On the Landau approximation in plasma physics
R Alexandre, C Villani (2004)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Strong convergence towards homogeneous cooling states for dissipative Maxwell models”
On the Landau approximation in plasma physics
Kinetic and hydrodynamic equations for granular media
Mario Pulvirenti (1999)
Journées équations aux dérivées partielles
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In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
Pointwise convergence of Boltzmann solutions for grazing collisions in a Maxwell gas via a probabilitistic interpretation
Hélène Guérin (2004)
ESAIM: Probability and Statistics
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Using probabilistic tools, this work states a pointwise convergence of function solutions of the 2-dimensional Boltzmann equation to the function solution of the Landau equation for Maxwellian molecules when the collisions become grazing. To this aim, we use the results of Fournier (2000) on the Malliavin calculus for the Boltzmann equation. Moreover, using the particle system introduced by Guérin and Méléard (2003), some simulations of the solution of the Landau equation will be given....
The Boltzmann-Enskog equation with large data; wellposedness and regularity
Leif Arkeryd (1989)
Journées équations aux dérivées partielles
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Conservative forms of Boltzmann's collision operator : Landau revisited
Cédric Villani (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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New Results in Velocity Averaging
François Golse (2001-2002)
Séminaire Équations aux dérivées partielles
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This paper discusses two new directions in velocity averaging. One is an improvement of the known velocity averaging results for functions. The other shows how to adapt some of the ideas of velocity averaging to a situation that is essentially a new formulation of the Vlasov-Maxwell system.