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Regularity of the Boltzmann equation in convex domains

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  • UserChanwoo Kim (University of Cambridge)
  • ClockThursday 20 June 2013, 10:50-11:40
  • HouseMR12.

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

Consider the Boltzmann equation in strictly convex domains with the diffuse BC and the specular reflection BC. We establish weighted W estimates to the solutions with both boundary conditions. On the other hand we construct solutions to the linear Boltzmann equation which cannot be in any weighted W{2,p}.

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

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Paston Brown Room, Homerton Conference Centre, Cambridge, CB2 2PH Lee Hall, Wolfson College Junior Parlour, Trinity College, Trinity Street, Cambridge, CB2 1TQ

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