LINEAR DISPERSIVE DECAY ESTIMATES FOR VORTEX SHEETS WITH SURFACE TENSION

作者：Spirn Daniel^*; Wright J Douglas

来源：Communications in Mathematical Sciences, 2009, 7(3): 521-547.

DOI：10.4310/cms.2009.v7.n3.a1

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

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).

• 出版日期2009-9