主讲人：王天怡

主讲人简介：王天怡，教授，博士生导师，国家级青年人才。2014年在中国科学院数学与系统科学研究院获理学博士学位（英国牛津大学联合培养），师从丁夏畦院士、黄飞敏研究员和陈贵强教授。毕业后赴香港中文大学和意大利萨索科学研究所进行博士后研究。主要研究方向：非线性偏微分方程、流体力学中的数学理论。论文发表在Advances in Mathematics，ARMA，CVPDE，SIAM，JDE等。主持国家自然科学基金项目3项。现任湖北省工业与应用数学学会理事、武汉市工业与应用数学学会理事。

报告内容概要：The vanishing pressure limit of continuous solutions isentropic Euler equations is analyzed, which is formulated as small parameter  goes to 0. Due to the characteristics being degenerated in the limiting process, the resonance may cause the mass concentration. It is shown that in the pressure vanishing process, for the isentropic Euler equations, the continuous solutions with compressive initial data converge to the mass concentration solution of pressureless Euler equations, and with rarefaction initial data converge to the continuous solutions globally.  Then, I will mention the recent progress on the hypersonic limit and Aw-Rascle traffic flow model.