Preprint 1998-010

Heteroclinic Orbits between Rotating Waves in Hyperbolic Balance Laws

Jörg Härterich

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.

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Heteroclinic orbits between rotating waves in hyperbolic balance laws
Jörg Härterich, <>
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<> February 19 1998.

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