191 citations · 708 across the 83 of their papers we have counts for
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Non-radial implosion for the defocusing nonlinear Schrödinger equation in and
Gonzalo Cao-Labora, Javier Gómez-Serrano, Jia Shi +1
In this paper we construct smooth, non-radial solutions of the defocusing nonlinear Schrödinger equation that develop an imploding finite time singularity, both in the periodic set…
Condensation and non-condensation times for 4-wave kinetic equations
Gigliola Staffilani, Minh-Binh Tran
Inspired by the pioneering work of Escobedo and Velazquez \cite{EscobedoVelazquez:2015:FTB,EscobedoVelazquez:2015:OTT}, we prove that solutions of 4-wave kinetic equations, under v…
On the energy transfer towards large values of wavenumbers for solutions of 4-wave kinetic equations
Gigliola Staffilani, Minh-Binh Tran
Inspired by the fundamental work of Escobedo and Velazquez \cite{EscobedoVelazquez:2015:FTB,EscobedoVelazquez:2015:OTT}, we prove that solutions of 4-wave kinetic equations, under…
Modified scattering for the cubic Schrödinger equation on Diophantine waveguides
Nicolas Camps, Gigliola Staffilani
We consider the cubic Schrödinger equation posed on a product space subject to a generic Diophantine condition. Our analysis shows that the small-amplitude solutions undergo modifi…