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Dual Fronts Propagating into an Unstable State

Elmer, F.J.
Published in Nonlinearity. 1994, vol. 7, p. 1261-1276
Abstract The interface between an unstable state and a stable state usually develops a single confined front travelling with constant velocity into the unstable state. Recently, the splitting of such an interface into {em two} fronts propagating with {em different} velocities was observed numerically in a magnetic system. The intermediate state is unstable and grows linearly in time. We first establish rigorously the existence of this phenomenon, called ``dual front,'' for a class of structurally unstable one-component models. Then we use this insight to explain dual fronts for a generic two-component reaction-diffusion system, and for the magnetic system.
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ELMER, F.J., ECKMANN, Jean-Pierre, HARTSLEBEN, Gerhard. Dual Fronts Propagating into an Unstable State. In: Nonlinearity, 1994, vol. 7, p. 1261-1276. doi: 10.1088/0951-7715/7/4/011 https://archive-ouverte.unige.ch/unige:92510

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