8 citations · 20 across the 7 of their papers we have counts for
10 papers · 1 filter
Gradient blow-up for dispersive and dissipative perturbations of the Burgers equation
Sung-Jin Oh, Federico Pasqualotto
We consider a class of dispersive and dissipative perturbations of the inviscid Burgers equation, which includes the fractional KdV equation of order , and the fractal Burgers e…
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane Under the Schrödinger Maps Evolution
Andrew Lawrie, Jonas Lührmann, Sung-Jin Oh +1
We consider the Cauchy problem for the Schrödinger maps evolution when the domain is the hyperbolic plane. An interesting feature of this problem compared to the more widely studie…
On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: illposedness near degenerate stationary solutions
In-Jee Jeong, Sung-Jin Oh
In this article, we prove various illposedness results for the Cauchy problem for the incompressible Hall- and electron-magnetohydrodynamic (MHD) equations without resistivity. The…
Local smoothing estimates for Schrödinger equations on hyperbolic space
Andrew Lawrie, Jonas Luhrmann, Sung-Jin Oh +1
We establish global-in-time frequency localized local smoothing estimates for Schrödinger equations on hyperbolic space . In the presence of symmetric first and zerot…
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…
Equivariant Wave Maps on the Hyperbolic Plane with Large Energy
Andrew Lawrie, Sung-Jin Oh, Sohrab Shahshahani
In this paper we continue the analysis of equivariant wave maps from 2-dimensional hyperbolic space into surfaces of revolution that was initiated in [13, 14]. When the target is t…