منابع مشابه
Vlasov-maxwell-boltzmann Diffusive Limit
We study the diffusive expansion for solutions around Maxwellian equilibrium and in a periodic box to the Vlasov-Maxwell-Boltzmann system, the most fundamental model for an ensemble of charged particles. Such an expansion yields a set of dissipative new macroscopic PDE’s, the incompressible Vlasov-Navier-Stokes-Fourier system and its higher order corrections for describing a charged fluid, wher...
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Article history: Received 25 June 2015 Accepted 26 June 2015 Available online 30 June 2015 Communicated by C.R. Doering
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Rigorous results on solutions of the Einstein-Vlasov system are surveyed. After an introduction to this system of equations and the reasons for studying it, a general discussion of various classes of solutions is given. The emphasis is on presenting important conceptual ideas, while avoiding entering into technical details. Topics covered include spatially homogenous models, static solutions, s...
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A rigorous convergence analysis of the Strang splitting algorithm for Vlasov-type equations in the setting of abstract evolution equations is provided. It is shown that, under suitable assumptions, the convergence is of second order in the time step τ . As an example, it is verified that the Vlasov–Poisson equations in 1+1 dimensions fit into the framework of this analysis. Further, numerical e...
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The aim of this paper is to review and classify the different methods that have been developed to enable stable long time simulations of the VlasovMaxwell equations and the Maxwell equations with sources. These methods can be classified in two types: field correction methods and sources correction methods. The field correction methods introduce new unknowns in the equations, for which additiona...
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ژورنال
عنوان ژورنال: Keldysh Institute Preprints
سال: 2018
ISSN: 2071-2898,2071-2901
DOI: 10.20948/prepr-2018-188