江蘇省應用數學（中國礦業大學）中心系列學術報告
報告題目：Global well-posedness for 3D two-fluids Euler–Maxwell system
報告人：黎野平 教授（南通大學）
報告時間：2024年6月5日（周三）上午10：00-11：00
報告地點：伟德bvA310
主持人：劉興興
報告摘要: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.
報告人簡介：黎野平，南通大學理學院教授、博士研究生導師、湖北“楚天學者”特聘教授。先後在湖北大學、武漢大學和香港中文大學獲教育學學士學位、理學碩士學位和博士學位。主要緻力于非線性偏微分方程的研究，尤其是來自物理、材料、生物和醫學等自然科學中的各類非線性偏微分方程和非線性耦合方程組。在《Mathematical Models and Methods in Applied Sciences》，《SIAM Journal of Mathematical Analysis》，《Calculus of Variations and Partial Differential Equations》，《Journal of Differential Equations》和《Communications in Mathematical Sciences》等國際、國内的重要學術期刊雜志上發表論文100餘篇。同時，主持完成國家自然科學基金3項和教育部博士點博導專項、上海市教委創新項目以及江蘇省自然科學基金等省部級科研項目10餘項；現在正主持國家自然科學基金面上項目1項和參加國家自然科學基金重點項目1項。