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On the particle method for electrons in an inhomogeneous scattering medium. (English. Russian original) Zbl 1478.78025

Comput. Math. Math. Phys. 61, No. 9, 1521-1531 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 9, 1545-1555 (2021).
Summary: A Cauchy problem for the kinetic and electrodynamic equations describing the self-consistent electromagnetic field of an electron beam propagating in a medium with discontinuous scattering properties and electrophysical characteristics is considered. An interpretation of the generalized solution as a particle method for the numerical solution of the kinetic equation in a self-consistent field is presented. An approach to the numerical solution based on smoothing the coefficients of the kinetic equation and considering its solution in the class of compactly supported generalized functions is proposed.

MSC:

78A45 Diffraction, scattering
78A35 Motion of charged particles
65M75 Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs
78M99 Basic methods for problems in optics and electromagnetic theory
82C40 Kinetic theory of gases in time-dependent statistical mechanics
82C22 Interacting particle systems in time-dependent statistical mechanics
35Q83 Vlasov equations
35Q61 Maxwell equations
35R09 Integro-partial differential equations
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References:

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