81 citations · 438 across the 34 of their papers we have counts for
39 papers
On the non-existence of trapped surfaces under low-regularity bounds
Jonathan Luk, Georgios Moschidis
The emergence of trapped surfaces in solutions to the Einstein field equations is intimately tied to the well-posedness properties of the corresponding Cauchy problem in the low re…
A scattering theory approach to Cauchy horizon instability and applications to mass inflation
Jonathan Luk, Sung-Jin Oh, Yakov Shlapentokh-Rothman
Motivated by the strong cosmic censorship conjecture, we study the linear scalar wave equation in the interior of subextremal strictly charged Reissner-Nordström black holes by ana…
Phase mixing for solutions to 1D transport equation in a confining potential
Sanchit Chaturvedi, Jonathan Luk
Consider the linear transport equation in D under an external confining potential : \begin{equation*} \partial_t f + v \partial_x f - \partial_x Φ\partial_v f = 0. \end{equat…
Global nonlinear stability of large dispersive solutions to the Einstein equations
Jonathan Luk, Sung-Jin Oh
We extend the monumental result of Christodoulou-Klainerman on the global nonlinear stability of the Minkowski spacetime to the global nonlinear stability of a class of large dispe…
The stability of simple plane-symmetric shock formation for 3D compressible Euler flow with vorticity and entropy
Jonathan Luk, Jared Speck
Consider a D simple small-amplitude solution to the isentropic compressible Euler equations which has smooth initial data, coincides with a constant s…
Nonlinear interaction of three impulsive gravitational waves II: the wave estimates
Jonathan Luk, Maxime Van de Moortel
This is the second and last paper of a series aimed at solving the local Cauchy problem for polarized symmetric solutions to the Einstein vacuum equations featuring…