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math.AP2026
A log-log upper bound on blow-up rates for the mass-critical half-wave equation
Taegyu Kim, Soonsik Kwon, Jeongheon Park
We study finite-time blow-up for the one-dimensional focusing mass-critical half-wave equation \begin{equation*} i\partial_tu=|D|u-|u|^2u. \end{equation*} For even initial data wit…
math.AP2026
A universal bound on the blow-up rate for the focusing mass-critical nonlinear Schrödinger equation
Beomjong Kwak, Soonsik Kwon
In this paper, we investigate a universal blow-up bound for the focusing mass-critical nonlinear Schrödinger equation for general initial data in , extending prev…
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…