176 citations · 768 across the 86 of their papers we have counts for
6 papers · 1 filter
On the regularity of the flow map for the gravity-capillary equations
Robin Ming Chen, Jeremy L. Marzuola, Daniel Spirn +1
We prove via explicitly constructed initial data that solutions to the gravity-capillary wave system in representing a 2d air-water interface immediately fails to be…
Bose-Einstein condensation transition studies for atoms confined in Laguerre-Gaussian laser modes
T. G. Akin, Sharon Kennedy, Ben Dribus +4
Multiply-connected traps for cold, neutral atoms fix vortex cores of quantum gases. Laguerre-Gaussian laser modes are ideal for such traps due to their phase stability. We report t…
Quasilinear Schrödinger equations I: Small data and quadratic interactions
Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru
In this article we prove local well-posedness in low-regularity Sobolev spaces for general quasilinear Schrödinger equations. These results represent improvements of the pioneering…
Strichartz estimates for the wave equation on flat cones
Matthew D. Blair, G. Austin Ford, Jeremy L. Marzuola
We consider the solution operator for the wave equation on the flat Euclidean cone over the circle of radius , the manifold …
Nonlinear quasimodes near elliptic periodic geodesics
Pierre Albin, Hans Christianson, Jeremy L. Marzuola +1
We consider the nonlinear Schrödinger equation on a compact manifold near an elliptic periodic geodesic. Using a geometric optics construction, we construct quasimodes to a nonline…
On instability of some approximate periodic solutions for the full nonlinear Schrödinger equation
Scipio Cuccagna, Jeremy L. Marzuola
Using the Fermi Golden Rule analysis developed in several results by the first author, we prove asymptotic stability of asymmetric nonlinear bound states bifurcating from linear bo…