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A viscosity approximation to a system of conservation laws with no classical Riemann solution

  • Barbara Lee Keyfitz
  • Herbert C. Kranzer
Hyperbolic P.D.E. Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1402)

Abstract

There are examples of systems of conservation laws which are strictly hyperbolic and genuinely nonlinear but for which the Riemann problem can be solved only for states which are sufficiently close together. For one such example, we introduce a particular type of artificial viscosity and show how it suggests a possible definition of "generalized" solution to the Riemann problem.

Keywords

Hyperbolic System Riemann Problem Singular Solution Artificial Viscosity Riemann Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Barbara Lee Keyfitz
    • 1
  • Herbert C. Kranzer
    • 2
  1. 1.Department of MathematicsUniversity of HoustonHouston
  2. 2.Department of MathematicsAdelphi UniversityGarden City

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