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boltzmann operator

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Around 3D Boltzmann non linear operator without angular cutoff, a new formulation
Radjesvarane Alexandre
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 3 / May 2000

Published online by Cambridge University Press:

15 April 2002, pp. 575-590

Print publication:

May 2000
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We propose a new formulation of the 3D Boltzmann non linear operator, without assuming Grad's angular cutoff hypothesis, and for intermolecular laws behaving as 1/rs , with s> 2. It involves natural pseudo differential operators, under a form which is analogous to the Landau operator. It may be used in the study of the associated equations, and more precisely in the non homogeneous framework.