题目：Inflow/Outflow problem for two-phase flow

报告人：李海梁 首都师范大学

报告时间：2023年12月10日  8:00-12:00

腾讯会议号：794 364 7383

摘要：In this talk, we present recent investigation on inflow/outflow problem for full two-phase flow, which consists of two compressible Navier-Stokes equations coupled each other through the drag force relaxation mechanisms and is derived by the Chapman-Enskog expansion from the Vlasov-Navier-Stokes for mixed fluid-particle motion. The existence of unique steady-state is shown respectively corresponding to supersonic, sonic, and subsonic flow state at far field. The nonlinear stability and long time convergence rates are also established.Meanwihle, the comparison of full two-phase flow with one phase compressible viscous equations and drift-flux two-phase flow models are made. This is joint with Shuang Zhao.

个人简介：李海梁教授，博士生导师，首都师范大学副校长、数学科学学院院长，先后获批国家杰出青年基金、自然科学基金重点项目资助。入选北京市“科技新星”计划、教育部“新世纪优秀人才支持计划”，国务院特殊津贴专家、人社部“国家百千万人才工程”、特聘教授、北京学者。李海梁教授长期从事可压流体动力学方程和Boltzmann方程的数学理论及其应用研究，取得多项有重要意义的创新成果，在Comm. Math. Phys. Arch. Ration. Mech. Anal.等刊物发表SCI 学术论文60 多篇。