KPP pulsating front speed-up by flows
نویسندگان
چکیده
منابع مشابه
KPP Pulsating Front Speed-up by Flows
We obtain a criterion for pulsating front speed-up by general periodic incompressible flows in two dimensions and in the presence of KPP nonlinearities. We achieve this by showing that the ratio of the minimal front speed and the effective diffusivity of the flow is bounded away from zero and infinity by constants independent of the flow. We also study speed-up of reaction-diffusion fronts by v...
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We study KPP pulsating front speed-up and effective diffusivity enhancement by general periodic incompressible flows. We prove the existence of and determine the limits c∗(A)/A and D(A)/A as A → ∞, where c∗(A) is the minimal front speed and D(A) the effective diffusivity.
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We consider reaction-diffusion equations with combustion-type non-linearities in two dimensions and study speed-up of their pulsating fronts by general periodic incompressible flows with a cellular structure. We show that the occurence of front speed-up in the sense limA→∞ c∗(A) = ∞, with A the amplitude of the flow and c∗(A) the (minimal) front speed, only depends on the geometry of the flow a...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2007
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2007.v5.n3.a4