From the 1 of 6 linked papers with an AI index.
6 papers
A log-log upper bound on blow-up rates for the mass-critical half-wave equation
Taegyu Kim, Soonsik Kwon, Jeongheon Park
The paper proves a log‑log upper bound on the blow‑up rate for the one‑dimensional focusing mass‑critical half‑wave equation, constructing a new almost self‑similar profile to hand…
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 structure…
Soliton resolution for Calogero--Moser derivative nonlinear Schrödinger equation
Taegyu Kim, Soonsik Kwon
We consider soliton resolution for the Calogero--Moser derivative nonlinear Schrödinger equation (CM-DNLS). A rigorous PDE analysis of (CM-DNLS) was recently initiated by Gérard…
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…
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-dual…
Blow-up construction and instability for mass-critical half-wave equation with slightly superthreshold mass
Jeongheon Park, Soonsik Kwon, Taegyu Kim
We study the blow-up dynamics for the -critical focusing half-wave equation on the real line, a nonlocal dispersive PDE arising in various physical models. As in other mass-cr…