Contents Online
Communications in Mathematical Sciences
Volume 7 (2009)
Number 3
Linear dispersive decay estimates for vortex sheets with surface tension
Pages: 521 – 547
DOI: https://dx.doi.org/10.4310/CMS.2009.v7.n3.a1
Authors
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 $t^−1/3$
Keywords
Water waves, surface tension, vortex sheets, oscillatory integrals, dispersive estimates, Strichartz estimates
2010 Mathematics Subject Classification
35B45, 35Q35, 76B07, 76B15, 76B45, 76B47
Published 1 January 2009