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In this paper, we derive the extended magnetohydrodynamic models based on the moment closure of the Vlasov-Maxwell equation. We adopt the Grad type moment expansion which was firstly proposed in [12...
We develop an adaptive edge 痭ite element method based on reliable and e眂ient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with singularities. The r...
In this article we present some results on the existence of positive and ground state solutions for the nonlinear Klein-Gordon-Maxwell equations. We introduce a general nonlinearity with subcritical a...
Volume or statistical averaging of the microscopic Maxwell equations (MEs), i.e. transition from microscopic MEs to their macroscopic counterparts, is one of the main steps in electrodynamics of mater...
In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by electric fields. Our motivation came to model PE-CVD (plasma-enhanced che...
Basics of averaging of the Maxwell equations     the Maxwell equations  Models for polarization P  magnetization M       font style='font-size:12px;'> 2011/9/2
Volume or statistical averaging of the microscopic Maxwell equations (MEs), i.e. transition from microscopic MEs to their macroscopic counterparts, is one of the main steps in electrodynamics of mater...
We investigate the solution representation for Maxwell equations based on the combination of hypercomplex function-theoretical methods with quantum mechanical methods. This gives a characterization f...
We prove that for spacetimes solving the Einstein-Maxwell (EM) equations, the electromagnetic field contributes at highest order to the nonlinear memory effect of gravitational waves. In [5] D. Christ...
We prove that for spacetimes solving the Einstein-Maxwell (EM) equations,the electromagnetic eld contributes at highest order to the nonlinear memory e ect of gravitational waves.
We consider the one-dimensional propagation of electromagnetic waves in a weakly nonlinear and low-contrast spatially inhomogeneous medium with no energy dissipation. We focus on the case of a period...
It is well known through the work of Majumdar, Papapetrou, Hartle, and Hawking that the coupled Einstein and Maxwell equations admit a static multiple blackhole solution representing a balanced equili...
Maxwell equations are solved in a two dimensional plasma sheet for the case of an electromagnetic beam (laser beam for example) entering the media. The main idea is to separate the wave as the sum o...

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