TRAVELING-WAVE SOLUTIONS OF CONVECTION-DIFFUSION SYSTEMS IN NONCONSERVATION FORM

Hyperbolic systems in nonconservation form are found in several domain s of mathematical physics, but the definitions of their shockwave solu tions rely on the definition of the product of a Heavyside-type functi on with Dirac-type distribution. For systems in nonconservation form e xtracted from a convection-diffusion system, we prove a conjecture of Le Floch. This relies on the construction of traveling-wave solutions of a second-order system.