williamhill官网学术报告

--- 分析、偏微分方程与动力系统讨论班(2025秋季第14讲)

Time-asymptotic expansion and fluid approximation of the 1D Boltzmann equation with hard potentials

王海涛 (上海交通大学)

时间：12月4日（周四）下午14:30-15:30

地点：#腾讯会议：240-475-915     #会议密码：251204

#会议链接：https://meeting.tencent.com/dm/rsMRr38KpU0u

摘要: We investigate the quantitative pointwise behavior of solutions to the one-dimensional (1D) Boltzmann equation for hard potentials and Maxwellian molecules. Our study pursues two main objectives. First, we characterize the time-asymptotic hierarchical structure of solutions. Second, we establish the asymptotic equivalence between solutions of the 1D Boltzmann equation and the 1D compressible Navier-Stokes equations. Unlike prior works in the multi-dimensional case, where comparison of linear solutions suffices, our approach extracts the leading nonlinear fluid waves from the 1D Boltzmann equation and directly compares them with solutions of the nonlinear Navier-Stokes system.

邀请人：徐丽

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