University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Exponential Convergence to the Maxwell Distribution For Some Class of Boltzmann Equations

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

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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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