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arXiv · 1801.10587

Pressureless Euler alignment system with control

Giacomo Albi·Young-Pil Choi·Axel-Stefan Haeck
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Abstract

We study a non-local hydrodynamic system with control. First we characterize the control dynamics as a sub-optimal approximation to the optimal control problem constrained to the evolution of the pressureless Euler alignment system. We then discuss the critical thresholds that leading to global regularity or finite-time blow-up of strong solutions in one and two dimensions. Finally we propose a finite volume scheme for numerical solutions of the controlled system. Several numerical simulations are shown to validate the theoretical and computational results of the paper.

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Giacomo Albi, Young-Pil Choi, Axel-Stefan Haeck. 2018-01-31. Pressureless Euler alignment system with control. https://arxiv.org/abs/1801.10587

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