Travelling fronts for multidimensional nonlinear transport equations

Abstract

We consider a nonlinear transport equation as a hyperbolic generalisation of the well-known reaction diiusion equation. We show the existence of strictly monotone travelling fronts for the three main types of the nonlinearity: the positive source term, the combustion law, and the bistable case. In the rst case there is a whole interval of possible speeds… (More)

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