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Classification of single-bubble blow-up solutions for Calogero--Moser derivative nonlinear Schrödinger equation
Uihyeon Jeong, Kihyun Kim, Taegyu Kim +1
We study the Calogero--Moser derivative nonlinear Schrödinger equation (CM-DNLS), a mass-critical and completely integrable dispersive model. Recent works established finite-time b…
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…
Construction of smooth chiral finite-time blow-up solutions to Calogero--Moser derivative nonlinear Schrödinger equation
Kihyun Kim, Taegyu Kim, Soonsik Kwon
We consider the Calogero--Moser derivative nonlinear Schrödinger equation (CM-DNLS), which is an -critical nonlinear Schrödinger equation with explicit solitons, self-dualit…
Rigidity of smooth finite-time blow-up for equivariant self-dual Chern-Simons-Schrödinger equation
Kihyun Kim
We consider the long time dynamics for the self-dual Chern-Simons-Schrödinger equation (CSS) within equivariant symmetry. (CSS) is a self-dual -critical equation having pseu…