Diffusive Limit of the Vlasov-Poisson-Boltzmann System without Angular Cutoff

التفاصيل البيبلوغرافية
العنوان: Diffusive Limit of the Vlasov-Poisson-Boltzmann System without Angular Cutoff
المؤلفون: Xu, Yuan, Zhou, Fujun, Li, Yongsheng
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, 35Q20, 35Q83
الوصف: Diffusive limit of the Vlasov-Poisson-Boltzmann system without angular cutoff in the framework of perturbation around global Maxwellian still remains open. By employing the weighted energy method with a newly introduced weight function $w_l(\alpha,\beta)$ and some novel treatments, we solve this problem for the full range of non-cutoff potentials $\gamma>-3$ and $0-3$ and $0Comment: 60 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2312.16588
رقم الأكسشن: edsarx.2312.16588
قاعدة البيانات: arXiv