Abstract
We consider an incompressible and inviscid conducting fluid in the presence of surface tension and vertical electric field. We will reduce the system to the equations on the interface and the velocity fields. By the reduced equations, it is obtained the local-in-time estimates on the interface in H3k+1 and the velocity fields in H3k by using the method introduced by Shatah and Zeng [20]. The estimates of a vertical electric field can be obtained from the estimates of the interface and elliptic estimates.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
