Nonuniqueness in a free boundary problem from combustion

被引：4

作者：

Petrosyan, Arshak ^{[1
]}

Yip, Nung Kwan ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2008年 / 18卷 / 04期

关键词：

nonuniqueness; free boundary problem; singular perturbations; flame propagation; combustion;

D O I：

10.1007/s12220-008-9044-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a parabolic free boundary problem with a fixed gradient condition which serves as a simplified model for the propagation of premixed equidiffusional flames. We give a rigorous justification of an example due to J.L. Vazquez that the initial data in the form of two circular humps leads to the nonuniqueness of limit solutions if the supports of the humps touch at the time of their maximal expansion.

引用

页码：1098 / 1126

页数：29

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