University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Asymptotic behavior in the Cucker-Smale model with short range communication weights

Asymptotic behavior in the Cucker-Smale model with short range communication weights

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The Cucker-Smale model describes collective behavior in many-body systems, such as flocking of birds, schooling of fishes. When the communication weight has a long range, the model has asymptotic flocking for any initial data. However, asymptotic flocking would be fail for the short range communicated Cucker-Smale model with general initial data. Based on a new equality, we will discuss asymptotic flocking and other asymptotic behavior for the model with short range communication weights. Well-posedness and asymptotic behavior of solutions are also discussed for the kinetic Cucker-Smale model.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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