The Relativistic Vlasov-Maxwell System in Two Space Dimensions: Part I

1998 ◽  
Vol 141 (4) ◽  
pp. 331-354 ◽  
Author(s):  
Robert T. Glassey ◽  
Jack Schaeffer
Keyword(s):  
Maxwell System ◽  
Two Space Dimensions

scholarly journals Fields Connected with Particles in Terms of Complex-Riemannian Geometry

1990 ◽  
Vol 45 (2) ◽  
pp. 81-94
Author(s):  
Julian Ławrynowicz ◽  
Katarzyna Kędzia ◽  
Leszek Wojtczak
Keyword(s):  
Field Potential ◽  
Riemannian Metrics ◽  
Interaction Matrix ◽  
Explicit Calculation ◽  
Maxwell System ◽  
Curved Space ◽  
Starting Point ◽  
Autocorrelation Time ◽  
The Fourier Transform ◽  
Convolution Equations

AbstractA complex analytical method of solving the generalised Dirac-Maxwell system has recently been proposed by two of us for a certain class of complex Riemannian metrics. The Dirac equation without the field potential in such a metric appeared to be equivalent to the Dirac-Maxwell system including the field potentials produced by the currents of a particle in question. The method proposed is connected with applying the Fourier transform with respect to the electric charge treated as a variable, with the consideration of the mass as an eigenvalue, and with solving suitable convolution equations. In the present research an explicit calculation based on linearization of the spinor connections is given. The conditions for the motion are interpreted as a starting point to seek selection rules for curved space-times corresponding to actually existing particles. Then the same method is applied to solids. Namely, by a suitable transformation of the configuration space in terms of elements of the interaction matrix corresponding to the Coulomb, exchange, and dipole integrals, the interaction term in the hamiltonian becomes zero, thus leading to experimentally verificable formulae for the autocorrelation time

Vlasov-Maxwell system with physical reasonableness constraints

2019 ◽  
Vol 1 (2) ◽  
pp. 025005 ◽  
Author(s):  
H Lin ◽  
C P Liu
Keyword(s):  
Maxwell System

scholarly journals Approximation and Support Theorem for a Wave Equation in Two Space Dimensions

Bernoulli ◽  
2000 ◽  
Vol 6 (5) ◽  
pp. 887 ◽  
Author(s):  
Annie Millet ◽  
Marta Sanz-Solé ◽  
Marta Sanz-Sole
Keyword(s):  
Wave Equation ◽  
Support Theorem ◽  
Two Space Dimensions

scholarly journals Convergence of a Singular Euler-Maxwell Approximation of the Incompressible Euler Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-13
Author(s):  
Jianwei Yang ◽  
Hongli Wang
Keyword(s):  
Euler Equations ◽  
Collisionless Plasma ◽  
Maxwell System ◽  
Energy Estimation ◽  
Incompressible Euler Equations ◽  
Incompressible Euler

This paper studies the Euler-Maxwell system which is a model of a collisionless plasma. By energy estimation and the curl-div decomposition of the gradient, we rigorously justify a singular approximation of the incompressible Euler equations via a quasi-neutral regime.

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