Mingying Zhong, Hai-Liang Li
Abstract
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In the present paper, we consider the initial value problem for the Fokker-Planck-Boltzmann equation with soft potential. For initial data near an absolute Maxwellian, we show the global existence and uniqueness of the classical solution and establish its long time decay rate.
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In the present paper, we consider the initial value problem for the Fokker-Planck-Boltzmann equation with soft potential. For initial data near an absolute Maxwellian, we show the global existence and uniqueness of the classical solution and establish its long time decay rate.
Key concepts: Fokker–Planck equation, Boltzmann equation, Uniqueness, Boltzmann constant, Initial value problem, Physics, Statistical physics, Mathematics