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On the nonlinear 3D Boltzmann operator without cutoff. (Sur l’opérateur de Boltzmann non linéaire 3D sans troncature angulaire.) (French) Zbl 0913.35138

Summary: We indicate a formulation of the nonlinear 3D Boltzmann operator, without cutoff, and for the intermolecular law as \(1/r^s\), with \(s>2\). This writing, similar to the Landau operator, may be useful for the analysis of the associated (non)homogeneous equation.

MSC:

35Q72 Other PDE from mechanics (MSC2000)
82B40 Kinetic theory of gases in equilibrium statistical mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
35S30 Fourier integral operators applied to PDEs
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