Title: Global well-posedness for 3D two-fluidsEuler-Maxwell system
Presenter: Professor LI Yeping( Nantong University)
Time: March 27, 2024(Thu)9:00-10:00
Location: Conference Room M1217, M building
Abstract:
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 paper shows that partially damped "two fluid” Euler-Maxwell system (namely u+ > 0 -=0) also yields the global stability of a constant background. This is a joint work with Prof. Zhu Yi.