开口腔体的时域声散射分析
Analysis of the time domain acoustic scattering from open cavities
摘要：
本文研究二维开口腔体的时域声散射问题。通过引入一个透明边界条件，将散射问题转化为一个等价的开腔内域初边值问题。通过从“Laplace域”到时域分析，研究了该约化问题解的适定性，即解的存在性、唯一性和稳定性。建立了简化问题的时域边界积分方程。
英文摘要：
This paper is concerned with the analysis of the time domain acoustic scattering from two-dimensional open cavities. A transparent boundary condition is developed to reformulate the scattering problem into an equivalent initial boundary value problem in the interior domain of the open cavity. The well-posedness, that is, the existence, uniqueness and stability of the solution to the reduced problem are studied via a "Laplace domain" to time domain analysis. Moreover, time domain boundary integral equations for the reduced problem are established.
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