A priori estimates of the electrohydrodynamic waves with vorticity: horizontal electric field. Issue 3 (11th February 2023)

• Record Type: Journal Article
• Authors: Yang, Jiaqi
• Is Part Of: Applicable analysis. Volume 102:Issue 3(2023)
• Page Start: 695
• Page End: 708
• Publication Date: 2023-02-11
• Subjects: Electrohydrodynamic waves -- horizontal electric field -- vorticity; 35Q31 -- 35R35 -- 76W05; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1961757
• Languages: English
• ISSNs: 0003-6811

Abstract

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 H ( 3 / 2 ) k + 1 and the velocity fields in H ( 3 / 2 ) k 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.