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Convergence to equilibrium for subcritical solutions of the Becker-Döring equations

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If you have a question about this talk, please contact Jonathan Ben-Artzi .

We study the speed of convergence to equilibrium of solutions to the Becker-Döring (BD) equations and show that for a subcritical mass, the linearized equations have a spectral gap in the natural vector space suggested by the entropy. Through estimates of moments of the nonlinear equations, we are able to deduce that subcritical solutions of the CF equations converge to equilibrium exponentially fast. The methods are modeled after similar techniques used in Kinetic Theory.

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

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