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Linear dispersive decay estimates for vortex sheets with surface tension
Journal article

Linear dispersive decay estimates for vortex sheets with surface tension

Daniel Spirn and J. Douglas Wright
01 Sep 2009

Abstract

dispersive estimates oscillatory integrals Strichartz estimates surface tension vortex sheets Water waves
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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