bat365官网登录入口学术报告[2023] 102号

(高水平大学建设系列报告874号)

报告题目:Hydrodynamic limit and Newtonian limit from the relativistic Boltzmann equation to the classical Euler equations

报告人：肖长国 博士（广西师范大学）

报告时间：2023年12月21日下午3：00-3：50

讲座地点：汇星楼514

报告内容：We justify rigorously the validity of the two independent limits from the special relativistic Boltzmann equation to the classical Euler equations without assuming any dependence between the Knudsen number$\varepsilon$ and the light speed $\mathfrak{c}$. The convergence rates are also obtained. This is achieved by Hilbert expansion of relativistic Boltzmann equation. New difficulties arise when tacking the uniform in $\mathfrak{c}$ and $\varepsilon$ estimates for the Hilbert expansion, which have been overcome by establishing some uniform-in-$\mathfrak{c}$ estimates for relativistic Boltzmann operators.

报告人简介：肖长国，2013年博士毕业于复旦大学，现工作于广西师范大学数学与统计学院，主要研究Boltzmann方程的适定性和流体动力学极限，流体力学中的偏微分方程，近年来在 J. Math. Fluid Mech.、Electronic Journal of Differential Equations、Z. Angew. Math. Phys.、Kinet. Relat.Models等期刊发表学术论文多篇。

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2023年12月18日