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- Publisher
- Springer Journals
- Copyright
- Copyright © 1999 by Kluwer Academic Publishers
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1023/A:1006101529302
- Publisher site
- See Article on Publisher Site
Abstract
The Riemann problem for the equations of constant pressure fluid dynamics was considered. Solutions of this problem were constructed by employing the viscosity vanishing approach. For some initial data, solutions can be viewed as bounded functions in L∞(R × R+) plus bounded linear functionals on C∞0(R× R+) with nonclassical waves as their supports. Vacuum regions appear so that uniqueness of Riemann solutions fails for some initial data.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Sep 29, 2004