12 citations · 17 across the 4 of their papers we have counts for
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Smooth self-similar imploding profiles to 3D compressible Euler
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano
The aim of this note is to present the recent results in [Buckmaster, Cao-Labora, Gómez-Serrano, arXiv:2208.09445, 2022], concerning the existence of "imploding singularities" for…
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…
Dissipative Euler flows with Onsager-critical spatial regularity
Tristan Buckmaster, Camillo De Lellis, László Székelyhidi
For any we show the existence of continuous periodic weak solutions of the Euler equations which do not conserve the kinetic energy and belong to the space $L^1_t (C_x^{\…