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A gradient flow approach to the Boltzman...
Erbar, Matthias...
A gradient flow approach to the Boltzmann equation by Erbar, Matthias ( Author )
N.A
01-01-2016
We show that the spatially homogeneous Boltzmann equation evolves as the gradient flow of the entropy with respect to a suitable geometry on the space of probability measures which takes the collision process into account. This gradient flow structure allows to give a new proof for the convergence of Kac's random walk to the homogeneous Boltzmann equation, exploiting the stability of gradient flows.
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Article
pdf
36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1603.00540
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