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GENERIC HOPF BIFURCATION FROM LINES OF EQUILIBRIA WITHOUT PARAMETERS: II. SYSTEMS OF VISCOUS HYPERBOLIC BALANCE LAWS.

Authors :
Fiedler, Bernold
Liebscher, Stefan
Source :
SIAM Journal on Mathematical Analysis. 2000, Vol. 31 Issue 6, p1396-1404. 9p. 2 Color Photographs.
Publication Year :
2000

Abstract

We investigate viscous shock profiles of the Riemann problem for systems of hyperbolic balance laws. Even strictly hyperbolic flux terms together with a nonoscillating kinetic part can lead to oscillating viscous shock profiles. They appear near a Hopf-like bifurcation point of the traveling wave equation. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*VISCOUS flow
*FLUID dynamics
*VISCOSITY
*RIEMANN-Hilbert problems
*WATER vapor transport
*BIFURCATION theory
*WAVE equation

Details

Language :
English
ISSN :
00361410
Volume :
31
Issue :
6
Database :
Academic Search Index
Journal :
SIAM Journal on Mathematical Analysis
Publication Type :
Academic Journal
Accession number :
13209038
Full Text :
https://doi.org/10.1137/S0036141098341721
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