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Fractional-Stokes limit for kinetic equations

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  • UserSara Merino (Cambridge)
  • ClockThursday 20 June 2013, 17:00-17:50
  • HouseMR12.

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

Fractional diffusion limits have been derived for collisional kinetic models conserving only the total mass (0-th moment). Their derivation is due, mainly, to the presence of a heavily tailed equilibrium distribution function in the collisional operator (instead of a Maxwellian) and a particular rescaling in time. In the present work, we extend the previous results to a linear kinetic model conserving the first three moments. Our approach is based on the ‘moments methods’ introduced by Antoine Mellet. In the limit we obtain the Stokes equation with fractional laplacian, under some conditions. This is a joint work with Sabine Hittmeir from Technische Universitat of Vienna.

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

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