Corpus ID: 55980653

Zero-diffusion Limit for Aggregation Equations over Bounded Domains

@article{Fetecau2018ZerodiffusionLF,
  title={Zero-diffusion Limit for Aggregation Equations over Bounded Domains},
  author={R. Fetecau and Hui Huang and D. Messenger and W. Sun},
  journal={arXiv: Analysis of PDEs},
  year={2018}
}
We establish the zero-diffusion limit for both continuous and discrete aggregation models over convex and bounded domains. Compared with a similar zero-diffusion limit derived in [44], our approach is different and relies on a coupling method connecting PDEs with their underlying SDEs. Moreover, our result relaxes the regularity assumptions on the interaction and external potentials and improves the convergence rate (in terms of the diffusion coefficient). The particular rate we derive is shown… Expand

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Equilibria of an aggregation model with linear diffusion in domains with boundaries

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