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September 2009 Linear dispersive decay estimates for vortex sheets with surface tension
Daniel Spirn, J. Douglas Wright
Commun. Math. Sci. 7(3): 521-547 (September 2009).


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


Published: September 2009
First available in Project Euclid: 26 October 2009

zbMATH: 1186.35167
MathSciNet: MR2569021

Primary: 35B45 , 35Q35 , 76B07 , 76B15 , 76B45 , 76B47

Keywords: dispersive estimates , Oscillatory integrals , Strichartz estimates , Surface tension , vortex sheets , Water waves

Rights: Copyright © 2009 International Press of Boston

Vol.7 • No. 3 • September 2009
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