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20232026
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math.AP2026

Stable soliton resolution for the corotational Skyrme model

Uihyeon Jeong

We study the classical Skyrme model. Under corotational symmetry, we prove that (i) stationary solutions, or Skyrmions, are unique in every topological degree; (ii) the Cauchy prob…

math.AP2026

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…

math.AP2026

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…

math.AP2024

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,…

math.AP2023

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…