FAST REACTION LIMIT OF REACTION-DIFFUSION SYSTEMS

被引：3

作者：

Murakawa, Hideki ^{[1
]}

机构：

[1] Ryukoku Univ, Fac Adv Sci & Technol, 1-5 Yokotani, Otsu, Shiga 5202194, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 03期

关键词：

Reaction-diffusion system; fast reaction limit; singular limit; nonlinear diffusion problem; degenerate parabolic equation; L-p convergence; CROSS-DIFFUSION; SPATIAL SEGREGATION; LINEAR SCHEME; APPROXIMATION; PRECIPITATION; DISSOLUTION;

D O I：

10.3934/dcdss.2020405

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1047 / 1062

页数：16

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