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Exponential convergence to equilibrium for the Landau equation

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  • UserKleber Carrapatoso (University Paris Dauphine)
  • ClockThursday 20 June 2013, 14:00-14:50
  • HouseMR12.

If you have a question about this talk, please contact HoD Secretary, DPMMS.

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 L1 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 L1-spaces.

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

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