Heteroclinic Orbits between Rotating Waves in Hyperbolic Balance Laws
We study the long-time behaviour of solutions of a scalar
conservation law with a source term.
Fan and Hale have proved the existence of a global attractor
for this type of equation which consists of equilibria,
rotating waves and heteroclinic orbits.
In this paper we prove a necessary and sufficient condition
for two rotating waves to be connected by a heteroclinic
orbit. Moreover, our geometric approach via generalized
characteristics gives some information about the location
and the strength of shocks.
- Available as PostScript
- Heteroclinic orbits between rotating waves in hyperbolic balance laws
- Jörg Härterich,
- Publishing information:
- Submitted by:
February 19 1998.
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Last modified: Fri Feb 20 08:49:28 1998