71 citations · 267 across the 38 of their papers we have counts for
8 papers · 1 filter
The Threshold Theorem for the -dimensional Yang--Mills equation: an overview of the proof
Sung-Jin Oh, Daniel Tataru
This article is devoted to the energy critical hyperbolic Yang--Mills system in the dimensional Minkowski space, which is considered by the authors in a sequence of four pa…
The hyperbolic Yang--Mills equation in the caloric gauge. Local well-posedness and control of energy dispersed solutions
Sung-Jin Oh, Daniel Tataru
This is the second part in a four-paper sequence, which establishes the Threshold Conjecture and the Soliton Bubbling vs.~Scattering Dichotomy for the hyperbolic Yang--Mills equati…
The threshold conjecture for the energy critical hyperbolic Yang--Mills equation
Sung-Jin Oh, Daniel Tataru
This article represents the fourth and final part of a four-paper sequence whose aim is to prove the Threshold Conjecture as well as the more general Dichotomy Theorem for the ener…
The hyperbolic Yang--Mills equation for connections in an arbitrary topological class
Sung-Jin Oh, Daniel Tataru
This is the third part of a four-paper sequence, which establishes the Threshold Conjecture and the Soliton-Bubbling vs.~Scattering Dichotomy for the energy critical hyperbolic Yan…
The Yang--Mills heat flow and the caloric gauge
Sung-Jin Oh, Daniel Tataru
This is the first part of the four-paper sequence, which establishes the Threshold Conjecture and the Soliton Bubbling vs.~Scattering Dichotomy for the energy critical hyperbolic Y…
Dynamical black holes with prescribed masses in spherical symmetry
Jonathan Luk, Sung-Jin Oh, Shiwu Yang
We review our recent work on a construction of spherically symmetric global solutions to the Einstein--scalar field system with large bounded variation norms and large Bondi masses…
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II. The exterior of the black hole region
Jonathan Luk, Sung-Jin Oh
This is the second and last paper of a two-part series in which we prove the -formulation of the strong cosmic censorship conjecture for the Einstein-Maxwell-(real)-scalar-fie…
Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region
Jonathan Luk, Sung-Jin Oh
This is the first and main paper of a two-part series, in which we prove the -formulation of the strong cosmic censorship conjecture for the Einstein-Maxwell-(real)-scalar-f…