Regularity of Local Minimizers of the Interaction Energy Via Obstacle Problems-Reference-Cited by-同舟云学术

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Regularity of Local Minimizers of the Interaction Energy Via Obstacle Problems

Published:2016-03-17 Issue:3 Volume:343 Page:747-781
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Carrillo J. A.,Delgadino M. G.,Mellet A.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-016-2598-7.pdf

Reference57 articles.

1. Albi G., Balagué D., Carrillo J.A., von Brecht J.: Stability analysis of flock and mill rings for 2nd order models in swarming. SIAM J. Appl. Math. 74, 794–818 (2014)

2. Balagué D., Carrillo J.A., Laurent T., Raoul G.: Nonlocal interactions by repulsive-attractive potentials: Radial ins/stability. Physica D 260, 5–25 (2013)

3. Balagué D., Carrillo J.A., Laurent T., Raoul G.: Dimensionality of local minimizers of the interaction energy. Arch. Rat. Mech. Anal. 209(3), 1055–1088 (2013)

4. Balagué D., Carrillo J.A., Yao Y.: Confinement for repulsive-attractive kernels. DCDS-B 19, 1227–1248 (2014)

5. Bernoff A.J., Topaz C.M.: A primer of swarm equilibria. SIAM J. Appl. Dyn. Syst. 10(1), 212–250 (2011)

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