快反应极限界面消失

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-02-13 DOI:10.1016/j.nonrwa.2025.104333

Yuki Tsukamoto

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引用次数: 0

摘要

我们研究奇异极限问题，即快速反应极限问题。在双组分体系中使用相同的反应项时，这个问题已经得到了广泛的研究。然而，溶液在不同反应项下的行为尚不清楚。在本文中，我们将考虑用幂项表示反应项的问题。当反应项适当时，证明初始界面立即消失，函数收敛于满足热方程的解。

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Interface disappearance in fast reaction limit

We study the singular limit problem referred to as the fast reaction limit. This problem has been extensively studied when the same reaction term is used in a two-component system. However, the behavior of the solution under different reaction terms remains not yet well understood. In this paper, we will consider the problem where the reaction term is represented by a power term. When the reaction term is appropriate, we prove that the initial interface disappears immediately, and the function converges to a solution that satisfies the heat equation.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.