کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898181 1631320 2017 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fujita blow up phenomena and hair trigger effect: The role of dispersal tails
ترجمه فارسی عنوان
فوجیتا منفجر کردن پدیده ها و موثر اثر مو: نقش دم دمیدن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
We consider the nonlocal diffusion equation ∂tu=J⁎u−u+u1+p in the whole of RN. We prove that the Fujita exponent dramatically depends on the behavior of the Fourier transform of the kernel J near the origin, which is linked to the tails of J. In particular, for compactly supported or exponentially bounded kernels, the Fujita exponent is the same as that of the nonlinear Heat equation ∂tu=Δu+u1+p. On the other hand, for kernels with algebraic tails, the Fujita exponent is either of the Heat type or of some related Fractional type, depending on the finiteness of the second moment of J. As an application of the result in population dynamics models, we discuss the hair trigger effect for ∂tu=J⁎u−u+u1+p(1−u).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 34, Issue 5, September–October 2017, Pages 1309-1327
نویسندگان
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