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.
|Titolo:||Pressureless Euler alignment system with control|
Albi, Giacomo (Corresponding)
|Data di pubblicazione:||2018|
|Appare nelle tipologie:||01.01 Articolo in Rivista|