A gradient flow approach to linear Boltzmann equations

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Abstract

We introduce a gradient flow formulation of linear Boltzmann equations. Under a diffusive scaling we derive a diffusion equation by using the machinery of gradient flows.

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Basile, G., Benedetto, D., & Bertini, L. (2020). A gradient flow approach to linear Boltzmann equations. Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze , 21, 943–975. https://doi.org/10.2422/2036-2145.201811_012

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