23 citations · 129 across the 19 of their papers we have counts for
3 papers · 1 filter
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…
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…
Nonuniqueness of weak solutions to the SQG equation
Tristan Buckmaster, Steve Shkoller, Vlad Vicol
We prove that weak solutions of the inviscid SQG equations are not unique, thereby answering Open Problem 11 in the survey arXiv:1111.2700 by De Lellis and Székelyhidi Jr. Moreover…