A priori estimates of the electrohydrodynamic waves with vorticity: vertical electric field
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 )].
scientific article; zbMATH DE number 7318543
scientific article