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Hydrodynamic limits and hypocoercivity for kinetic equations with heavy tails

Hydrodynamic limits and hypocoercivity for kinetic equations with heavy tails

This expository article, written for the proceedings of the Journées EDP 2023, presents mainly joint works with Dolbeault and Laflèche [1] and Mouhot [3]. We will review some results about long time behaviour of linear kinetic equations for which the microscopic equilibrium (that is, the kernel of the reorientation operator) …