Singular limit problems of reaction-diffusion systems have been studied in cases where the effects of the reaction terms are very large compared with those of the other terms. Such problems appear in literature in various fields such as chemistry, ecology, biology, geology and approximation theory. In this paper, we deal with the singular limit of a general reaction-diffusion system including many problems in the literature. We formulate the problem, derive the limit equation and establish a rigorous mathematical theory.

中文翻译：

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反应扩散系统的快速反应极限

在反应项的影响与其他项相比非常大的情况下，已经研究了反应扩散系统的奇异极限问题。这些问题出现在化学，生态学，生物学，地质学和近似理论等各个领域的文献中。在本文中，我们处理了一般反应扩散系统的奇异极限，其中包括许多文献中的问题。我们制定问题，导出极限方程并建立严格的数学理论。