Convergence of Regularized Nonlocal Interaction Energies
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Publication:3460261
DOI10.1137/15M1013882zbMath1334.49040arXiv1503.04826MaRDI QIDQ3460261
Publication date: 7 January 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.04826
aggregationWasserstein metricgradient flowglobal minimizers\(\Gamma\)-convergencepair potentialsvortex blob methodCoulomb repulsionnonlocal interaction energies
Integro-partial differential equations (45K05) Methods involving semicontinuity and convergence; relaxation (49J45) Classical equilibrium statistical mechanics (general) (82B05) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Integro-partial differential equations (35R09)
Related Items (13)
Swarming in domains with boundaries: approximation and regularization by nonlinear diffusion ⋮ Primal dual methods for Wasserstein gradient flows ⋮ Convergence of a One-Dimensional Cahn--Hilliard Equation with Degenerate Mobility ⋮ Birth–death dynamics for sampling: global convergence, approximations and their asymptotics ⋮ Discrete minimisers are close to continuum minimisers for the interaction energy ⋮ Approximate Global Minimizers to Pairwise Interaction Problems via Convex Relaxation ⋮ Aggregation-Diffusion Equations: Dynamics, Asymptotics, and Singular Limits ⋮ A blob method for diffusion ⋮ Nonlocal Shape Optimization via Interactions of Attractive and Repulsive Potentials ⋮ Aggregation-diffusion to constrained interaction: minimizers \& gradient flows in the slow diffusion limit ⋮ Analysis of Spherical Shell Solutions for the Radially Symmetric Aggregation Equation ⋮ Convergence of a Particle Method for Diffusive Gradient Flows in One Dimension ⋮ The nonlocal-interaction equation near attracting manifolds
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