In this paper, we study the existence of multidimensional steady Euler–Poisson irrotational flows in general smooth bounded domains. If the conservative constant is large enough, the existence of the steady Euler–Poisson flows with low Mach number is established, provided that the normal component of current density and the tangential electric field are imposed on the boundary.

中文翻译：

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一般光滑域中欧拉-泊松系统的稳定势模型

在本文中，我们研究了一般光滑有界域中多维稳态Euler-Poisson无旋流的存在。如果保守常数足够大，则在边界上施加电流密度和切向电场的法向分量的情况下，将建立具有低马赫数的稳定Euler-Poisson流的存在。