Open AccessThree-dimensional supersonic flows of Euler-Poisson system for potential flow
Author(s) -
Myoungjean Bae,
Hyangdong Park
Publication year - 2021
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021079
Subject(s) - supersonic speed , euler's formula , poisson distribution , cylinder , flow (mathematics) , choked flow , mathematics , mechanics , physics , mathematical analysis , geometry , statistics
We prove the unique existence of supersonic solutions of the Euler-Poisson system for potential flow in a three-dimensional rectangular cylinder when prescribing the velocity and the strength of electric field at the entrance. Overall, the main framework is similar to [ 1 ], but there are several technical differences to be taken care of vary carefully. And, it is our main goal to treat all the technical differences occurring when one considers a three dimensional supersonic solution of the steady Euler-Poisson system.