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Delta and singular delta locus for one-dimensional systems of conservation laws

✍ Scribed by Marko Nedeljkov

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
200 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This work gives a condition for existence of singular and delta shock wave solutions to Riemann problem for 2Γ—2 systems of conservation laws. For a fixed left‐hand side value of Riemann data, the condition obtained in the paper describes a set of possible right‐hand side values. The procedure is similar to the standard one of finding the Hugoniot locus. Fluxes of the considered systems are globally Lipschitz with respect to one of the dependent variables. The association in a Colombeau‐type algebra is used as a solution concept. Copyright Β© 2004 John Wiley &Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

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Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process
✍ D. Mitrovic; V. Bojkovic; V. G. Danilov πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 304 KB πŸ‘ 1 views

## Abstract Using the weak asymptotic method, we approximate a triangular system of conservation laws arising from the so‐called generalized pressureless gas dynamics by a diagonal linear system. Then, we apply the usual method of characteristics to find approximate solution to the original system.