【摘要】：研究了時(shí)間調(diào)和的點(diǎn)源入射平面波通過腔體和裂縫的正散射問題,認(rèn)為散射體是由一個(gè)可穿透腔體和一個(gè)外部不可穿透的裂縫構(gòu)成,該問題歸結(jié)為對具有一定邊界條件的Helmholtz方程的求解.通過邊界積分方程的方法,利用位勢理論和Fredholm定理,證明了該問題解的存在唯一性.
[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.
【作者單位】： 中南民族大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金數(shù)學(xué)天元基金(11526196)
【分類號】：O175
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本文編號：2215284