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math.AP2020
Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equation
Kihyun Kim, Soonsik Kwon, Sung-Jin Oh
We consider the finite-time blow-up dynamics of solutions to the self-dual Chern-Simons-Schrödinger (CSS) equation (also referred to as the Jackiw-Pi model) near the radial soliton…
math.AP2020★ 5 cited
Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation
Kihyun Kim, Soonsik Kwon
We consider the self-dual Chern-Simons-Schrödinger equation (CSS) under equivariance symmetry. Among others, (CSS) has a static solution and pseudoconformal symmetry. We study…
math.AP2020★ 8 cited
Low regularity well-posedness for generalized Benjamin-Ono equations on the circle
Kihyun Kim, Robert Schippa
New low regularity well-posedness results for the generalized Benjamin-Ono equations with quartic or higher nonlinearity and periodic boundary conditions are shown. We use the shor…