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arXiv · 1605.07890

Uniform in time lower bound for solutions to a quantum Boltzmann equation of bosons

Toan T. Nguyen·Minh-Binh Tran
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Abstract

We consider the quantum Boltzmann equation, which describes the growth of the condensate, or in other words, models the interaction between excited atoms and a condensate. In this work, the full form of Bogoliubov dispersion law is considered, which leads to a detailed study of surface integrals inside the collision operator on energy manifolds. We prove that positive radial solutions of the quantum Boltzmann equation are bounded from below by a Gaussian, uniformly in time.

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Toan T. Nguyen, Minh-Binh Tran. 2016-05-25. Uniform in time lower bound for solutions to a quantum Boltzmann equation of bosons. https://arxiv.org/abs/1605.07890

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