Tristan Buckmaster

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All published works
Action Title Year Authors
+ Smooth imploding solutions for 3D compressible fluids 2025 Tristan Buckmaster
Gonzalo Cao Labora
Javier Gómez-Serrano
+ PDF Chat Blowup for the defocusing septic complex-valued nonlinear wave equation in $\mathbb{R}^{4+1}$ 2024 Tristan Buckmaster
Jiajie Chen
+ Formation and development of singularities for the compressible Euler equations 2023 Tristan Buckmaster
Theodore D. Drivas
Steve Shkoller
Vlad Vicol
+ Intermittent Convex Integration for the 3D Euler Equations 2023 Tristan Buckmaster
Nader Masmoudi
Matthew Novack
Vlad Vicol
+ PDF Chat Asymptotic Self-Similar Blow-Up Profile for Three-Dimensional Axisymmetric Euler Equations Using Neural Networks 2023 Y. Wang
Ching‐Yao Lai
Javier Gómez-Serrano
Tristan Buckmaster
+ Smooth self-similar imploding profiles to 3D compressible Euler 2023 Tristan Buckmaster
Gonzalo Cao-Labora
Javier Gómez-Serrano
+ Smooth self-similar imploding profiles to 3D compressible Euler 2023 Tristan Buckmaster
Gonzalo Cao-Labora
Javier Gómez-Serrano
+ PDF Chat Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data 2022 Tristan Buckmaster
Theodore D. Drivas
Steve Shkoller
Vlad Vicol
+ PDF Chat Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems Dominated by Interactions among Groups of Six Waves 2022 Jeffrey W. Banks
Tristan Buckmaster
A. O. Korotkevich
Gregor Kovačič
Jalal Shatah
+ PDF Chat Formation of Point Shocks for 3D Compressible Euler 2022 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ PDF Chat Shock Formation and Vorticity Creation for 3d Euler 2022 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks 2022 Yongji Wang
Ching‐Yao Lai
Javier Gómez-Serrano
Tristan Buckmaster
+ Smooth imploding solutions for 3D compressible fluids 2022 Tristan Buckmaster
Gonzalo Cao-Labora
Javier Gómez-Serrano
+ PDF Chat Formation of Unstable Shocks for 2D Isentropic Compressible Euler 2021 Tristan Buckmaster
Sameer Iyer
+ PDF Chat Wild solutions of the Navier–Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1 2021 Tristan Buckmaster
Maria Colombo
Vlad Vicol
+ Direct verification of the kinetic description of wave turbulence 2021 Jeffrey W. Banks
Tristan Buckmaster
A. O. Korotkevich
Gregor Kovačič
Jalal Shatah
+ PDF Chat Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation 2021 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Non-conservative $H^{\frac 12-}$ weak solutions of the incompressible 3D Euler equations 2021 Tristan Buckmaster
Nader Masmoudi
Matthew Novack
Vlad Vicol
+ Simultaneous development of shocks and cusps for 2D Euler with azimuthal symmetry from smooth data 2021 Tristan Buckmaster
Theodore D. Drivas
Steve Shkoller
Vlad Vicol
+ Non-conservative $H^{\frac 12-}$ weak solutions of the incompressible 3D Euler equations 2021 Tristan Buckmaster
Nader Masmoudi
Matthew Novack
Vlad Vicol
+ PDF Chat Convex integration constructions in hydrodynamics 2020 Tristan Buckmaster
Vlad Vicol
+ PDF Chat Formation of Shocks for <scp>2D</scp> Isentropic Compressible Euler 2020 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ Formation of unstable shocks for 2D isentropic compressible Euler 2020 Tristan Buckmaster
Sameer Iyer
+ PDF Chat Convex integration and phenomenologies in turbulence 2020 Tristan Buckmaster
Vlad Vicol
+ PDF Chat Weak Solutions of Ideal MHD Which Do Not Conserve Magnetic Helicity 2020 Rajendra Beekie
Tristan Buckmaster
Vlad Vicol
+ A Heuristic Approach to Convex Integration for the Euler Equations 2020 Tristan Buckmaster
Vlad Vicol
+ Shock formation and vorticity creation for 3d Euler 2020 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ Formation of point shocks for 3D compressible Euler 2019 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ On the kinetic wave turbulence description for NLS 2019 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Weak solutions of ideal MHD which do not conserve magnetic helicity 2019 Rajendra Beekie
Tristan Buckmaster
Vlad Vicol
+ Onset of the wave turbulence description of the longtime behavior of the nonlinear Schr\"odinger equation 2019 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Formation of shocks for 2D isentropic compressible Euler 2019 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ PDF Chat Nonuniqueness of Weak Solutions to the SQG Equation 2019 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ Convex integration and phenomenologies in turbulence. 2019 Tristan Buckmaster
Vlad Vicol
+ PDF Chat Nonuniqueness of weak solutions to the Navier-Stokes equation 2019 Tristan Buckmaster
