论文标题

通过反功率定律电势相互作用的量子玻尔兹曼方程的全球量良好

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

论文作者

Zhou, Yu-Long

论文摘要

我们考虑具有奇异碰撞内核的玻色子的空间不均匀量子玻尔兹曼方程,这是通过反功率定律相互作用的大型Bose-Einstein颗粒系统的弱耦合极限。相应的库奇问题的全球适应性在均衡的预峰框中证明了满足高温条件的初始数据。

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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