ONE-PHASE RIEMANN PROBLEM AND WAVE INTERACTIONS IN SYSTEMS OF CONSERVATION-LAWS OF MIXED-TYPE

Authors
FAN H
Citation
H. Fan, ONE-PHASE RIEMANN PROBLEM AND WAVE INTERACTIONS IN SYSTEMS OF CONSERVATION-LAWS OF MIXED-TYPE, SIAM journal on mathematical analysis, 24(4), 1993, pp. 840-865
Citations number
32
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
24
Issue
4
Year of publication
1993
Pages
840 - 865
Database
ISI
SICI code
0036-1410(1993)24:4<840:ORPAWI>2.0.ZU;2-4
Abstract
The Riemann problem for any Riemann data lying outside of the elliptic region of a system of conservation laws of mixed type is established. The approach is a vanishing viscosity one. The solutions constructed are also admissible by the traveling wave criterion. The structure of the solutions is analyzed. Interactions among phase boundaries and sho cks are studied.