On a reaction diffusion problem with a moving impulse on boundary

IF 0.3 Q4 STATISTICS & PROBABILITY Random Operators and Stochastic Equations Pub Date : 2024-01-11 DOI:10.1515/rose-2023-2023
Alioune Coulibaly
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引用次数: 0

Abstract

Abstract We study an asymptotic problem of a semilinear partial differential equation (PDE) with Neumann boundary condition, periodic coefficients and highly oscillating drift and nonlinear terms. Our analysis focuses on the double limiting behavior of the PDE-solution perturbed by ε (viscosity parameter) and δ (scaling coefficient) both tending to zero. To do so, we state basic properties of the large deviations principle (LDP) and we express the logarithmic asymptotic of the PDE-solution. Particularly, we provide it for the case when ε converges more quickly than δ.
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关于边界上有移动脉冲的反应扩散问题
摘要 我们研究了一个半线性偏微分方程(PDE)的渐近问题,该方程具有 Neumann 边界条件、周期系数以及高度振荡的漂移和非线性项。我们的分析重点是受到ε(粘度参数)和δ(缩放系数)扰动的 PDE 解的双重极限行为。为此,我们阐述了大偏差原理(LDP)的基本特性,并表达了 PDE 解的对数渐近线。特别是在 ε 比 δ 收敛得更快的情况下,我们提供了它。
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来源期刊
Random Operators and Stochastic Equations
Random Operators and Stochastic Equations STATISTICS & PROBABILITY-
CiteScore
0.60
自引率
25.00%
发文量
24
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