Istituto di Matematica Applicata e Tecnologie Informatiche     
Toscani G. The grazing collisions asymptotics of the non cut-off Kac equation. Preprint ercim.cnr.ian//1997-1033, 1997.
We investigate the non cut-off Kac equation when the cross-section is concentrating on grazing collisions. We prove that this process leads to the one-dimensional Fokker-Planck equation, and that, at least under suitable regularity of the initial data, the convergence is uniform in time.
Subject 00-XX

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