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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An implicit, asymptotic-preserving and energy-charge conserving method for the Vlasov-Maxwell system near quasineutrality
弗拉索夫-麦克斯韦系统 近准中性 隐式渐近守恒 能量电荷守恒
2023/4/13
An implicit asymptotic-preserving and energy-charge conserving (APECC) Particle-In-Cell method is proposed to solve the Vlasov-Maxwell (VM) equations in the quasi-neutral limit. Charge conservation is...
The Maxwell system in waveguides with several ends
The Maxwell system waveguides with several ends Mathematical Physics
2012/6/14
A waveguide coincides with a three-dimensional domain G having finitely many cylindrical outlets to infinity; the boundary of G is smooth. In G, we consider the stationary Maxwell system with real spe...
Green's function and large time behavior of the Navier-Stokes-Maxwell system
Navier-Stokes-Maxwell system dissipation Green’s function asymptotic stability
2011/9/1
Abstract: In this paper, we are concerned with the system of the compressible Navier-Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The asympt...
Global existence for the Euler-Maxwell system
Global existence the Euler-Maxwell system Analysis of PDEs
2011/8/30
Abstract: The Euler-Maxwell system describes the evolution of a plasma when the collisions are important enough that each species is in a hydrodynamic equilibrium. In this paper we prove global existe...
Broad Band Solitons in a Periodic and Nonlinear Maxwell System
Periodic Nonlinear Maxwell System nonlocal equations geometrical optics
2011/7/6
We consider the one-dimensional Maxwell equations with low contrast periodic linear refractive index and weak Kerr nonlinearity. In this context, wave packet initial conditions with a single carrier f...