On viscous limit solutions of the Riemann problem for the equations of isentropic gas dynamics in Eulerian coordinates
Journal Article
·
· Sbornik. Mathematics
- Laboratoire de Chimie des Materiaux et des Interfaces, UFR des Sciences et Techniques, Universite de Franche-Comte, Batiment C, Besancon Cedex (France)
For the problem {rho}{sub t}+({rho}u){sub x}=0, ({rho}u){sub t}+({rho}u{sup 2}+p({rho})){sub x}=0, ({rho},u)|{sub t=0,x<0}=({rho}{sub -},u{sub -}), ({rho},u)|{sub t=0,x>0}=({rho}{sub +},u{sub +}) one shows the existence and uniqueness of a solution obtainable as a limit as {epsilon} tends to zero of the bounded self-similar solutions of the regularized problem with additional viscosity term {epsilon}tu{sub xx}, {epsilon}>0, in the second equation. The structure of the solutions is described in detail, in particular, when they contain vacuum states.
- OSTI ID:
- 21208322
- Journal Information:
- Sbornik. Mathematics, Vol. 194, Issue 6; Other Information: DOI: 10.1070/SM2003v194n06ABEH000739; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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