标题： 快速反应极限下稳定界面的形成 显示英文标题

标题： Formation of stationary interfaces in the fast reaction limit

摘要： 我们研究了一个两组分反应扩散系统，其中一个反应项变得奇异大。假设初始数据是非负且相互分离的，我们证明解在非反应区域收敛到热方程的解，而在其他地方仍为零。分析基于显式构造的屏障函数和适应于具有不对称反应项系统的比较论证，这些共同提供了在界面附近的控制。结果表明，极限行为表现出由反应组分初始支撑决定的稳态相界面。 显示英文摘要

摘要： We study a two-component reaction-diffusion system in which one of the reaction terms becomes singularly large. Assuming that the initial data are nonnegative and mutually segregated, we prove that the solution converges to that of the heat equation in the nonreactive region, while it remains zero elsewhere. The analysis is based on explicitly constructed barrier functions and a comparison argument adapted to systems with asymmetric reaction terms, which together provide control near the interface. As a result, the limiting behavior exhibits a stationary phase interface determined by the initial support of the reactive component.