Nonlinear dynamic problems for 2D magnetoelastic waves

被引：0
|
作者：
Priimenko, Viatcheslav [1 ]
Vishnevskii, Mikhail [2 ]
机构：
[1] State Univ Norte Fluminense Darcy Ribeiro UENF, Lab Engn & Explorat Petr LENEP, Ave Amaral Peixoto, km 163, Ave Brenand, S-N, BR-27925535 Macae, RJ, Brazil
[2] State Univ Norte Fluminense Darcy Ribeiro UENF, Lab Math Sci LCMAT, Ave Alberto Lamego, 2000, Parque Calif, BR-28013602 Campos Dos Goytacazes, RJ, Brazil
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2023年 / 30卷 / 06期
关键词：
2D magnetoelasticity; Nonlinear coupling; Mixed problem; Inverse source problem; Existence and uniqueness; BOUNDARY-VALUE-PROBLEM; MODEL;
D O I：
10.1007/s00030-023-00887-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The propagation of magnetoelastic waves in a two-dimensional electroconductive elastic body is investigated. The waves are fully coupled through the nonlinear magnetoelastic effect. We prove the existence and uniqueness for both the forward problem and the inverse problem, which consists of identifying the unknown scalar time-dependent component in the body density force acting on the elastic body when some additional measurement is available.
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页数：15
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