12 citations · 27 across the 5 of their papers we have counts for
6 papers
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation
Marcel Guardia, Zaher Hani, Emanuele Haus +2
We consider the defocusing cubic nonlinear Schrödinger equation (NLS) on the two-dimensional torus. The equation admits a special family of elliptic invariant quasiperiodic tori ca…
Modified scattering for the cubic Schrödinger equation on product spaces and applications
Zaher Hani, Benoit Pausader, Nikolay Tzvetkov +1
We consider the cubic nonlinear Schrödinger equation posed on the spatial domain . We prove modified scattering and construct modified wave operators…
Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations
Zaher Hani
We study the energy cascade problematic for some nonlinear Schrödinger equations on the torus $\T^2$ in terms of the growth of Sobolev norms. We define the notion of long-time stro…
On scattering for the quintic defocusing nonlinear Schrödinger equation on \R \times \T^2
Zaher Hani, Benoit Pausader
We consider the problem of large data scattering for the quintic nonlinear Schrödinger equation on $\R \times \T^2$. This equation is critical both at the level of energy and mass.…
On scattering for the quintic defocusing nonlinear Schrödinger equation on \R \times \T^2
Zaher Hani, Benoit Pausader
We consider the problem of large data scattering for the quintic nonlinear Schrödinger equation on $\R \times \T^2$. This equation is critical both at the level of energy and mass.…
Global well-posedness of the cubic nonlinear Schrödinger equation on compact manifolds without boundary
Zaher Hani
We consider the cubic non-linear Schrödinger equation on general closed (compact without boundary) Riemannian surfaces. The problem is known to be locally well-posed in fo…