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arXiv · 1506.05520

Generalized solutions of a kinetic granular media equation by a gradient flow approach

Martial Agueh·Guillaume Carlier
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Abstract

We consider a one-dimensional kinetic model of granular media in the case where the interaction potential is quadratic. Taking advan- tage of a simple first integral, we can use a reformulation (equivalent to the initial kinetic model for classical solutions) which allows mea- sure solutions. This reformulation has a Wasserstein gradient flow structure (on a possibly infinite product of spaces of measures) for a convex energy which enables us to prove global in time well-posedness.

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Martial Agueh, Guillaume Carlier. 2015-06-18. Generalized solutions of a kinetic granular media equation by a gradient flow approach. https://arxiv.org/abs/1506.05520

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