On a two-phase free boundary problem

被引：3
|
作者：
Ablowitz, MJ
De Lillo, S
机构：
[1] Univ Colorado, Dept Appl Math, Boulder, CO 80309 USA
[2] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
[3] Ist Nazl Fis Nucl, Sez Perugia, I-06123 Perugia, Italy
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 15期
关键词：
D O I：
10.1088/0305-4470/36/15/307
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A two-phase free boundary problem associated with the Burgers equation is considered. The problem is reduced to a system of nonlinear integral equations which is analysed and shown to have a unique solution. The system admits a two-component shock solution which travels with the same velocity as that of the free boundary. The stability analysis of such a solution shows the existence of stability and instability regions according to different values of the parameters characterizing the system.
引用
收藏
页码：4307 / 4319
页数：13
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