Decrease of the fisher information for solutions of the spatially homogeneous Landau equation with Maxwellian molecules

Mathematical Models and Methods in Applied Sciences

Volumn 10, Issue 2, 2000, Pages 153-161

  Villani, C ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034400348     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202500000100     Document Type: Article

References (13)

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3. C. Buet and S. Cordier, Conservative and entropy decaying numerical schemes for the isotropic Fokker-Planck-Landau equation, to appear in J. Comput. Phys.
4. L. Desvillettes and C. Villani, On the spatially homogeneous Landau equation for hard potentials. Part I: existence, uniqueness and smoothness, to appear in Comm. Partial Differential Equations.
5. L. Desvillettes and C. Villani, On the spatially homogeneous Landau equation for hard potentials. Part II : H-theorem and applications, to appear in Comm. Partial Differential Equations.
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10. C. Villani, On the spatially homogeneous Landau equation for Maxwellian molecules, Math. Models Methods Appl. Sci. 8 (1998) 957-983.
11. C. Villani, Fisher information bounds for Boltzmann's collision operator, J. Math. Pures Appl. 77 (1998) 821-837.
12. C. Villani, On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations, Arch. Rational Mech. Anal. 143 (1998) 273-307.
13. C. Villani, Contribution à l'étude mathématique des équations de Boltzmann et de Landau en théorie cinétique des gaz et des plasmas, Ph.D. Thesis, Univ. Paris-Dauphine, 1998.