CRITICAL INITIAL CONDITIONS FOR SPATIALLY-DISTRIBUTED THERMAL EXPLOSIONS

被引:8
作者
LACEY, AA [1 ]
WAKE, GC [1 ]
机构
[1] MASSEY UNIV,DEPT MATH,PALMERSTON NORTH,NEW ZEALAND
来源
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1992年 / 33卷
关键词
D O I
10.1017/S0334270000007086
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
The problem of finding critical initial data which separate conditions leading to blow-up from those which give solutions tending to the (stable) minimal solution is considered. New criteria for blow-up and global existence are found; these are equivalent to obtaining upper and lower bounds respectively for the set of critical initial data.
引用
收藏
页码:350 / 362
页数:13
相关论文
共 15 条
[2]
COMPLETE BLOW-UP AFTER TMAX FOR THE SOLUTION OF A SEMILINEAR HEAT-EQUATION [J].
BARAS, P ;
COHEN, L .
JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 71 (01) :142-174
[4]
CRITERIA FOR THERMAL EXPLOSIONS WITH AND WITHOUT REACTANT CONSUMPTION [J].
BODDINGTON, T ;
GRAY, P ;
WAKE, GC .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 357 (1691) :403-422
[6]
THE INFLUENCE OF INITIAL TEMPERATURE-EXCESS ON CRITICAL CONDITIONS FOR THERMAL-EXPLOSION [J].
GRAY, BF ;
SCOTT, SK .
COMBUSTION AND FLAME, 1985, 61 (03) :227-236
[7]
KAPLAN S, 1963, COM PURE APPL MATH, V16, P1361
[8]
KELLER HB, 1967, J MATH MECH, V16, P1361
[9]
COMPLETE BLOW-UP FOR A SEMILINEAR DIFFUSION EQUATION WITH A SUFFICIENTLY LARGE INITIAL CONDITION [J].
LACEY, AA ;
TZANETIS, D .
IMA JOURNAL OF APPLIED MATHEMATICS, 1988, 41 (03) :207-215