1. Scalar Hyperbolic Conservation Laws in One Dimension of Space

  1. Vincent Guinot

Published Online: 22 JAN 2010

DOI: 10.1002/9780470611265.ch1

Wave Propagation in Fluids: Models and Numerical Techniques

Wave Propagation in Fluids: Models and Numerical Techniques

How to Cite

Guinot, V. (2010) Scalar Hyperbolic Conservation Laws in One Dimension of Space, in Wave Propagation in Fluids: Models and Numerical Techniques, ISTE, London, UK. doi: 10.1002/9780470611265.ch1

Publication History

  1. Published Online: 22 JAN 2010
  2. Published Print: 1 JAN 2008

ISBN Information

Print ISBN: 9781848210363

Online ISBN: 9780470611265

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Keywords:

  • hyperbolic scalar;
  • chemical substance;
  • degradation phenomena;
  • hyperbolic conservation;
  • flux function

Summary

This chapter contains sections titled:

  • Definitions

  • Determination of the solution

  • A linear law: the advection equation

  • A convex law: the inviscid Burgers equation

  • Another convex law: the kinematic wave for free-surface hydraulics

  • A non-convex conservation law: the Buckley-Leverett equation

  • Advection with adsorption/desorption

  • Conclusions