A priori estimates for fluid interface problems

Jalal Shatah; Chongchun Zeng

doi:10.1002/cpa.20241

A priori estimates for fluid interface problems

Jalal Shatah, Chongchun Zeng

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	848-876
Number of pages	29
Journal	Communications on Pure and Applied Mathematics
Volume	61
Issue number	6
DOIs	https://doi.org/10.1002/cpa.20241
State	Published - Jun 2008

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.20241

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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.",

author = "Jalal Shatah and Chongchun Zeng",

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AB - 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.

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A priori estimates for fluid interface problems

Abstract

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