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A priori estimates of the electrohydrodynamic waves with vorticity: horizontal electric field
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-08-13 , DOI: 10.1080/00036811.2021.1961757 Jiaqi Yang 1
中文翻译:
具有涡量的电流体动力波的先验估计:水平电场
更新日期:2021-08-13
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-08-13 , DOI: 10.1080/00036811.2021.1961757 Jiaqi Yang 1
Affiliation
ABSTRACT
In this paper, we are concerned with an incompressible and inviscid conducting fluid in the presence of surface tension and horizontal electric field. It is obtained the local-in-time estimates on the interface in and the velocity fields in by using the method introduced by Shatah and Zeng [A priori estimates for fluid interface problems. Commun Pure Appl Math. 2008;61(6):848–876]. The estimates of a horizontal electric field can be obtained from the estimates of the interface and elliptic estimates.
中文翻译:
具有涡量的电流体动力波的先验估计:水平电场
摘要
在本文中,我们关注存在表面张力和水平电场的不可压缩和无粘性导电流体。它是在接口上获得的本地时间估计和速度场通过使用 Shatah 和 Zeng 介绍的方法 [流体界面问题的先验估计。Commun 纯应用数学。2008;61(6):848-876]。水平电场的估计可以从界面估计和椭圆估计中获得。