经典解对修改 Vlasov-Poisson-Boltzmann 系统扩散极限的最优收敛率
偏微分方程分析
2026-05-11 v2
摘要
本文研究了经典解对修改 Vlasov-Poisson-Boltzmann (mVPB) 系统扩散极限的问题，初始数据接近全局 Maxwellian。基于谱分析，我们证明了 mVPB 系统全局强解收敛至不可压 Navier-Stokes-Poisson-Fourier 系统的解，并在初始层的精确估计下建立了收敛率。
引用
@article{arxiv.2604.13641,
title = {Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the modified Vlasov-Poisson-Boltzmann System},
author = {Yanchao Li and Mingying Zhong},
journal= {arXiv preprint arXiv:2604.13641},
year = {2026}
}
备注
arXiv admin note: text overlap with arXiv:2007.01461, arXiv:2504.21729, arXiv:2404.18389