Description: Systems of Conservation Laws : Two-Dimensional Riemann Problems, Paperback by Zheng, Yuxi, ISBN 1461266319, ISBN-13 9781461266310, Like New Used, Free shipping in the US 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 th, 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.
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Book Title: Systems of Conservation Laws : Two-Dimensional Riemann Problems
Number of Pages: Xv, 320 Pages
Language: English
Publication Name: Systems of Conservation Laws : Two-Dimensional Riemann Problems
Publisher: Birkhäuser Boston
Publication Year: 2012
Subject: Numerical Analysis, Applied, Mathematical Analysis
Item Weight: 18.4 Oz
Type: Textbook
Item Length: 9.3 in
Author: Yuxi Zheng
Subject Area: Mathematics
Series: Progress in Nonlinear Differential Equations and Their Applications Ser.
Item Width: 6.1 in
Format: Trade Paperback
