Bounds on the speed of propagation of the KPP fronts in a cellular flow
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چکیده
We consider a reaction-diffusion-advection equation with a nonlinearity of the KPP type in a cellular flow. We show that the minimal pulsating traveling front speed c∗(A) in a flow of amplitude A satisfies the upper and lower bounds C1A ≤ c∗(A) ≤ C2A for A 1. We also analyze a related eigenvalue problem and establish an “averaging along the streamlines” principle for the positive eigenfunction when A 1.
منابع مشابه
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تاریخ انتشار 2004