Vlad Vicol
+ Weak solutions of ideal MHD which do not conserve magnetic helicity 2019 Rajendra Beekie
Tristan Buckmaster
Vlad Vicol
+ Formation of shocks for 2D isentropic compressible Euler 2019 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation 2019 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Convex integration and phenomenologies in turbulence 2019 Tristan Buckmaster
Vlad Vicol
+ Formation of point shocks for 3D compressible Euler 2019 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ PDF Chat The Surface Quasi-geostrophic Equation With Random Diffusion 2018 Tristan Buckmaster
Andrea R. Nahmod
Gigliola Staffilani
Klaus Widmayer
+ Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1 2018 Tristan Buckmaster
Maria Colombo
Vlad Vicol
+ PDF Chat Onsager's Conjecture for Admissible Weak Solutions 2018 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
Vlad Vicol
+ The Surface Quasi-Geostrophic Equation with Random Diffusion 2018 Tristan Buckmaster
Andrea R. Nahmod
Gigliola Staffilani
Klaus Widmayer
+ PDF Chat Effective Dynamics of the Nonlinear Schrödinger Equation on Large Domains 2018 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1 2018 Tristan Buckmaster
Maria Colombo
Vlad Vicol
+ The Surface Quasi-Geostrophic Equation with Random Diffusion 2018 Tristan Buckmaster
Andrea R. Nahmod
Gigliola Staffilani
Klaus Widmayer
+ Nonuniqueness of weak solutions to the Navier-Stokes equation 2017 Tristan Buckmaster
Vlad Vicol
+ PDF Chat Analysis of (CR) in Higher Dimension 2017 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Onsager's conjecture for admissible weak solutions 2017 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
Vlad Vicol
+ Onsager's conjecture for admissible weak solutions 2017 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
Vlad Vicol
+ Nonuniqueness of weak solutions to the Navier-Stokes equation 2017 Tristan Buckmaster
Vlad Vicol
+ Effective dynamics of the nonlinear Schr\"odinger equation on large domains 2016 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Nonuniqueness of weak solutions to the SQG equation 2016 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ Analysis of the (CR) equation in higher dimensions 2016 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Effective dynamics of the nonlinear Schrödinger equation on large domains 2016 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
+ Nonuniqueness of weak solutions to the SQG equation 2016 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
+ PDF Chat Dissipative Euler Flows with Onsager‐Critical Spatial Regularity 2015 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
+ PDF Chat Anomalous dissipation for 1/5-Hölder Euler flows 2015 Tristan Buckmaster
Camillo De Lellis
Philip Isett
László Székelyhidi
+ PDF Chat Onsager’s Conjecture Almost Everywhere in Time 2015 Tristan Buckmaster
+ Onsager's Conjecture 2014 Tristan Buckmaster
+ PDF Chat The Korteweg–de Vries equation at \( H^{- 1} \) regularity 2014 Herbert Koch
Tristan Buckmaster
+ Dissipative Euler flows with Onsager-critical spatial regularity 2014 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
+ Dissipative Euler flows with Onsager-critical spatial regularity 2014 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
+ Onsager's conjecture almost everywhere in time 2013 Tristan Buckmaster
+ Transporting microstructure and dissipative Euler flows 2013 Tristan Buckmaster
Camillo De Lellis
O Sz
Ekelyhidi
+ Transporting microstructure and dissipative Euler flows 2013 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
+ Onsager's conjecture almost everywhere in time 2013 Tristan Buckmaster
+ The Korteweg-de-Vries equation at H^{-1} regularity 2011 Tristan Buckmaster
Herbert Koch
+ The Korteweg-de-Vries equation at H^{-1} regularity 2011 Tristan Buckmaster
Herbert Koch
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Energy conservation and Onsager's conjecture for the Euler equations 2008 Alexey Cheskidov
Peter Constantin
Susan Friedlander
Roman Shvydkoy
17
+ PDF Chat Onsager’s Conjecture Almost Everywhere in Time 2015 Tristan Buckmaster
15
+ PDF Chat Onsager's conjecture on the energy conservation for solutions of Euler's equation 1994 Peter Constantin
E Weinan
Edriss S. Titi
15
+ PDF Chat Dissipative continuous Euler flows 2012 Camillo De Lellis
László Székelyhidi
13
+ Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer 1994 Gregory L. Eyink
12
+ PDF Chat Dissipative Euler flows and Onsager's conjecture 2014 Camillo De Lellis
László Székelyhidi
11
