Linear dispersive decay estimates for vortex sheets with surface tension
Spirn, Daniel ; Wright, J. Douglas
Commun. Math. Sci., Volume 7 (2009) no. 1, p. 521-547 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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 $t^−1/3$
Published online : 2009-09-15
Classification:  Water waves,  surface tension,  vortex sheets,  oscillatory integrals,  dispersive estimates,  Strichartz estimates,  35Q35,  76B45,  76B47,  76B07,  76B15,  35B45 
@article{1256562811,
     author = {Spirn, Daniel and Wright, J. Douglas},
     title = {Linear dispersive decay estimates for vortex sheets with surface tension},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 521-547},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256562811}
}

Spirn, Daniel; Wright, J. Douglas. Linear dispersive decay estimates for vortex sheets with surface tension. Commun. Math. Sci., Volume 7 (2009) no. 1, pp.  521-547. http://gdmltest.u-ga.fr/item/1256562811/