Flocking hydrodynamics with external potentials

• Published in: arXiv.org
• Main Authors: Shu, Ruiwen, Tadmor, Eitan
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 21.01.2019
• Subjects: Alignment; Computational fluid dynamics; Fluid flow; Harmonic oscillators; Hydrodynamics; Kernels; Mathematics - Analysis of PDEs; Reagents; Smoothness

We study the large-time behavior of hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional external potential forcing. The external force tends to compete with alignment which makes the large time behavior very dif...