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Variational formulations for Vlasov–Poisson–Fokker–Planck systems

✍ Scribed by Chaocheng Huang; Richard Jordan

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
271 KB
Volume
23
Category
Article
ISSN
0170-4214

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✦ Synopsis

Time-discrete variational schemes are introduced for both the Vlasov}Poisson}Fokker}Planck (VPFP) system and a natural regularization of the VPFP system. The time step in these variational schemes is governed by a certain Kantorovich functional (or scaled Wasserstein metric). The discrete variational schemes may be regarded as discretized versions of a gradient #ow, or steepest descent, of the underlying free energy functionals for these systems. For the regularized VPFP system, convergence of the variational scheme is rigorously established.

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