Hydrodynamic Cucker-Smale Model with Normalized Communication Weights and Time Delay
@article{Choi2019HydrodynamicCM, title={Hydrodynamic Cucker-Smale Model with Normalized Communication Weights and Time Delay}, author={Young-Pil Choi and Jan Haskovec}, journal={SIAM J. Math. Anal.}, year={2019}, volume={51}, pages={2660-2685} }
We study a hydrodynamic Cucker-Smale-type model with time delay in communication and information processing, in which agents interact with each other through normalized communication weights. The model consists of a pressureless Euler system with time delayed non-local alignment forces. We resort to its Lagrangian formulation and prove the existence of its global in time classical solutions. Moreover, we derive a sufficient condition for the asymptotic flocking behavior of the solutions…
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