منابع مشابه
Diffusion in an annihilating environment
In this paper we study the following system of reaction-diffusion equations: ∂ /∂t = ∆ − V + λδ0, (0, x) ≡ 0, ∂V/∂t = − V, V (0, x) ≡ 1. Here (t, x) and V (t, x) are functions of time t ∈ [0,∞) and space x ∈ R. This system describes a continuum version of a model in which particles are injected at the origin at rate λ, perform independent simple symmetric random walks on Z, and are annihilated ...
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According to a theorem of S. Schumacher, for a diffusion X in an environment determined by a stable process that belongs to an appropriate class and has index a, it holds that Xt/(log t) converges in distribution as t → ∞ to a random variable having an explicit description in terms of the environment. We compute the density of this random variable in the case the stable process is spectrally on...
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15 صفحه اولAnnihilating Infectious Diseases
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2006
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2004.12.015