3 citations · 4 across the 7 of their papers we have counts for
5 papers · 1 filter
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…