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Representative Research Achievements

Subsonic Flow for the Multidimensional Euler–Poisson System

저자Author

MyoungJean Bae

논문명Title

저널명Journal name

ARCHIVE OF RATIONAL MECHANICS AND ANALYSIS

게재일Date of publication

2016

작성자Writer

관리자

작성일Date of issue

2020-06-05 17:13

Abstract

We establish the existence and stability of subsonic potential flow for the steady Euler–Poisson system in a multidimensional nozzle of a finite length when prescribing the electric potential difference on a non-insulated boundary from a fixed point at the exit, and prescribing the pressure at the exit of the nozzle. The Euler–Poisson system for subsonic potential flow can be reduced to a nonlinear elliptic system of second order. In this paper, we develop a technique to achieve a priori C 1,α C1,α estimates of solutions to a quasi-linear second order elliptic system with mixed boundary conditions in a multidimensional domain enclosed by a Lipschitz continuous boundary. In particular, we discovered a special structure of the Euler–Poisson system which enables us to obtain C 1,α C1,α estimates of the velocity potential and the electric potential functions, and this leads us to establish structural stability of subsonic flows for the Euler–Poisson system under perturbations of various data.

https://link.springer.com/article/10.1007%2Fs00205-015-0930-6

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