报告人： 范丽丽副教授（武汉轻工业大学）

报告题目:  Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations

报告摘要: We are concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, F. M. Huang, A. Matsumura and X. D. Shi have showed that there exists viscous shock wave solution to the inflow problem and both the boundary layer solution, the viscous shock wave, and their superposition are time-asymptotically nonlinear stable under small initial perturbation. The main purpose of us is to show that similar stability results still hold for a class of large initial perturbation which can allow the initial density to have large oscillations. The proofs are given by an elementary energy method and the key point is to deduce the desired uniform positive lower and upper bounds on the density.

 报告人简介：范丽丽博士毕业于武汉大学，现为武汉轻工大学副教授，研究生导师.曾在日本大阪大学,香港中大学访问学习.主要从事非线性双曲型偏微分方程的研究，在Navier-Stokes方程解的适定性与双曲型偏微分方程波的稳定性方面取得了一系列的成果, 在JDE, A.A., KRM 等国际期刊上发表论文近十篇。

报告时间: 2017年2月27日10:00-11:00， 

报告地点：科技楼南702