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Systems of Conservation Laws: Two-Dimensional Riemann Problems by Yuxi Zheng (Hardcover, 2001)

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Product Information

This work is based on the lecture notes of the course M742: Topics in Partial Dif- ferential Equations, which I taught in the Spring semester of 1997 at Indiana Univer- sity. My main intention in this course was to give a concise introduction to solving two-dimensional compressibleEuler equations with Riemann data, which are special Cauchy data. This book covers new theoretical developments in the field over the past decade or so. Necessary knowledge of one-dimensional Riemann problems is reviewed and some popularnumerical schemes are presented. Multi-dimensional conservation laws are more physical and the time has come to study them. The theory onbasicone-dimensional conservation laws isfairly complete providing solid foundation for multi-dimensional problems. The rich theory on ellip- tic and parabolic partial differential equations has great potential in applications to multi-dimensional conservation laws. And faster computers make itpossible to reveal numerically more details for theoretical pursuitin multi-dimensional problems. Overview and highlights Chapter 1is an overview ofthe issues that concern us inthisbook. It lists theEulersystemandrelatedmodelssuch as theunsteady transonic small disturbance, pressure-gradient, and pressureless systems. Itdescribes Mach re- flection and the von Neumann paradox. In Chapters 2-4, which form Part I of the book, we briefly present the theory of one-dimensional conservation laws, which in- cludes solutions to the Riemann problems for the Euler system and general strictly hyperbolic and genuinely nonlinearsystems, Glimm's scheme, and large-time asymp- toties.

Product Identifiers

Publisher
Birkhauser Boston Inc
ISBN-13
9780817640804
eBay Product ID (ePID)
104782816

Product Key Features

Author
Yuxi Zheng
Publication Name
Systems of Conservation Laws: Two-Dimensional Riemann Problems
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2001
Type
Textbook
Number of Pages
320 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
38
Item Weight
1450g

Additional Product Features

Title_Author
Yuxi Zheng
Series Title
Progress in Nonlinear Differential Equations and Their Applications
Country/Region of Manufacture
United States

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Systems of Conservation Laws: Two-Dimensional Riemann Problems by Yuxi Zheng (Hardcover, 2001)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

1871-2021 History Debunked: How Wars and the Scapegoat for Zionism Were Created by Rowald Holt (Paperback, 2020)

Doug Stone's Gold Atlas of Victoria by Douglas M. Stone (Spiral Bound, 2011)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

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