finite-time blow-up 1half-wave equation 1log-log law 1mass-critical 1modulation analysis 1nonlocal operator 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2025
Melting and freezing rates of the radial interior Stefan problem in two dimension
Jeongheon Park
We consider the interior Stefan problem under radial symmetry in two dimension. A water ball surrounded by ice undergoes melting or freezing. We construct a discrete family of glob…