Smoothing Effect for the Non-linear Vlasov-Poisson-Fokker-Planck System
نویسندگان
چکیده
منابع مشابه
Smoothing Effect for the Non-linear Vlasov-poisson-fokker-planck System
We study a smoothing effect of a non-linear degenerate parabolic problem, the Vlasov-Poisson-Fokker-Planck system, in three dimensions. We prove that a solution gives rise actually to very smooth macroscopic density and force field for positive time. This is obtained by analyzing the effect of the Fokker-Planck kernel on the force term in the Vlasov equation and using classical convolution ineq...
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A finite difference scheme is proposed for a relatively simple one dimensional collisional plasma model (Vlasov-Poisson-Fokker-Planck). The convergence of the scheme was established in [10]. In this article the scheme is implemented and compared with a random particle method. The difference scheme is found to be more effective, particularly at resolving the plasma density, / (£, x, v).
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1995
ISSN: 0022-0396
DOI: 10.1006/jdeq.1995.1146