The Fokker–Planck–Boltzmann equation in the finite channel
2024; American Institute of Physics; Volume: 65; Issue: 2 Linguagem: Inglês
10.1063/5.0185948
ISSN1527-2427
AutoresYuanjie Lei, Jing Zhang, Xueying Zhang,
Tópico(s)Thermal properties of materials
ResumoIn this paper, we establish the existence of small-amplitude unique solutions near the Maxwellian for the Fokker–Planck–Boltzmann equation in a finite channel with specular reflection boundary conditions. The solution space we consider is denoted as Lk̄1LT∞Lx1,v2, introduced in Duan et al. [Commun. Pure Appl. Math. 74(5), 932–1020 (2021)]. In addition, we investigate the long-time behavior of solutions for both hard and soft potentials.
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