A priori estimates for fluid interface problems

Jalal Shatah, Chongchun Zeng

Research output: Contribution to journalArticle

Abstract

We consider the regularity of an interface between two incompressible and inviscid fluid flows in the presence of surface tension. We obtain local-in-time estimates on the interface in H(3/2)k+1 and the velocity fields in H(3/2)k. These estimates are obtained using geometric considerations which show that the Kelvin-Helmholtz instabilities are a consequence of a curvature calculation.

Original languageEnglish (US)
Pages (from-to)848-876
Number of pages29
JournalCommunications on Pure and Applied Mathematics
Volume61
Issue number6
DOIs
StatePublished - Jun 2008

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Interface Problems
A Priori Estimates
Surface tension
Flow of fluids
Kelvin-Helmholtz Instability
Fluid
Inviscid Flow
Fluids
Surface Tension
Estimate
Velocity Field
Fluid Flow
Regularity
Curvature

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

A priori estimates for fluid interface problems. / Shatah, Jalal; Zeng, Chongchun.

In: Communications on Pure and Applied Mathematics, Vol. 61, No. 6, 06.2008, p. 848-876.

Research output: Contribution to journalArticle

Shatah, Jalal ; Zeng, Chongchun. / A priori estimates for fluid interface problems. In: Communications on Pure and Applied Mathematics. 2008 ; Vol. 61, No. 6. pp. 848-876.
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