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Bounds on the speed of propagation of the KPP fronts in a cellular flow
propagation KPP fronts cellular flow
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2015/7/14
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 ofamplitude A...
Non-adiabatic KPP fronts with an arbitrary Lewis number
Non-adiabatic KPP arbitrary Lewis number
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2015/7/14
We establish existence of travelling fronts in thermo-diffusive systems of the KPP type in a shear flow with an arbitrary Lewis number and a positive heat-loss at the boundary. We then prove that the ...
The logarithmic delay of KPP fronts in a periodic medium
logarithmic delay KPP fronts periodic medium
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2015/7/14
We consider solutions of the KPP-type equations with a periodically varying reaction rate, and compactly supported initial data. It has been shown by Bramson [5, 6] in the case of the constant reactio...