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arXiv · 1306.3079

Global Existence and Decay of Solutions to the Fokker-Planck-Boltzmann Equation

Linjie Xiong·Tao Wang·Lusheng Wang
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Abstract

The Cauchy problem to the Fokker-Planck-Boltzmann equation under Grad's angular cut-off assumption is investigated. When the initial data is a small perturbation of an equilibrium state, global existence and optimal temporal decay estimates of classical solutions are established. Our analysis is based on the coercivity of the Fokker-Planck operator and an elementary weighted energy method.

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Linjie Xiong, Tao Wang, Lusheng Wang. 2013-06-13. Global Existence and Decay of Solutions to the Fokker-Planck-Boltzmann Equation. https://arxiv.org/abs/1306.3079

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