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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 $t^−1/3$
Primary Subjects: 35Q35, 76B45, 76B47, 76B07, 76B15, 35B45
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
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Communications in Mathematical Sciences
