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Diffusion and kinetic transport with very weak confinement

Abstract : This paper is devoted to Fokker-Planck and linear kinetic equations with very weak confinement corresponding to a potential with an at most logarithmic growth and no integrable stationary state. Our goal is to understand how to measure the decay rates when the diffusion wins over the confinement although the potential diverges at infinity.
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Submitted on : Thursday, January 24, 2019 - 12:07:30 AM
Last modification on : Wednesday, December 1, 2021 - 5:28:05 PM
Long-term archiving on: : Thursday, April 25, 2019 - 2:14:19 PM

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Emeric Bouin, Jean Dolbeault, Christian Schmeiser. Diffusion and kinetic transport with very weak confinement. Kinetic and Related Models , AIMS, 2020, 13 (2), pp.345-371. ⟨10.3934/krm.2020012⟩. ⟨hal-01991665⟩

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