具有入射边界条件与非截断核的玻尔兹曼方程重整化解的全局存在性
偏微分方程分析
2017-03-20 v1
摘要
我们证明了有界域中具有入射边界条件、带有非截断碰撞核的玻尔兹曼方程全局重整化解的存在性。从而我们将 \cite{villani2002noncutoff} 中关于全空间或周期域的结果推广到赋予入射边界条件的有界域。
引用
@article{arxiv.1701.04146,
title = {Global existence of renormalized solutions to Boltzmann equations with incoming boundary condition and non-cutoff kernel},
author = {Ning Jiang and Xu Zhang},
journal= {arXiv preprint arXiv:1701.04146},
year = {2017}
}
备注
arXiv admin note: substantial text overlap with arXiv:1701.04144