报告题目:Global solutions of isentropic compressible Navier-Stokes equations with large velocity on low frequency part

报告人：张挺教授

报告时间：上午10:30-11:30

报告地点：理A110

报告题目：Global solutions of isentropic compressible Navier-Stokes equations with large velocity on low frequency part
报告摘要：In this talk, we consider the Cauchy problem of the N-dimensional isentropic compressible Navier-Stokes equations with N>=2. It is shown that, in the low frequency part, this system possesses some dispersive properties derived from the one parameter group e^{+-itA}. Based on this dispersive e ect, 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. (Joint works with Daoyuan Fang and Ruizhao Zi)
报告时间地点： 2019.4.2 上午10:30-11:30  理A110
报告人： 张挺  教授     浙江大学数学科学院