讲座主题:On the Boltzmann equation without angular cutoff: Existence, uniqueness and sharp regularization effect
专家姓名:何凌冰
工作单位:清华大学
讲座时间:2025年06月13日 10:00-12:00
讲座地点:腾讯会议,会议号:200980672
主办单位:99精品视频在线观看数学与信息科学学院
内容摘要:
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.
主讲人介绍:
何凌冰,清华大学数学系教授、博士生导师,博士毕业于中科院,主要研究动理学方程与流体力学方程组。研究成果先后发表在J. Eur. Math. Soc., Ann. Sci. ?c. Norm. Supér., Ann. PDE, Comm. Math. Phys., Arch. Ration. Mech. Anal., Math. Ann., SIAM J. Math. Anal.等国际主流数学杂志发表论文40余篇。