4. Hyperbolic Systems

  1. J. David Logan

Published Online: 29 OCT 2007

DOI: 10.1002/9780470287095.ch4

An Introduction to Nonlinear Differential Equations, Second Edition

An Introduction to Nonlinear Differential Equations, Second Edition

How to Cite

Logan, J. D. (2008) Hyperbolic Systems, in An Introduction to Nonlinear Differential Equations, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470287095.ch4

Author Information

  1. Willa Cather Professor of Mathematics, University of Nebraska, Lincoln, Department of Mathematics, Lincoln, NE

Publication History

  1. Published Online: 29 OCT 2007
  2. Published Print: 28 MAR 2008

ISBN Information

Print ISBN: 9780470225950

Online ISBN: 9780470287095

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Keywords:

  • hyperbolic systems;
  • gas dynamics;
  • partial differential equations;
  • nonlinear waves;
  • Riemann method

Summary

This chapter contains sections titled:

  • Shallow-Water Waves: Gas Dynamics

  • Hyperbolic Systems and Characteristics

  • The Riemann Method

  • Hodographs and Wavefronts

  • Weakly Nonlinear Approximations