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Dissipative continuous Euler flows

Inventiones mathematicae, 2013-08, Vol.193 (2), p.377-407

2013

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Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

Archive for rational mechanics and analysis, 2021-05, Vol.240 (2), p.1055-1090

2021

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Dissipative Euler Flows with Onsager-Critical Spatial Regularity

Communications on pure and applied mathematics, 2016-09, Vol.69 (9), p.1613-1670

2016

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Anomalous Dissipation for the Forced 3D Navier–Stokes Equations

Communications in mathematical physics, 2023-06, Vol.400 (3), p.1507-1533

2023

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Global Ill-Posedness of the Isentropic System of Gas Dynamics

Communications on pure and applied mathematics, 2015-07, Vol.68 (7), p.1157-1190

2015

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Regularity of area minimizing currents mod p

Geometric and functional analysis, 2020-10, Vol.30 (5), p.1224-1336

2020

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Smoothing does not give a selection principle for transport equations with bounded autonomous fields

Annales mathématiques du Québec, 2022-04, Vol.46 (1), p.27-39

2022

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On Admissibility Criteria for Weak Solutions of the Euler Equations

Archive for rational mechanics and analysis, 2010-01, Vol.195 (1), p.225-260

2010

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Area‐Minimizing Currents mod 2Q: Linear Regularity Theory

Communications on pure and applied mathematics, 2022-01, Vol.75 (1), p.83-127

2022

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Almost-Schur lemma

Calculus of variations and partial differential equations, 2012-03, Vol.43 (3-4), p.347-354

2012

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Q-valued functions revisited

Memoirs of the American Mathematical Society, 2011-05, Vol.211 (991)

2011

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Regularity of area minimizing currents II: center manifold

Annals of mathematics, 2016-03, Vol.183 (2), p.499-575

2016

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Regularity of area minimizing currents III: blow-up

Annals of mathematics, 2016-03, Vol.183 (2), p.577-617

2016

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A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws

Archive for rational mechanics and analysis, 2023-12, Vol.247 (6), p.106, Article 106

2023

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Density lower bound estimates for local minimizers of the 2d Mumford–Shah energy

Manuscripta mathematica, 2013-09, Vol.142 (1-2), p.215-232

2013

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The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System

Communications on pure and applied mathematics, 2020-03, Vol.73 (3), p.609-663

2020

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Sharp upper bounds for a variational problem with singular perturbation

Mathematische annalen, 2007-05, Vol.338 (1), p.119-146

2007

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Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations

Communications in mathematical physics, 2018-09, Vol.362 (2), p.659-688

2018

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Estimates and regularity results for the DiPerna-Lions flow

Journal für die reine und angewandte Mathematik, 2008-03, Vol.2008 (616), p.15-46

2008

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Min-max theory for minimal hypersurfaces with boundary

Annales de l'Institut Fourier, 2018, Vol.68 (5), p.1909-1986

2018

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Onsager's Conjecture for Admissible Weak Solutions

Communications on pure and applied mathematics, 2019-02, Vol.72 (2), p.229-274

2019

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The Euler equations as a differential inclusion

Annals of mathematics, 2009-11, Vol.170 (3), p.1417-1436

2009

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Structure of entropy solutions for multi-dimensional scalar conservation laws

Archive for rational mechanics and analysis, 2003-11, Vol.170 (2), p.137-184

2003

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Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents

Communications on pure and applied mathematics, 2017-07, Vol.70 (7), p.1402-1421

2017

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Anomalous dissipation for 1/5-Hölder Euler flows

Annals of mathematics, 2015-07, Vol.182 (1), p.127-172

2015

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Dissipative continuous Euler flows

Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves

Dissipative Euler Flows with Onsager-Critical Spatial Regularity

Anomalous Dissipation for the Forced 3D Navier–Stokes Equations

Global Ill-Posedness of the Isentropic System of Gas Dynamics

Regularity of area minimizing currents mod p

Smoothing does not give a selection principle for transport equations with bounded autonomous fields

On Admissibility Criteria for Weak Solutions of the Euler Equations

Area‐Minimizing Currents mod 2Q: Linear Regularity Theory

Almost-Schur lemma

Q-valued functions revisited

Regularity of area minimizing currents II: center manifold

Regularity of area minimizing currents III: blow-up

A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws

Density lower bound estimates for local minimizers of the 2d Mumford–Shah energy

The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System

Sharp upper bounds for a variational problem with singular perturbation

Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations

Estimates and regularity results for the DiPerna-Lions flow

Min-max theory for minimal hypersurfaces with boundary

Onsager's Conjecture for Admissible Weak Solutions

The Euler equations as a differential inclusion

Structure of entropy solutions for multi-dimensional scalar conservation laws

Uniqueness of Tangent Cones for Two‐Dimensional Almost‐Minimizing Currents

Anomalous dissipation for 1/5-Hölder Euler flows

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