University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Convergence to equilibrium for degenerate kinetic equations

Convergence to equilibrium for degenerate kinetic equations

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If you have a question about this talk, please contact Prof. Clément Mouhot.

We study the decay to the equilibrium state for the solution of the linear Boltzmann equation in the torus, by allowing that the non-negative cross section can vanish in a subregion X of the domain, with positive Lebesgue measure. We give a counterexample which shows that the asymptotic rate of convergence to equilibrium cannot be better than t^{-1/2} in the general case and identify the necessary and sufficient condition on X that guarantees the exponential decay to equilibrium.

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

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