A DIFFUSION EQUATION WITH LOCALIZED CHEMICAL-REACTIONS

被引：26

作者：

CHADAM, JM

YIN, HM

机构：

[1] MCMASTER UNIV,DEPT MATH,HAMILTON L8S 4K1,ONTARIO,CANADA

[2] UNIV TORONTO,DEPT MATH,TORONTO M5S 1A1,ONTARIO,CANADA

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1994年 / 37卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1017/S0013091500018721

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In some chemical reaction-diffusion processes, the reaction takes place only at some local sites, due to the presence of a catalyst. In this paper we study the well-posedness of a model problem of this type. Sufficient conditions are found to ensure global existence and finite time blowup. The blowup rate and the blowup set are also investigated in the case of special nonlinearity.

引用

页码：101 / 118

页数：18

共 17 条

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[2]

Aronson D.G., 1968, ANN SCUOLA NORM-SCI, V3, P607

[3]

BEBERNES J, 1989, MATH PROBLEMS COMBUS, V83

[4]

BIMPONGB.K, 1974, J CHEM PHYS, V60, P3124, DOI 10.1063/1.1681498