STABILITY OF THE TRAVELING WAVES IN A CLASS OF FREE-BOUNDARY PROBLEMS ARISING IN COMBUSTION THEORY

被引:0
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作者
LUNARDI, A [1 ]
机构
[1] DIPARTIMENTO MATEMAT,I-09124 CAGLIARI,ITALY
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We study the stability of the travelling wave solutions of a class of one-phase and two-phase free boundary value problems arising in Combustion Theory. They are transformed into nonlinear evolution equations in Banach space, in such a way that stability of the travelling wave solution of the free boundary problem is equivalent to orbital stability of the null solution of the abstract problem. Then known stability results for abstract parabolic equations arc applied.
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页码:285 / 296
页数:12
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