A Computational Investigation of a Continuum Model for Flocking Dynamics

Diego Galvan Author
04/02/2021 Added
20 Plays

Description

This study introduces a novel method for computationally investigating 2D nonlocal nonlinear continuum models. Leveraging the fourier transform and using a singular kernel for the nonlocal operator, the computations involved efficiently compute the convolution operator to preserve the time and power needed to investigate this system in 2D and higher.. In 2D and higher, the lack of a conserved quantity prevents a proof for well-posedness. However, guided by analytical investigation, candidates for conserved quantities are able to be numerically tested as a result of this computational investigation.


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