4 papers
Classification for the -equivariant harmonic map heat flow and the radial energy-critical nonlinear heat equation in dimension
Uihyeon Jeong, Taegyu Kim
We consider the global dynamics of finite-energy solutions to the -equivariant harmonic map heat flow from to $\bbS^2$ and -bounded radial solutions to the en…
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…
Quantized blow-up dynamics for Calogero--Moser derivative nonlinear Schrödinger equation
Uihyeon Jeong, Taegyu Kim
We consider the Calogero--Moser derivative nonlinear Schrödinger equation (CM-DNLS), an -critical nonlinear Schrödinger type equation enjoying a number of numerous structures,…
Quantized slow blow-up dynamics for the energy-critical corotational wave maps problem
Uihyeon Jeong
We study the blow-up dynamics for the energy-critical 1-corotational wave maps problem with 2-sphere target. In arXiv:0911.0692, Raphaël and Rodnianski exhibited a stable finite ti…