题目：Acoustic Limit of the Boltzmann Equation with an Incoming Boundary Condition on a Moving Boundary

报告人：江宁教授（武汉大学）

报告时间地点：2026年11月3日上午11:00-12:00，数玩偶姐姐 207

摘要：We study the acoustic limit of the Boltzmann equation in a periodic half-space with an incoming boundary condition on a boundary moving with arbitrary normal velocity. Knudsen-layer solvability yields a complete classification of the limiting boundary conditions in seven velocity regimes, including a permeable pressure-jump condition at a stationary boundary. A microscopic flux identity determines the signs of the resulting jump coefficients and establishes acoustic energy dissipation and well-posedness. At the critical amplitude \delta_\varepsilon=O(\sqrt{\varepsilon}), we justify the limit for renormalized solutions throughout the cutoff range -3<\gamma<=1, using a new quantitative boundary nonconcentration estimate.

报告人简介：

江宁，武汉大学数学与统计玩偶姐姐 教授，博士生导师。本科毕业于南京大学数学系，硕士毕业于中科院数学所（导师为丁伟岳院士），博士毕业于美国马里兰大学（导师为C. D. Levermore教授）。江宁教授致力于动理学方程及其流体极限、液晶方程以及生物数学中非线性方程的研究。已在Comm. Pure Appl. Math., Arch. Ration. Mech. Anal., Comm. Math. Phys., JMPA, CPDE, JFA等国际一流杂志发表60篇文章。