On the Full Dissipative Property of the Vlasov-Poisson-Boltzmann System. Duan, R. & Strain, R. M. In Li, T. & Jiang, S., editors, Hyperbolic problems—theory, numerics and applications. Volume 2, volume 17, of Ser. Contemp. Appl. Math. CAM, pages 398–405. World Scientific Publishing and Higher Education Press, Singapore, 2012.
On the Full Dissipative Property of the Vlasov-Poisson-Boltzmann System [pdf]Pdf  doi  abstract   bibtex   
In this paper, we present a new approach of studying the full dissipative property of the Vlasov-Poisson-Boltzmann system over the whole space. The key part of this approach is to design the interactive functional to capture the dissipation of the system along the degenerate components. The developed approach is generally applicable to other relevant models arising from plasma physics both at the kinetic and fluid levels.

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