报告题目：Singularity formation for radially symmetric expanding wave of Compressible Euler Equations
报 告 人： 王天怡 教授
工作单位： 武汉理工大学
报告时间： 2022-11-22(周二) 8:30-11:30
腾讯会议ID： 794 364 7383
报告摘要：In this talk, for compressible Euler equations in multiple space dimensions, we prove the break-down of classical solutions with a large class of initial data by tracking the propagation of radially symmetric expanding wave including compression. The singularity formation considered is corresponding to the finite time shock formation. We also provide some new global sup-norm estimates on velocity and density functions for classical solutions, and construct the corresponding classical solutions. All results in this paper have no restriction on the size of solutions, hence are large data results. These are the joint work with Hong Cai and Geng Chen.
报告人简介：王天怡，武汉理工大学理学院数学系，教授。2014年在中国科学院数学与系统科学研究院获得理学博士学位。在博士阶段受国家留学基金委的资助，到英国牛津大学开展联合培养。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，Archive for Rational Mechanics and Analysis等。主持国家自然科学基金项目2项，入选国家高层次青年人才。
