Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials-Reference-Cited by-同舟云学术

Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials

Published:2019-12 Issue: Volume:399 Page:51-57
ISSN:0167-2789
Container-title:Physica D: Nonlinear Phenomena
language:en
Short-container-title:Physica D: Nonlinear Phenomena

Author:

Kang Kyungkeun,Kim Hwa Kil,Seo Geuntaek

Funder

NRF, Republic of Korea

YONSEI University, Republic of Korea

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference21 articles.

1. A kinetic equation for granular media;Benedetto;RAIRO Modél Math. Anal. Numér.,1997

2. Blow-up in multidimensional aggregation equations with mildly singular interaction kernels;Bertozzi;Nonlinearity,2009

3. Self-similar blowup solutions to an aggregation equation in Rn;Bertozzi;SIAM J. Appl. Math.,2010

4. Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations;Carrillo;Duke Math. J.,2011

5. K. Craig, I.A. Topaloglu, Aggregation-diffusion to constrained interaction: Minimizers & gradient flows in the slow diffusion limit, arXiv:1806.07415.

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1. Classifying Minimum Energy States for Interacting Particles: Regular Simplices;Communications in Mathematical Physics;2022-11-25

2. Maximizing expected powers of the angle between pairs of points in projective space;Probability Theory and Related Fields;2022-01-25

3. Erratum to “Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials” [Physica D 399 (2019) 51–57];Physica D: Nonlinear Phenomena;2020-05