一、题目：Dispersive effects of the incompressible and compressible fluids
二、主讲人：张挺（浙江大学）
三、时间: 2020年11月24日（周二）下午15：00-17：00
四、线上，腾讯会议ID：768 804 229
摘要：In this talk, we consider the Cauchy problem of the N-dimensional incompressible viscoelastic fluids with $N\geq2$. It is shown that, in the low frequency part, this system possesses some dispersive properties derived from the one parameter group $e^{\pm it\Lambda}$. Based on this dispersive effect, we construct global solutions with large initial velocity concentrating on the low frequency part. Such kind of solution has never been seen before in the literature even for the classical incompressible Navier-Stokes equations. The proof relies heavily on the dispersive estimates for the system of acoustics, and a careful study of the nonlinear terms. And we also obtain the similar result for the isentropic compressible Navier-Stokes equations. Here, the initial velocity with arbitrary $\dot{B}^{\frac{N}{2}-1}_{2,1}$ norm of potential part $\mathbb{P}^\bot u_0$ and large highly oscillating are allowed in our results. (Joint works with Daoyuan Fang and Ruizhao Zi)
报告人简介: 张挺，浙江大学数学科学学院教授，博士生导师，数学科学学院院长助理，数学系系主任，国家级知名专家，教育部“新世纪优秀人才支持计划”,浙江省杰出青年科学基金项目获得者，浙江省“新世纪151人才工程”第二层次培养人员。
欢迎广大师生参加，联系人：陈辉。
本报告已由联系人在校宣传部报备，报备连接：https://shall.zust.edu.cn/ibps/platform/bpmn/instance/bpmInst/toStart.htm?defId=764997340032401408
