Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions

被引：1
|
作者：
Golovaty, Yuriy [1 ]
Flyud, Volodymyr [1 ,2 ]
机构：
[1] Ivan Franko Natl Univ Lviv, Lvov, Ukraine
[2] Opole Univ Technol, Opole, Poland
来源：
OPEN MATHEMATICS | 2017年 / 15卷
关键词：
Metric graph; Hyperbolic equation; Singular perturbed problem; Asymptotics; Boundary layer; SCHRODINGER-OPERATORS; LOCALIZATION; TRANSMISSION; POTENTIALS; NETWORKS; WAVES; WIRE;
D O I：
10.1515/math-2017-0030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph is studied. The hyperbolic equation becomes degenerate on a part of the graph as a small parameter goes to zero. In addition, the rates of degeneration may differ in different edges of the graph. Using the boundary layer method the complete asymptotic expansions of solutions are constructed and justified.
引用
收藏
页码：404 / 419
页数：16
相关论文
共 50 条
12345