REACTIVE-DIFFUSIVE SYSTEM WITH ARRHENIUS KINETICS - THE ROBIN PROBLEM

被引:9
作者
KAPILA, AK [1 ]
MATKOWSKY, BJ [1 ]
机构
[1] NORTHWESTERN UNIV,DEPT ENGN SCI & APPL MATH,EVANSTON,IL 60201
关键词
D O I
10.1137/0139033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a permeable catalyst pellet, the reactive-diffusive problem with first-order Arrhenius kinetics is studied. Steady solutions under Robin boundary conditions are derived for the cylindrical geometry in the limit of large activation energy. The response of the system exhibits three-fold and five-fold multiplicities as well as closed loops.
引用
收藏
页码:391 / 401
页数:11
相关论文
共 4 条
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Aris R., 1975, MATH THEORY DIFFUSIO, VI
[2]  
COHEN DS, 1973, NONLINEAR PROBLEMS P
[3]   REACTIVE-DIFFUSE SYSTEMS WITH ARRHENIUS KINETICS - MULTIPLE SOLUTIONS, IGNITION AND EXTINCTION [J].
KAPILA, AK ;
MATKOWSKY, BJ .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1979, 36 (02) :373-389
[4]   REACTIVE-DIFFUSIVE SYSTEM WITH ARRHENIUS KINETICS - PECULIARITIES OF THE SPHERICAL GEOMETRY [J].
KAPILA, AK ;
MATKOWSKY, BJ ;
VEGA, J .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1980, 38 (03) :382-401