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 “About estimates for the spatially homogeneous Boltzmann equation”
On the Landau approximation in plasma physics
Characterization of collision kernels
Laurent Desvillettes, Francesco Salvarani (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper we show how abstract physical requirements are enough to characterize the classical collision kernels appearing in kinetic equations. In particular Boltzmann and Landau kernels are derived.
The direct and converse inequalities for Jackson-type operators on spherical cap.
Wang, Yuguang, Cao, Feilong (2009)
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Norming points and unique minimality of orthogonal projections.
Shekhtman, Boris, Skrzypek, LesŁaw (2006)
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On the spatially homogeneous Boltzmann equation
Stéphane Mischler, Bernst Wennberg (1999)
Annales de l'I.H.P. Analyse non linéaire
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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....
On weighted inequalities for parametric Marcinkiewicz integrals.
Al-Qassem, H.M. (2006)
Journal of Inequalities and Applications [electronic only]
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Ramanujan type trigonometric formulas: the general form for the argument .
Wituła, Roman (2009)
Journal of Integer Sequences [electronic only]
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