Global well-posedness for 3D two-fluids Euler-Maxwell system with partial damped
数学专题报告
报告题目(Title)：Global well-posedness for 3D two-fluids Euler-Maxwell system with partial damped
报告人(Speaker)：黎野平 教授（南通大学）
地点(Place)：腾讯会议号: 133 276 049 | 会议密码: 123456
时间(Time)：2026年4月15日（周三）15:00-16:00
邀请人(Inviter)：薛留堂
报告摘要
In this talk, I am going to present the initial value problem on the partially damped “two fluid” Euler-Maxwell equations in three dimensional periodic domain. Compared with the previous “two fluid” Euler-Maxwell results, our model describes two fluids obey different dynamical evolutions, one is compressible Euler and the other is compressible Euler with damping. The global existence of small smooth solutions near constant steady states is established and the time decay rates of perturbed solutions are obtained. The main challenge is to investigate the asymmetric system and find out the transmission mechanism of dissipation. Although there are various variables obeying different dynamical evolutions, we can still derive the unified time-weighted energy frame to achieve our goal. Our theorem in this report shows that partially damped “two fluid” Euler-Maxwell system (namely μ+= 0, μ−>0) also yields the global stability of a constant background. This is a joint work with Prof. Zhu Yi.
主讲人简介
黎野平，南通大学数学与统计学院二级教授、博士研究生导师。先后在湖北大学、武汉大学和香港中文大学获学士学位、硕士学位和博士学位。主要致力于非线性偏微分方程的研究，在《Mathematical Models and Methods in Applied Sciences》，《Mathematische Annalen》，《SIAM Journal of Mathematical Analysis》，《Journal of Differential Equations》和《Calculus of Variations and Partial Differential Equations》等国际、国内的重要学术期刊杂志上发表论文100余篇。同时，主持完成国家自然科学基金4项和教育部博士点博导专项和上海市教委创新项目等省部级科研项目10余项，参加完成国家自然科学基金2项；现在正参加国家自然科学基金重点项目1项。
