheme, the author proves that solutions with arbitrarily small initial data exist, disproving the previously held belief that only large data values could yield meaningful solutions. The ideas and insights presented in this book have significantly contributed to our understanding of nonlinear conservation laws 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 # 9781332118809_0
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Decay of Solutions of Systems of Hyperbolic Conservation Laws Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332118809
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Decay of Solutions of Systems of Hyperbolic Conservation Laws Classic Reprint
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