Tristan Buckmaster

Assistant Professor,
Department of Mathematics
Princeton University,
Fine Hall, Room 608
Princeton, NJ 08544

buckmaster at math dot princeton dot edu


CV Publications Teaching

About

My main area of interest are Partial Differential Equations with a particular focus on equations related to fluid dynamics. My research is supported by the National Science Foundation grant: DMS-1600868 'Analytic Methods in Hydrodynamic and Wave Turbulence'. Quanta Magazine wrote a popular science article on a recent paper I wrote in collaboration with Vlad Vicol entitled 'Mathematicians Find Wrinkle in Famed Fluid Equations'.

Publications

T. Buckmaster and V. Vicol, Nonuniqueness of weak solutions to the Navier-Stokes equation, submitted

T. Buckmaster, C. De Lellis, L. Székelyhidi Jr. and V. Vicol, Onsager's conjecture for Admissible Weak Solutions, Communications on Pure and Applied Mathematics, to appear

T. Buckmaster, P. Germain, Z. Hani, J. Shatah, Analysis of (CR) in higher dimension, International Mathematics Research Notices, to appear

T. Buckmaster, P. Germain, Z. Hani, J. Shatah, Effective dynamics of the nonlinear Schrödinger equation on large domains , Communications on Pure and Applied Mathematics, to appear

T. Buckmaster, S. Shkoller and V. Vicol, Nonuniqueness of weak solutions to the SQG equation , Communications on Pure and Applied Mathematics, to appear

T. Buckmaster, C. De Lellis and L. Székelyhidi Jr., Dissipative Euler flows with Onsager-critical spatial regularity , Communications on Pure and Applied Mathematics, 2016

T. Buckmaster, Onsager's conjecture almost everywhere in time , Communications in Mathematical Physics, 2015

T. Buckmaster, C. De Lellis, P. Isett and L. Székelyhidi Jr., Anomalous dissipation for 1/5-Hölder Euler flows , Annals of Mathematics, 2015

T. Buckmaster, C. De Lellis and L. Székelyhidi Jr., Transporting microstructure and dissipative Euler flows , preprint 2013

T. Buckmaster and H. Koch, The Korteweg-de-Vries equation at H^{-1} regularity, Annales IHP-ANL, 2015

T. Buckmaster, Onsager's Conjecture, PhD Thesis, 2014

Teaching

Under construction.