Exponential convergence to equilibrium for the Landau equation

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• Kleber Carrapatoso (University Paris Dauphine)
• Thursday 20 June 2013, 14:00-14:50
• MR12.

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In this talk we deal with the long-time behavior of solutions to the homogeneous Landau equation with hard potentials. It is already known that a spectral gap inequality holds for the linearized Landau operator in L^{1 with Gaussian weight, and, moreover, that solutions converge towards the equilibrium in polynomial time. We prove an exponential in time convergence, using an approach based on new spectral gap estimates for the linearized operator in weighted L}1-spaces.

This talk is part of the Conference on Mathematical Topics in Kinetic Theory series.

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