Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials

2022/10/16 by Yulong Zhou, Zhou, Yu-Long · 1 citation
Physics and Astronomy · Mathematics · #Cold Atom Physics and Bose-Einstein Condensates #Gas Dynamics and Kinetic Theory #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.2210.08428

Abstract

We consider the spatially inhomogeneous quantum Boltzmann equation for bosons with a singular collision kernel, the weak-coupling limit of a large system of Bose-Einstein particles interacting through inverse power law. Global well-posedness of the corresponding Cauchy problem is proved in a periodic box near equilibrium for initial data satisfying high temperature condition.

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