Bo Chen, Fuming Ma, Yukun Guo
Abstract:
This article concerns acoustic scattering from two-dimensional
open cavities in the time domain.
A transparent boundary condition is provided to reformulate
the problem as an equivalent initial boundary value problem in the interior
region of the open cavity. The well-posedness, that is, the existence, uniqueness
and stability of the solution to the reduced problem, is proved via a
"Laplace domain" to time domain analysis. Moreover, time domain
boundary integral equations for the reduced problem are established.
Submitted March 8, 2019. Published December 16, 2019.
Math Subject Classifications: 35L20, 35B35, 35A22.
Key Words: Time domain acoustic scattering; open cavity;
transparent boundary condition; well-posedness;
boundary integral equation.
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Bo Chen College of Science Civil Aviation University of China Tianjin 300300, China email: charliecb@163.com |
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| Fuming Ma Institute of Mathematics Jilin University Changchun 130012, China email: mfm@jlu.edu.cn | |
| Yukun Guo School of Mathematics Harbin Institute of Technology Harbin 150001, China email: ykguo@hit.edu.cn |
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