报告主题: Hydrodynamic and Newtonian Limits of Boltzmann Equation
报 告 人: 王勇研究员(中科院数学与系统科学研究院)
报告时间: 2024年5月28日(星期二)上午9:00-10:00
报告地点:腾讯会议718-696-276
邀 请 人: 周富军教授
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数学学院
2024年 5月22日
报告摘要:
The hydrodynamic limit and Newtonian limit are important in kinetic theory. For the classical Boltzmann equation, I will show you some results on the hydrodynamic limit of Boltzmann with physical boundary, which are achieved by Hilbert expansion with multi-scales. For the relativistic Boltzmann equation, 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 $\mathfrak{c}$.
报告人介绍:
王勇,现任中科院数学与系统科学研究院研究员,主要研究可压缩Euler方程、可压缩Navier-Stokes方程、Boltzmann方程等方程的适定性和流体动力学极限,主要学术论文发表在 Comm. Pure Appl. Math., Comm. Math.Phys., Adv. Math., Arch. Ration. Mech. Anal., SIAM J. Math. Anal.等刊物上。曾获得国家自然科学基金委员会优秀青年科学基金的资助。