Smoothness of classical solutions to the Vlasov-Maxwell-Landau system near maxwellians

Discrete and Continuous Dynamical Systems

Volumn 20, Issue 4, 2008, Pages 889-910

  Chen, Yemin ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Averaging lemmas; Smoothness; Vlasov Maxwell Landau system

Indexed keywords

EID: 44849101217     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2008.20.889     Document Type: Article

References (8)

1. A. A. Arsen'ev and O. E. Buryak, On a connection between the solution of the Boltzmann equation and the solution of the Landau-Fokker-Planck equation, Math. USSR Sbornik, 69 (1991), 465-478.
2. F. Bouchut and L. Desvillettes, Averaging lemmas without time Fourier transform and application to discretized kinetic equations, Proc Roy. Soc. Edinburgh, 129A (1999), 19-36.
3. Y. Chen, Smoothness of classical solutions to the Vlasov-Poisson- Landau system, preprint.
4. Y. Chen, L. Desvillettes and L. He, Smoothing effects for classical solutions of the full Landau equation, to appear in Arch. Rational Mech. Anal.
5. L. Desvillettes and C. Villani, On the spatially homogeneous Landau equation for hard potentials, part 1: existence, uniqueness and smoothness, Comm. P. D. E., 25 (2000), 179-259.
6. F. Golse, P. L. Lions, B. Perthame and R. Sentis, Regularity of the moments of the solution of a transport equation, J. Funct. Anal., 76 (1988), 110-125.
7. C. D. Sogge, "Lectures on Nonlinear Wave Equations," vol. II of Monographs in Analysis, International Press, Boston, 1995.
8. H. Yu, Globel classical solution of the Vlasov-Maxwell-Landau system near Maxwellians, J. Math. Phys., 45 (2004), 4360-4376.