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Compressible fluid limit for smooth solutions to the Landau equation

主讲人：杨东成

摘要：In this talk, we will show the compressible Euler and acoustic limits of the Landau equation for Coulomb potentials in the whole space. Specifically, over any finite time interval where the full compressible Euler system admits a smooth solution around constant states, we construct a unique solution in a high-order weighted Sobolev space for the Landau equation with suitable initial data and also show the uniform estimates independent of the small Knudsen number $\varepsilon>0$, yielding the $O(\varepsilon)$ convergence of the Landau solution to the local Maxwellian whose fluid quantities are the given Euler solution. Moreover, the acoustic limit for smooth solutions to the Landau equation in an optimal scaling is also established. This talk is based on joint works with Renjun Duan, and Hongjun Yu.

主讲人简介：杨东成，香港中文大学数学系博士后，2020年毕业于华南师范大学。研究方向为非线性偏微分方程，研究成果发表在 Comm. Math. Phys.; Arch. Ration. Mech. Anal.;J. Differential Equations等杂志上。

邀请人：雷远杰

时间：：2022年7月13日 （星期三）16: 00-17:30

地点：腾讯会议室     ID:736 682 488