Mean-Field Limits for Some Riesz Interaction Gradient Flows

This paper is concerned with the mean-field limit for the gradient flow evolution of particle systems with pairwise Riesz interactions, as the number of particles tends to infinity. Based on a modulated energy method, using regularity and stability properties of the limiting equation, as inspired by the work of Serfaty in the context of the Ginzburg-Landau vortices, we prove a mean-field limit result in dimensions 1 and 2 in cases for which this problem was still open.

• Publication year

  2015

• Venue

  SIAM Journal on Mathematical Analysis

• Publication date

  2015-08-13

• Fields of study

  Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.1137/15M1042620arXiv 1508.03377
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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