J. Luk

发表

Strichartz Estimates and Moment Bounds for the Relativistic Vlasov–Maxwell System

Robert M. Strain, J. Luk, 2014, 1406.0168.

A New Continuation Criterion for the Relativistic Vlasov–Maxwell System

Robert M. Strain, J. Luk, 2014, 1406.0165.

Stability of Vacuum for the Landau Equation with Moderately Soft Potentials

J. Luk, 2018, Annals of PDE.

Shock formation in solutions to the 2D compressible Euler equations in the presence of non-zero vorticity

Jared Speck, J. Luk, 2016, Inventiones mathematicae.

Strong Cosmic Censorship in Spherical Symmetry for Two-Ended Asymptotically Flat Initial Data II: The Exterior of the Black Hole Region

J. Luk, Sung-Jin Oh, 2017, Annals of PDE.

Proof of linear instability of the Reissner–Nordström Cauchy horizon under scalar perturbations

J. Luk, Sung-Jin Oh, 2015, 1501.04598.

Quantitative decay rates for dispersive solutions to the Einstein-scalar field system in spherical symmetry

J. Luk, Sung-Jin Oh, 2014, 1402.2984.

Local Propagation of Impulsive GravitationalWaves

I. Rodnianski, J. Luk, 2012, 1209.1130.

JONATHAN LUK A VECTOR FIELD METHOD APPROACH TO IMPROVED DECAY FOR SOLUTIONS TO THE WAVE EQUATION ON A SLOWLY ROTATING KERR BLACK HOLE

J. Luk, 2012 .

Linear and nonlinear wave equations on black hole spacetimes

J. Luk, 2012 .

Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations

I. Rodnianski, J. Luk, 2013, 1301.1072.

Asymptotically Kasner-like singularities

J. Luk, G. Fournodavlos, 2020, American Journal of Mathematics.

Improved Decay for Solutions to the Linear Wave Equation on a Schwarzschild Black Hole

J. Luk, 2009, 0906.5588.

The hidden null structure of the compressible Euler equations and a prelude to applications

Jared Speck, J. Luk, 2016, Journal of Hyperbolic Differential Equations.

A Scattering Theory Approach to Cauchy Horizon Instability and Applications to Mass Inflation

J. Luk, Sung-Jin Oh, Yakov Shlapentokh-Rothman, 2022, Annales Henri Poincaré.

Strong Cosmic Censorship in Spherical Symmetry for Two-Ended Asymptotically Flat Initial Data II: The Exterior of the Black Hole Region

J. Luk, Sung-Jin Oh, 2017, Annals of PDE.

The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon

J. Luk, Mihalis Dafermos, 2017, 1710.01722.

Trapped surfaces in vacuum arising dynamically from mild incoming radiation

Xinliang An, J. Luk, 2014, 1409.6270.

On the Local Existence for the Characteristic Initial Value Problem in General Relativity

J. Luk, 2011, 1107.0898.

The Null Condition and Global Existence for Nonlinear Wave Equations on Slowly Rotating Kerr Spacetimes

J. Luk, 2010, 1009.4109.

Instability results for the wave equation in the interior of Kerr black holes

J. Luk, Jan Sbierski, 2015, 1512.08259.

Weak null singularities in general relativity

J. Luk, 2013, 1311.4970.

A Vector Field Method Approach to Improved Decay for Solutions to the Wave Equation on a Slowly Rotating Kerr Black Hole

J. Luk, 2010, 1009.0671.

Phase mixing for solutions to 1D transport equation in a confining potential

Jonathan Luk, Sanchit Chaturvedi, J. Luk, 2021, Kinetic & Related Models.

Solutions to the Einstein-Scalar-Field System in Spherical Symmetry with Large Bounded Variation Norms

J. Luk, Shiwu Yang, Sung-Jin Oh, 2016, 1605.03893.

On the non-existence of trapped surfaces under low-regularity bounds

J. Luk, Georgios Moschidis, 2022, 2204.09855.

The interior of dynamical extremal black holes in spherical symmetry

J. Luk, D. Gajic, 2017, Pure and Applied Analysis.

Global Nonlinear Stability of Large Dispersive Solutions to the Einstein Equations

J. Luk, Sung-Jin Oh, 2021, Annales Henri Poincaré.

The stability of simple plane-symmetric shock formation for 3D compressible Euler flow with vorticity and entropy

Jared Speck, J. Luk, 2021, 2107.03426.

A New Continuation Criterion for the Relativistic Vlasov–Maxwell System

Robert M. Strain, J. Luk, 2014, Communications in Mathematical Physics.

A fully anisotropic mechanism for formation of trapped surfaces in vacuum

S. Klainerman, I. Rodnianski, J. Luk, 2013, 1302.5951.

INTRODUCTION TO NONLINEAR WAVE EQUATIONS

J. Luk, 2015 .

0 Ju n 20 09 Improved decay for solutions to the linear wave equation on a Schwarzschild black hole

J. Luk, 2009 .

Stable Shock Formation for Nearly Simple Outgoing Plane Symmetric Waves

Jared Speck, J. Luk, G. Holzegel, 2016, 1601.01303.

Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space

J. Luk, Jacques Smulevici, G. Holzegel, 2015, Communications in mathematical physics.

High-frequency limits and null dust shell solutions in general relativity.

I. Rodnianski, J. Luk, 2020, 2009.08968.

Trilinear compensated compactness and Burnett's conjecture in general relativity

J. Luk, Cécile Huneau, 2019, 1907.10743.

High-frequency backreaction for the Einstein equations under polarized U(1)-symmetry

J. Luk, Cécile Huneau, 2017, Duke Mathematical Journal.

Einstein Equations Under Polarized $${\mathbb{U}}$$U(1) Symmetry in an Elliptic Gauge

J. Luk, Cécile Huneau, 2017, Communications in Mathematical Physics.

Stable shock formation for nearly plane symmetric waves

Jared Speck, J. Luk, G. Holzegel, 2016 .

Nonlinear Interaction of Three Impulsive Gravitational Waves II: The Wave Estimates

Jonathan Luk, Maxime Van de Moortel, J. Luk, 2021, Annals of PDE.

On the non-existence of trapped surfaces under low-regularity bounds

J. Luk, Georgios Moschidis, 2022, 2204.09855.

Solutions to the Einstein-Scalar-Field System in Spherical Symmetry with Large Bounded Variation Norms

J. Luk, Shiwu Yang, Sung-Jin Oh, 2017, Annals of PDE.