报告人：姚磊教授（西北大学）
时 间：2019年9月22日下午 16:00-16:45
地点：华南数学应用与交叉研究中心学术报告厅111
题目：Hydrodynamic limit of 1D compressible Navier-Stokes-Vlasov equations
摘要：
We study the hydrodynamic limit of weak solutions to the compressible Navier-Stokes-Vlasov equations without diffusive term in one dimension. This work extends in some sense the previous work, [Mellet and Vasseur, Comm. Math. Phys., 281(2008), 573-596], which provided the hydrodynamic limit of weak solutions to the Vlasov-Fokker-Planck/compressible Navier-Stokes systems in three dimensions with $\frac{3}{2}<\gamma<2$ (where the pressure $p(\rho)=\mathbb{A}\rho^{\gamma}$). In this study, we improve the results by taking advantage of the one space dimension. More precisely, we obtain the hydrodynamic limit for 1D compressible Navier-Stokes-Vlasov equations. The proof relies on a relative entropy method to obtain the corresponding strong convergence of the density of the fluid.
个人简介：
姚磊，西北大学教授，博士生导师，2010年在华中师范大学获理学博士学位；曾获全国百篇优秀博士学位论文奖、陕西省杰出青年科学基金、陕西省青年科技新星。主要从事流体力学中的偏微分方程数学理论的研究，在 Math. Ann.、JMPA、Ann I H Poincaré -AN、SIAM JMA、JDE等国际刊物发表学术论文30余篇。