Preprint 1998-010

Heteroclinic Orbits between Rotating Waves in Hyperbolic Balance Laws

Abstract: 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.

Paper:

Available as PostScript

Title:

Heteroclinic orbits between rotating waves in hyperbolic balance laws

Author(s):

Jörg Härterich, mailto:haerter@math.fu-berlin.de

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mailto:haerter@math.fu-berlin.de February 19 1998.