FLOCKING OF A THERMODYNAMIC CUCKER-SMALE MODEL WITH LOCAL VELOCITY INTERACTIONS

doi:10.1007/s10473-024-0214-z

Abstract

Abstract: In this paper, we study the flocking behavior of a thermodynamic Cucker-Smale model with local velocity interactions. Using the spectral gap of a connected stochastic matrix, together with an elaborate estimate on perturbations of a linearized system, we provide a sufficient framework in terms of initial data and model parameters to guarantee flocking. Moreover, it is shown that the system achieves a consensus at an exponential rate.

Key words: flocking, local interaction, thermodynamical Cucker-Smale model, stochastic matrix, neighbor graph

CLC Number:

34A36

Chunyin JIN, Shuangzhi LI. FLOCKING OF A THERMODYNAMIC CUCKER-SMALE MODEL WITH LOCAL VELOCITY INTERACTIONS[J].Acta mathematica scientia,Series B, 2024, 44(2): 632-649.

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