On the Full Dissipative Property of the Vlasov-Poisson-Boltzmann System

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.

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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.

@incollection{MR3050180,
	abstract = {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.},
	address = {Singapore},
	annote = {Proceedings of the HYP2010 conference in Beijing},
	author = {Renjun Duan and Robert M. Strain},
	booktitle = {Hyperbolic problems---theory, numerics and applications. {V}olume 2},
	date-added = {2019-07-13 15:27:26 -0400},
	date-modified = {2019-08-08 14:12:11 -0600},
	doi = {10/c74v},
	editor = {Tatsien Li and Song Jiang},
	keywords = {Boltzmann equation, Vlasov-Maxwell systems, Kinetic Theory},
	mrnumber = {3050180},
	pages = {398--405},
	publisher = {World Scientific Publishing and Higher Education Press},
	series = {Ser. Contemp. Appl. Math. CAM},
	title = {On the {F}ull {D}issipative {P}roperty of the {V}lasov-{P}oisson-{B}oltzmann {S}ystem},
	urlpdf = {https://strain.math.upenn.edu/preprints/2012DuanStrainHype.pdf},
	volume = {17},
	year = {2012},
	zblnumber = {1293.35339},
	bdsk-url-1 = {https://doi.org/10.1142/9789814417099_0037}}

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