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Linear dispersive decay estimates for vortex sheets with surface tension
Daniel Spirn and J. Douglas Wright
Source: Commun. Math. Sci. Volume 7, Number 3
(2009), 521-547.
Abstract
We consider the amplitude decay for the linearized equations governing irrotational vortex sheets and water waves with surface tension. Using oscillatory integral estimates, we prove that the magnitude of the amplitude decays faster than $t^−1/3$
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Keywords: Water waves; surface tension; vortex sheets; oscillatory integrals; dispersive estimates; Strichartz estimates
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.cms/1256562811
Mathematical Reviews number (MathSciNet): MR2569021
Zentralblatt MATH identifier: 1186.35167
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Communications in Mathematical Sciences
