Year: 2018
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 1 : pp. 151–180
Abstract
Hyperbolic, rotation invariant moment systems are derived for a non-linear kinetic description of two-dimensional Vicsek swarming model. The systems also preserve mass conservation, and numerical experiments show that this approach captures the key features of the model such as shock waves, contact discontinuities, rarefaction waves, vortex formations. If the system order increases, the solutions of the moment systems converge to the solution of the corresponding kinetic equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.170617.141117a
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 1 : pp. 151–180
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Moment method hyperbolicity kinetic equation model reduction projection operator.