From gas dynamics with large friction to gradient flows describing diffusion theories

@article{Lattanzio2016FromGD,
  title={From gas dynamics with large friction to gradient flows describing diffusion theories},
  author={C. Lattanzio and A. Tzavaras},
  journal={Communications in Partial Differential Equations},
  year={2016},
  volume={42},
  pages={261 - 290}
}
ABSTRACT We study the emergence of gradient flows in Wasserstein distance as high friction limits of an abstract Euler flow generated by an energy functional. We develop a relative energy calculation that connects the Euler flow to the gradient flow in the diffusive limit regime. We apply this approach to prove convergence from the Euler–Poisson system with friction to the Keller–Segel system in the regime that the latter has smooth solutions. The same methodology is used to establish… Expand
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High-friction limits of Euler flows for multicomponent systems.
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