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Honeycomb Schrödinger Operators in the Strong Binding Regime

Communications on pure and applied mathematics, 2018-06, Vol.71 (6), p.1178-1270

2018

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Local Existence for the Non-Resistive MHD Equations in Nearly Optimal Sobolev Spaces

Archive for rational mechanics and analysis, 2017-02, Vol.223 (2), p.677-691

2017

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Topologically protected states in one-dimensional continuous systems and Dirac points

Proceedings of the National Academy of Sciences - PNAS, 2014-06, Vol.111 (24), p.8759-8763

2014

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Partial Differential Equations in Fluid Mechanics

1, 2018

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No-splash theorems for fluid interfaces

Proceedings of the National Academy of Sciences - PNAS, 2014-01, Vol.111 (2), p.573-574

Fefferman, Charles L.

2014

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Honeycomb lattice potentials and Dirac points

Journal of the American Mathematical Society, 2012-10, Vol.25 (4), p.1169-1220

2012

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Splash singularity for water waves

Proceedings of the National Academy of Sciences - PNAS, 2012-01, Vol.109 (3), p.733-738

2012

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Discrete honeycombs, rational edges, and edge states

Communications on pure and applied mathematics, 2024-03, Vol.77 (3), p.1575-1634

2024

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Turning waves and breakdown for incompressible flows

Proceedings of the National Academy of Sciences - PNAS, 2011-03, Vol.108 (12), p.4754-4759

2011

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Non-conservation of Dimension in Divergence-Free Solutions of Passive and Active Scalar Systems

Archive for rational mechanics and analysis, 2021-12, Vol.242 (3), p.1445-1478, Article 1445

2021

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Sobolev extension by linear operators

Journal of the American Mathematical Society, 2014-01, Vol.27 (1), p.69-145

2014

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Optimal control with learning on the fly: a toy problem

Revista matemática iberoamericana, 2022-01, Vol.38 (1), p.175-187

2022

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A Sharp Form of Whitney's Extension Theorem

Annals of mathematics, 2005-01, Vol.161 (1), p.509-577

Fefferman, Charles L.

2005

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Construction of Almost-Sharp Fronts for the Surface Quasi-Geostrophic Equation

Archive for rational mechanics and analysis, 2015-10, Vol.218 (1), p.123-162

2015

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Wave Packets in Honeycomb Structures and Two-Dimensional Dirac Equations

Communications in mathematical physics, 2014-11, Vol.326 (1), p.251-286

2014

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Higher order commutator estimates and local existence for the non-resistive MHD equations and related models

Journal of functional analysis, 2014-08, Vol.267 (4), p.1035-1056

2014

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Simultaneous approximation in Lebesgue and Sobolev norms via eigenspaces

Proceedings of the London Mathematical Society, 2022-10, Vol.125 (4), p.759-777

2022

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Edge states in rationally terminated honeycomb structures

Proceedings of the National Academy of Sciences - PNAS, 2022-11, Vol.119 (47), p.e2212310119-e2212310119

2022

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Evidence of Singularities for a Family of Contour Dynamics Equations

Proceedings of the National Academy of Sciences - PNAS, 2005-04, Vol.102 (17), p.5949-5952

2005

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Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces

Proceedings of the National Academy of Sciences - PNAS, 2009-07, Vol.106 (27), p.10955-10959

2009

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The Vortex Patch Problem for the Surface Quasi-Geostrophic Equation

Proceedings of the National Academy of Sciences - PNAS, 2004-03, Vol.101 (9), p.2684-2686

2004

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Hölder estimates on domains of complex dimension two and on three dimensional CR manifolds

Advances in mathematics (New York. 1965), 1988, Vol.69 (2), p.223-303

1988

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Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains

Annals of mathematics, 1976-05, Vol.103 (3), p.395-416

Fefferman, Charles L.

1976

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Asymptotic neutrality of large ions

Communications in mathematical physics, 1990-03, Vol.128 (1), p.109-130

1990

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Weak-Strong Uniqueness in Fluid Dynamics

Partial Differential Equations in Fluid Mechanics, 2018, Vol.Series Number 452, p.289-326

2018

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Honeycomb Schrödinger Operators in the Strong Binding Regime

Local Existence for the Non-Resistive MHD Equations in Nearly Optimal Sobolev Spaces

Topologically protected states in one-dimensional continuous systems and Dirac points

Partial Differential Equations in Fluid Mechanics

No-splash theorems for fluid interfaces

Honeycomb lattice potentials and Dirac points

Splash singularity for water waves

Discrete honeycombs, rational edges, and edge states

Turning waves and breakdown for incompressible flows

Non-conservation of Dimension in Divergence-Free Solutions of Passive and Active Scalar Systems

Sobolev extension by linear operators

Optimal control with learning on the fly: a toy problem

A Sharp Form of Whitney's Extension Theorem

Construction of Almost-Sharp Fronts for the Surface Quasi-Geostrophic Equation

Wave Packets in Honeycomb Structures and Two-Dimensional Dirac Equations

Higher order commutator estimates and local existence for the non-resistive MHD equations and related models

Simultaneous approximation in Lebesgue and Sobolev norms via eigenspaces

Edge states in rationally terminated honeycomb structures

Evidence of Singularities for a Family of Contour Dynamics Equations

Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces

The Vortex Patch Problem for the Surface Quasi-Geostrophic Equation

Hölder estimates on domains of complex dimension two and on three dimensional CR manifolds

Monge-Ampere Equations, the Bergman Kernel, and Geometry of Pseudoconvex Domains

Asymptotic neutrality of large ions

Weak-Strong Uniqueness in Fluid Dynamics

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