講座主題：On the Boltzmann equation without angular cutoff: Existence, uniqueness and sharp regularization effect
專(zhuān)家姓名：何凌冰
工作單位：清華大學(xué)
講座時(shí)間：2025年06月13日 10:00-12:00
講座地點(diǎn)：騰訊會(huì)議，會(huì)議號(hào)：200980672
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
We consider the well-posedness, regularity issue and global dynamics for the spatially inhomogeneous Boltzmann equation without angular cutoff. For given initial datum verifying that its mass, energy and entropy densities remain bounded and away from vacuum, we establish the existence, uniqueness and sharp smoothing estimates of solution in Sobolev space, analytic space or Gevrey space.
主講人介紹：
何凌冰，清華大學(xué)數(shù)學(xué)系教授、博士生導(dǎo)師，博士畢業(yè)于中科院，主要研究動(dòng)理學(xué)方程與流體力學(xué)方程組。研究成果先后發(fā)表在J. Eur. Math. Soc., Ann. Sci. éc. Norm. Supér., Ann. PDE, Comm. Math. Phys., Arch. Ration. Mech. Anal., Math. Ann., SIAM J. Math. Anal.等國(guó)際主流數(shù)學(xué)雜志發(fā)表論文40余篇。
