A priori estimates of the electrohydrodynamic waves with vorticity: vertical electric field
type: Item
instance of: scholarly article
title: A priori estimates of the electrohydrodynamic waves with vorticity: vertical electric field
zbMATH Open document ID: 1464.76216
author: Jiaqi Yang
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-03-08T00:00:00Z
review text: In this paper the author considers an incompressible inviscid conducting fluid in the presence of surface tension and vertical electric field. By the reduced equations, on the interface and for the velocity field, the author obtains the local-in-time estimates on the interface \(H^{3k+1}\) and for the velocity fields in \(H^{3k}\) using a method introduced by \textit{J. Shatah} and \textit{C. Zeng} [Commun. Pure Appl. Math 61, No. 5, 698--744 (2008; Zbl 1174.76001 )].
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7318543
zbMATH Keywords: free-boundary problem
zbMATH Keywords: well-posedness
zbMATH Keywords: Lagrangian formulation
reviewed by: Panagiotis N. Koumantos
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.124973
OpenAlex ID: W3125044987
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DOI: 10.1016/J.JMAA.2021.124973
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description: scientific article; zbMATH DE number 7318543