The Vlasov-Poisson-Focker-Planck system with infinite kinetic energy

F. Castella

Type: Article

Publication Date: 1998-01-01

Citations: 17

DOI: https://doi.org/10.1512/iumj.1998.47.1472

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Indiana University Mathematics Journal - View

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+	Global Existence of Regular Solutions for the Vlasov–Poisson–Fokker–Planck System	2001	Kosuke Ono
+	Dispersive effects in quantum kinetic equations	2007	Anton Arnold Elidon Dhamo M. Chiara Manzini
+	Global existence and uniqueness to the Cauchy problem of the BGK equation with infinite energy	2015	Zili Chen Xianwen Zhang
+	Multi-Scale Modeling of Quantum Semiconductor Devices	2006	Anton Arnold Ansgar Jüngel
+	The Vlasov–Poisson system with infinite kinetic energy and initial data in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn>6</mml:mn></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math>	2007	Xianwen Zhang Jinbo Wei

Works Cited by This (19)

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+	Time decay, propagation of low moments and dispersive effects for kinetic equations	1996	Benoı̂t Perthame
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+ PDF Chat	On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials	1995	François Bouchut Jean Dolbeault
+	Global weak solutions of Vlasov‐Maxwell systems	1989	Ronald J. DiPerna Pierre Louis Lions
+	Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data	1992	K. Pfaffelmoser
+	Regularity of the moments of the solution of a Transport Equation	1988	François Golse Pierre-Louis Lions Benoı̂t Perthame Rémi Sentis
+	Time Decay of the Solutions of the Vlasov-Poisson System in the Plasma Physical Case	1996	Reinhard Illner Gerhard Rein
+	Existence and Uniqueness of a Global Smooth Solution for the Vlasov-Poisson-Fokker-Planck System in Three Dimensions	1993	François Bouchut
+	Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system	1991	P. L. Lions Benoı̂t Perthame
+	Smoothing Effect for the Non-linear Vlasov-Poisson-Fokker-Planck System	1995	François Bouchut