报告地点：行健楼学术活动室526
邀请人：郭飞副教授
摘要：In this talkr, we consider a fluid-particle system which describes the evolution of two-phase flow. The system consists of the compressible Euler equations for the fluid (fluid phase) coupled with the Vlasov equation for the particles (disperse phase) through the drag force. We obtain a global bounded weak entropy solution in $L^{\infty}$ for such one-dimensional Euler-Vlasov equations with arbitrarily large initial data for the whole range of physical adiabatic exponents $\gamma>1$. To achieve this, we apply vanishing viscosity method and construct globally defined approximate solutions by adding some novel viscosity terms to the Euler equations, which together with our key observation on relative velocity plays a fundamental role in the hardest part of the proof: the uniform $L^\infty$-estimate. After entropy dissipation estimate, the convergence of approximate solutions is guaranteed by the compensated compactness argument.
简介：蒋鹏 河海大学理*女王调教-女王调教视频-女王 调教小说副教授 硕士生导师 主要研究方向 流体力学中的偏微分方程的适定性理论 主持国家自然科学基金 江苏省自然科学基金3项 在siam j math anal, jde ,disc contin dyn sys, nonlinearity等杂志发表学术论文十余篇。