+ An inviscid flow with compact support in space-time 1993 Vladimir Scheffer
11
+ PDF Chat A proof of Onsager's conjecture 2018 Philip Isett
10
+ PDF Chat Anomalous dissipation for 1/5-Hölder Euler flows 2015 Tristan Buckmaster
Camillo De Lellis
Philip Isett
László Székelyhidi
10
+ Weak Solutions with Decreasing Energy¶of Incompressible Euler Equations 2000 Alexander Shnirelman
10
+ PDF Chat On Admissibility Criteria for Weak Solutions of the Euler Equations 2008 Camillo De Lellis
László Székelyhidi
10
+ Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations 1999 Jean Duchon
Raoul Robert
10
+ PDF Chat Dissipative Euler Flows with Onsager‐Critical Spatial Regularity 2015 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
10
+ PDF Chat Non-uniqueness and h-Principle for Hölder-Continuous Weak Solutions of the Euler Equations 2017 Sara Daneri
László Székelyhidi
10
+ Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations 1964 Peter D. Lax
9
+ PDF Chat The Euler equations as a differential inclusion 2009 Camillo De Lellis
László Székelyhidi
9
+ PDF Chat Shock formation in solutions to the 2D compressible Euler equations in the presence of non-zero vorticity 2018 Jonathan Luk
Jared Speck
9
+ PDF Chat Onsager's Conjecture for Admissible Weak Solutions 2018 Tristan Buckmaster
Camillo De Lellis
László Székelyhidi
Vlad Vicol
8
+ Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations 1979 Tai-Ping Liu
8
+ On C1-isometric imbeddings. I 1955 Nicolaas H. Kuiper
8
+ PDF Chat Nonuniqueness of weak solutions to the Navier-Stokes equation 2019 Tristan Buckmaster
Vlad Vicol
8
+ PDF Chat Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations 2018 Maria Colombo
Camillo De Lellis
Luigi De Rosa
8
+ PDF Chat The ℎ-principle and the equations of fluid dynamics 2012 Camillo De Lellis
László Székelyhidi
8
+ PDF Chat Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time 2017 Philip Isett
8
+ PDF Chat Nonuniqueness of Weak Solutions to the SQG Equation 2019 Tristan Buckmaster
Steve Shkoller
Vlad Vicol
7
+ PDF Chat The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation 2005 Frank Merle
Pierre Raphaël
7
+ PDF Chat High dimensionality and h-principle in PDE 2016 Camillo De Lellis
László Székelyhidi
7
+ On the nonuniqueness of weak solution of the Euler equation 1997 Alexander Shnirelman
7
+ PDF Chat Stationary Solutions and Nonuniqueness of Weak Solutions for the Navier–Stokes Equations in High Dimensions 2019 Xiaoyutao Luo
7
+ PDF Chat Asymptotics for L2 minimal blow-up solutions of critical nonlinear Schrödinger equation 1996 Frank Merle
7
+ PDF Chat The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation 2015 Erwan Faou
Pierre Germain
Zaher Hani
7
+ PDF Chat The Shock Development Problem 2018 Demetrios Christodoulou
7
+ PDF Chat Formation and propagation of singularities for $2\times 2$ quasilinear hyperbolic systems 2002 De-Xing Kong
6
+ PDF Chat Blowup of Small Data Solutions for a Quasilinear Wave Equation in Two Space Dimensions 1999 Serge Alinhac
6
+ On the endpoint regularity in Onsager’s conjecture 2024 Philip Isett
6
+ PDF Chat Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, II 1999 Serge Alinhac
6
+ On singularity formation for the two dimensional unsteady Prandtl's system 2021 Charles Collot
Tej‐Eddine Ghoul
Slim Ibrahim
Nader Masmoudi
6
+ PDF Chat h-Principles for the Incompressible Euler Equations 2013 Antoine Choffrut
6
+ PDF Chat h-Principle and Rigidity for C 1,α Isometric Embeddings 2012 Sergio Conti
Camillo De Lellis
László Székelyhidi
6
+ PDF Chat On Nash’s unique contribution to analysis in just three of his papers 2016 Sergiù Klainerman
6
+ PDF Chat On Nonperiodic Euler Flows with Hölder Regularity 2016 Philip Isett
Sung‐Jin Oh
5
+ Convex integration for a class of active scalar equations 2011 Roman Shvydkoy
5
+ On the interior regularity of weak solutions of the Navier-Stokes equations 1962 James Serrin
5
+ PDF Chat Partial regularity of solutions to the Navier-Stokes equations 1976 Vladimir Scheffer
5
+ PDF Chat Singularity formation for Burgers' equation with transverse viscosity 2022 Charles Collot
Tej‐Eddine Ghoul
Nader Masmoudi
5
+ Nonlinear Dispersive Equations 2006 Terence Tao
5
+ PDF Chat Effective Dynamics of the Nonlinear Schrödinger Equation on Large Domains 2018 Tristan Buckmaster
Pierre Germain
Zaher Hani
Jalal Shatah
5
+ The formation of shocks in 3-dimensional fluids 2007 Demetrios Christodoulou
5
+ PDF Chat Weakly nonlinear Schrödinger equation with random initial data 2010 Jani Lukkarinen
Herbert Spohn
5
+ Non-uniqueness of Leray-Hopf weak solutions of the 3D Hall-MHD system 2018 Mimi Dai
5