Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume -, Issue -, Pages -Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2022078
Keywords
Reflecting process; coupling method; mean-field limit; Wasserstein metric; propagation of chaos
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Funding
- NSERC
- Pacific Institute for the Mathematical Sciences (PIMS)
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We investigate the zero-diffusion limit for both continuous and discrete aggregation-diffusion models over convex and bounded domains. Our result relaxes the regularity assumptions on the interaction and external potentials and improves the convergence rate.
We investigate the zero-diffusion limit for both continuous and discrete aggregation-diffusion models over convex and bounded domains. Our approach relies on a coupling method connecting PDEs with their underlying SDEs. Compared with existing work, 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 to be consistent with numerical computations.
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