TITLE |
THREE-DIMENSIONAL SUPERSONIC FLOWS OF EULER-POISSON SYSTEM FOR POTENTIAL FLOW |
KIAS AUTHORS |
Bae, M. Y. O. U. N. G. J. E. A. N. |
JOURNAL |
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021 |
ARCHIVE |
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ABSTRACT |
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. |