Three-dimensional supersonic flows of Euler-Poisson system for potential flow | Zendy

Myoungjean Bae | Zendy; Hyangdong Park | Zendy

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Three-dimensional supersonic flows of Euler-Poisson system for potential flow

Author(s) -

Myoungjean Bae,

Hyangdong Park

Publication year - 2021

Publication title -

communications on pure andamp 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 , choked flow , flow (mathematics) , mathematics , mechanics , physics , geometry , mathematical analysis , 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.

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