3 citations · 4 across the 7 of their papers we have counts for
7 papers
Stability of the Minkowski spacetime in Newman-Unti gauge
Jonathan Luk, Sung-Jin Oh, Claude Warnick
We prove small-data global stability of the Minkowski solution to Einstein's equations in a centre-normalised outgoing null-geodesic gauge. Our scheme involves first using the $r^p…
Late-time tail for a scalar quasilinear wave equation satisfying the weak null condition
Jonathan Luk, Sung-Jin Oh, Dongxiao Yu
We consider a class of scalar quasilinear wave equations in three spatial dimensions satisfying the weak null condition. For solutions arising from small, localized, smooth data, w…
Integral formulas for under/overdetermined differential operators via recovery on curves and the finite-dimensional cokernel condition I: General theory
Philip Isett, Yuchen Mao, Sung-Jin Oh +1
We introduce a new versatile method for constructing solution operators (i.e., right-inverses up to a finite rank operator) for a wide class of underdetermined PDEs , whic…
Stability of the 3-dimensional catenoid for the hyperbolic vanishing mean curvature equation
Sung-Jin Oh, Sohrab Shahshahani
We prove that the -dimensional catenoid is asymptotically stable as a solution to the hyperbolic vanishing mean curvature equation in Minkowski space, modulo suitable translatio…
Blow-up dynamics for radial self-dual Chern-Simons-Schrödinger equation with prescribed asymptotic profile
Kihyun Kim, Soonsik Kwon, Sung-Jin Oh
We construct finite energy blow-up solutions for the radial self-dual Chern-Simons-Schrödinger equation with a continuum of blow-up rates. Our result stands in stark contrast to th…
Beale--Kato--Majda-type continuation criteria for Hall- and electron-magnetohydrodynamics
Mimi Dai, Sung-Jin Oh
We show that regular solutions to electron-MHD with resistivity can be continued as long as the time integral of the supremum of the current gradient remains finite. This dimension…
Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions
Jonathan Luk, Sung-Jin Oh
We introduce a general method for understanding the late time tail for solutions to wave equations on asymptotically flat spacetimes with odd space dimensions. In particular, for a…