Bo Chen, Fuming Ma, Yukun Guo
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
| Fuming Ma |
Institute of Mathematics
Changchun 130012, China
| Yukun Guo |
School of Mathematics
Harbin Institute of Technology
Harbin 150001, China
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