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Volume 1402 of the series Lecture Notes in Mathematics pp 185197
Date:
A viscosity approximation to a system of conservation laws with no classical Riemann solution
 Barbara Lee KeyfitzAffiliated withDepartment of Mathematics, University of Houston
 , Herbert C. KranzerAffiliated withDepartment of Mathematics, Adelphi University
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.
 Title
 A viscosity approximation to a system of conservation laws with no classical Riemann solution
 Book Title
 Nonlinear Hyperbolic Problems
 Book Subtitle
 Proceedings of an Advanced Research Workshop held in Bordeaux, France, June 13–17, 1988
 Pages
 pp 185197
 Copyright
 1989
 DOI
 10.1007/BFb0083875
 Print ISBN
 9783540517467
 Online ISBN
 9783540468004
 Series Title
 Lecture Notes in Mathematics
 Series Volume
 1402
 Series ISSN
 00758434
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag
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 Editors
 Authors

 Barbara Lee Keyfitz ^{(1)}
 Herbert C. Kranzer ^{(2)}
 Author Affiliations

 1. Department of Mathematics, University of Houston, 77004, Houston, Texas
 2. Department of Mathematics, Adelphi University, 11530, Garden City, New York
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