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arXiv · 2203.05273

Study of the Kramers-Fokker-Planck quadratic operator with a constant magnetic field

Zeinab Karaki
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Abstract

We study the quadratic Kramers-Fokker-Planck operator with a constant magnetic field and with a quadratic potential. We describe the exact expression of the norm of the semi-group associated to the operator near the equilibrium. At this level, explicit and accurate estimates of this norm are shown in small and long times as well as uniform-in-time estimates when the magnetic parameter $b$ tends to infinity.

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Zeinab Karaki. 2022-03-10. Study of the Kramers-Fokker-Planck quadratic operator with a constant magnetic field. https://doi.org/10.1063/5.0090025

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