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談話会 (数理談話会・IMI Colloquium)

Swarming, Interaction Energies and PDEs [数理談話会]

開催期間
2017-04-13 16:30~2017-04-13 17:30
場所
九州大学 伊都キャンパス ウエスト1号館 4階 IMIオーディトリアム (W1-D-413)
受講対象
 
講師
Jose Carrillo (Imperial College London)

日時:2017年4月13日 (木)
         16:00~16:30 (ティータイム)
         16:30~17:30 (講演)
 

場所:情報学習プラザ,ウエスト1号館A棟8階 (ティータイム)
         IMIオーディトリアム W1-D-413 (講演)


講演者:Jose Carrillo (Imperial College London)
講演題目:Swarming, Interaction Energies and PDEs

アブストラクト:
I will present a survey of the main results about first and second order models of swarming where repulsion and attraction are modeled through pairwise potentials. We will mainly focus on the stability of the fascinating patterns that you get by random particle simulations, flocks and mills, and their qualitative behavior. Qualitative properties of local minimizers of the interaction energies are crucial in order to understand these complex behaviors. Compactly supported global minimizers determine the flock patterns whose existence is related to the classical H-stability in statistical mechanics and the classical obstacle problem for differential operators.