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math.AP2026
Bose--Einstein Condensation without an Initial Low-Energy Concentration Assumption
Siwei Luo, Jian-Guo Liu
We prove that semi-strong convergence to a Bose--Einstein equilibrium below the critical temperature implies finite-time Bose--Einstein condensation (BEC) for conservative isotropi…
math.AP2026
No Gelation and Global Existence for a Boltzmann Equation with Regularly Varying Mass-Exchange Rates
Siwei Luo, Jian-Guo Liu
We develop a no-gelation mechanism that yields global solutions to the spatially homogeneous Boltzmann equation with mass exchange for Grad-cutoff hard potentials $B=E^γb(ξ), 0<γ<1…
math.AP2026
On the Spatially Homogeneous Boltzmann Equation with Mass Exchange
Siwei Luo, Jian-Guo Liu
We study the spatially homogeneous Boltzmann equation with continuous mass exchange on , with a Grad cut-off hard-potential collision kernel. For…