Jaegue Hwang

Fixed-harmonic angular-thickness spectrum of collapsing-tube Type-II blow-up

This work studies angular-thickness perturbations of the collapsing-tube Type-II blow-up solution for the energy-supercritical semilinear heat equationu_t = Δu + u³, n ≥ 5.The collapsing-tube solution concentrates along an (n−4)-dimensional sphere shrinking at the parabolic scale...

Tail-Driven Multi-Bubble Dynamics for the 2-Equivariant Harmonic-Map Heat Flow

We study the late-time dynamics of global finite-energy 2-equivariant harmonic-map heat flow from R² to S². Building on the continuous multi-bubble decomposition of Jendrej–Lawrie and a preceding scalar-sign rigidity and bubble-number selection result, we establish a triangular a...