Spectral and scattering theory in perturbed stratified fluids. II. Transmission problems and exterior domains
Spectral and scattering theory in perturbed stratified fluids. II. Transmission problems and exterior domains
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扰动分层流体中的光谱和散射理论。
DOI：
10.1016/0022-0396(86)90074-4
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发表时间：
1986
影响因子：
2.4
通讯作者：
R. Weder
中科院分区：
文献类型：
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作者：
R. Weder
在以前的文件[嗯，我们研究了扰动分层介质的光谱和散射理论。特别是，我们研究了声传播的情况下，该问题被定义在所有的UP+ I。在本文中，我们考虑传播问题的声传播，并在外部区域。无扰问题是一个分层的流体，其中声速只是深度y的函数，cO（y），y E R。其中A= Cy= 1（82/~ 2xi）+（a2/@ y），u（t，x，y）（超压或声势）是一个真实的实值函数，定义为ZE R，x ER”，y E R。我们考虑的情况下
In a previous paper [Well we studied the spectral and scattering theory of perturbed stratified media. In particular we studied the acoustic propagator in the case where the problem is defined in all of UP+ I. In this paper we consider the acoustic propagator for transmission problems, and in exterior domains. The unperturbed problem is a stratified fluid where the sound speed is only a function of the depth y, cO (y), y E R. The corresponding wave equation is where A= Cy= 1 (82/~ 2xi)+(a2/@ y), and u (t, x, y)(the excess pressure or the acoustic potential) is a real valued function defined for ZE R, x ER”, y E R. We consider the case