Systems of Conservation Laws Two-Dimensional Riemann Problems

Bibliographic Details
Main Author: Zheng, Yuxi
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2001, 2001
Edition:1st ed. 2001
Series:Progress in Nonlinear Differential Equations and Their Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Problems
  • 1.0 Outline
  • 1.1 Some models
  • 1.2 Basic problems
  • 1.3 Some solutions
  • 1.4 von Neumann paradoxes
  • 1.5 End notes
  • I Basics in One Dimension
  • 2 One-dimensional Scalar Equations
  • 3 Riemann Problems
  • 4 Cauchy Problems
  • II Two Dimensional Theory
  • 5 A 2-D Scalar Riemann Problem
  • 6 The 2-D Riemann problem and Pseudo-Characteristics
  • 7 Axisymmetric and Self-similar Solutions
  • 8 Plausible Structures for 2-D Euler Systems
  • 9 The Pressure-Gradient Equations of the Euler Systems
  • 10 The Convective Systems of the Euler Systems
  • 11 The Two-dimensional Burgers Equations
  • III Numerical schemes
  • 12 Numerical Approaches
  • List of Symbols