可穿透腔体外有裂缝的正散射问题
发布时间:2018-08-31 14:34
【摘要】:研究了时间调和的点源入射平面波通过腔体和裂缝的正散射问题,认为散射体是由一个可穿透腔体和一个外部不可穿透的裂缝构成,该问题归结为对具有一定边界条件的Helmholtz方程的求解.通过边界积分方程的方法,利用位势理论和Fredholm定理,证明了该问题解的存在唯一性.
[Abstract]:In this paper, the problem of positive scattering of incident plane waves of time-harmonic point source through cavity and crack is studied. It is considered that the scattering body is composed of a penetrating cavity and an external impenetrable crack. The problem is reduced to the solution of Helmholtz equation with certain boundary conditions. By using the method of boundary integral equation, the existence and uniqueness of the solution of the problem are proved by using the potential theory and Fredholm theorem.
【作者单位】: 中南民族大学数学与统计学学院;
【基金】:国家自然科学基金数学天元基金(11526196)
【分类号】:O175
,
本文编号:2215284
[Abstract]:In this paper, the problem of positive scattering of incident plane waves of time-harmonic point source through cavity and crack is studied. It is considered that the scattering body is composed of a penetrating cavity and an external impenetrable crack. The problem is reduced to the solution of Helmholtz equation with certain boundary conditions. By using the method of boundary integral equation, the existence and uniqueness of the solution of the problem are proved by using the potential theory and Fredholm theorem.
【作者单位】: 中南民族大学数学与统计学学院;
【基金】:国家自然科学基金数学天元基金(11526196)
【分类号】:O175
,
本文编号:2215284
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