Exponential Convergence to the Maxwell Distribution For Some Class of Boltzmann Equations

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• Gang Zhou (ETH Zürich)
• Monday 11 April 2011, 16:00-17:00
• CMS, MR15.

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We consider a class of nonlinear Boltzmann equations describing return to thermal equilibrium in a gas of colliding particles suspended in a thermal medium. We study solutions in the space L¹(R³x T³). Special solutions of these equations, called “Maxwellians,” are spatially homogeneous static Maxwell velocity distributions at the temperature of the medium. We prove that, for dilute gases, the solutions corresponding to smooth initial conditions in a weighted L¹-space converge to a Maxwellian in L¹, exponentially fast in time. This is a joint work with Juerg Froehlich.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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