29 citations · 115 across the 11 of their papers we have counts for
Showing 2016 · math.APShow all
3 papers · 2 filters
math.AP2016★ 29 cited
Scattering for the 3D Gross-Pitaevskii equation
Zihua Guo, Zaher Hani, Kenji Nakanishi
We study the Cauchy problem for the 3D Gross-Pitaevskii equation. The global well-posedness in the natural energy space was proved by Gérard \cite{Gerard}. In this paper we prove s…
math.AP2016★ 12 cited
Analysis of the (CR) equation in higher dimensions
T. Buckmaster, P. Germain, Z. Hani +1
This paper is devoted to the analysis of the continuous resonant (CR) equation, in dimensions greater than 2. This equation arises as the large box (or high frequency) limit of the…
math.AP2016★ 4 cited
Effective dynamics of the nonlinear Schrödinger equation on large domains
Tristan Buckmaster, Pierre Germain, Zaher Hani +1
We consider the nonlinear Schrödinger (NLS) equation posed on the box with periodic boundary conditions. The aim is to describe the long-time dynamics by deriving effecti…