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math.AP2025
Convergence and non-convergence to Bose-Einstein condensation
Shuzhe Cai, Xuguang Lu
The paper is a continuation of our previous work on the strong convergence to equilibrium for the spatially homogeneous Boltzmann equation for Bose-Einstein particles for isotropic…
math.AP2025
The Spatially Homogeneous Boltzmann Equation for Bose-Einstein Particles: Rate of Strong Convergence to Equilibrium
Shuzhe Cai, Xuguang Lu
The paper is a continuation of our previous work on the spatially homogeneous Boltzmann equation for Bose-Einstein particles with quantum collision kernel that includes the hard sp…
math.AP2024
Propagation of Chaos for 2D Log Gas on the Whole Space
Shuzhe Cai, Xuanrui Feng, Yun Gong +1
We derive the quantitative propagation of chaos in the sense of relative entropy for the first time for the 2D Log gas or the weakly interacting particle systems with 2D Coulomb in…