Subcritical relaxation alone forces finite-time Bose–Einstein condensation, without assuming that the initial state is already concentrated near zero energy.

Submitted 1 September 2026 arXiv:2609.01436 [math.AP] 28 pages

A tail-adapted no-gelation mechanism that absorbs large–large moment production through a bounded-mass particle reservoir, with the decisive factor $L^{\gamma-1}$, yielding global solutions from the physical moments alone.

Submitted 27 July 2026 arXiv:2607.25112 [math.AP] 40 pages · 2 figures · 1 table

Global and local Cauchy theories for the spatially homogeneous Boltzmann equation with continuous mass exchange, based on a new two-stage bootstrap without detailed-balance or entropy structures.

Submitted 22 July 2026 arXiv:2607.20684 [math.AP] 53 pages