A priori estimates of the electrohydrodynamic waves with vorticity: vertical electric field (Q1998740)
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scientific article; zbMATH DE number 7318543
| Language | Label | Description | Also known as |
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| English | A priori estimates of the electrohydrodynamic waves with vorticity: vertical electric field |
scientific article; zbMATH DE number 7318543 |
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A priori estimates of the electrohydrodynamic waves with vorticity: vertical electric field (English)
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8 March 2021
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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 )].
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free-boundary problem
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well-posedness
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Lagrangian formulation
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