About the regularizing properties of the non-cut-off Kac equation. (English) Zbl 0827.76081

Summary: We prove that under suitable assumptions, the solution of the spatially homogeneous non-cut-off Kac equation (or of the spatially homogeneous non cut-off two-dimensional Boltzmann equation with Maxwellian molecules in the radial case) becomes very regular with respect to the velocity variable as soon as the time is strictly positive.


76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82D05 Statistical mechanics of gases
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