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On steady potential models for Euler–Poisson system in general smooth domains
Author(s) -
Chen Chao
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7148
Subject(s) - conservative vector field , mathematics , euler's formula , poisson distribution , mathematical analysis , bounded function , mach number , constant (computer programming) , euler equations , euler system , boundary (topology) , mechanics , physics , statistics , computer science , compressibility , programming language
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.