TIME-DOMAIN ANALYSIS OF FORWARD OBSTACLE SCATTERING FOR ELASTIC WAVE

被引：1
|
作者：
Zhao, Lu [1 ]
Dong, Heping [1 ]
Ma, Fuming [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Time-domain; elastic wave equation; compressed coordinate transformation; well-posedness; priori estimates; MATCHED LAYER METHOD; ACOUSTIC SCATTERING; ELECTROMAGNETIC SCATTERING; CONVERGENCE; EQUATIONS;
D O I：
10.3934/dcdsb.2020276
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns a time-domain scattering problem of elastic plane wave by a rigid obstacle, which is immersed in an open space filled with homogeneous and isotropic elastic medium in two dimensions. A new compressed coordinate transformation is developed to reduce the scattering problem into an initial boundary value problem in a bounded domain over a finite time interval. The well-posednesss is established for the reduced problem. This paper adopts Galerkin method to prove the uniqueness results and employs energy method to derive stability results for the scattering problem. Furthermore, we achieve a priori estimate with explicit time dependence.
引用
收藏
页码：4111 / 4130
页数：20
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