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Showing 2021 · math.APShow all
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math.AP2021
Local and global well-posedness of one-dimensional free-congested equations
Anne-Laure Dalibard, Charlotte Perrin
This paper is dedicated to the study of a one-dimensional congestion model, consisting of two different phases. In the congested phase, the pressure is free and the dynamics is inc…
math.AP2021
Log-transform and the weak Harnack inequality for kinetic Fokker-Planck equations
Jessica Guerand, Cyril Imbert
This article deals with kinetic Fokker-Planck equations with essentially bounded coefficients. A weak Harnack inequality for non-negative super-solutions is derived by considering…