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math.AP2024
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…
math.AP2024
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…
math.AP2024★ 1 cited
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…