论文标题
在边界域的积分方程方法上，用于可压缩系统的DIRICHLET问题具有可变粘度
On the Boundary-Domain Integral Equation Method for the Dirichlet Problem of the Compressible Stokes System with Variable Viscosity
论文作者
论文摘要
我们使用带有显式参数（LEVI函数）的潜在方法来得出两个与Dirichlet问题相当的边界域积分方程（BDIE）的系统。 BDIS是根据表面和体积流体动力电位给出的。我们研究了这些积分电位运算符的映射特性，并用它们证明了两个单层的非平凡核和超高动力学表面电位的非平凡核的存在和唯一性。
We derive two systems of boundary-domain integral equations (BDIEs) equivalent to the Dirichlet problem for the compressible Stokes system using the potential method with an explicit parametrix (Levi function). The BDIEs are given in terms of surface and volume hydrodynamic potentials. We study the mapping properties of these integral potential operators and used them to prove existence and uniqueness of solution of the two systems of BDIEs obtained taking into account the non-trivial kernels of the single layer and hypersingular hydrodynamic surface potentials.
