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 $t^−1/3$
Citation
Daniel Spirn. J. Douglas Wright. "Linear dispersive decay estimates for vortex sheets with surface tension." Commun. Math. Sci. 7 (3) 521 - 547, September 2009.
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