A viscosity approximation to a system of conservation laws with no classical Riemann solution
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.
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- A viscosity approximation to a system of conservation laws with no classical Riemann solution
- Book Title
- Nonlinear Hyperbolic Problems
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- Proceedings of an Advanced Research Workshop held in Bordeaux, France, June 13–17, 1988
- pp 185-197
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- Lecture Notes in Mathematics
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- Springer Berlin Heidelberg
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