I have done some research with Miroslav Krstic and Markos Papageorgiou on the feedback control and the numerical approximation of fluid models. More specifically, I have worked on 1-D Navier-Stokes models for compressible Newtonian fluids and 1-D Saint-Venant models for incompressible Newtonian fluids. Here is a list of papers that contain results on fluid models.
I. Karafyllis and M. Krstic, “Global Stabilization of Compressible Flow Between Two Moving Pistons”, SIAM Journal on Control and Optimization, 60(2), 2022, pp. 1117-1142.
I. Karafyllis and M. Krstic, “Spill-Free Transfer and Stabilization of Viscous Liquid”, IEEE Transactions on Automatic Control, 67(9), 2022, pp. 4585-4597.
I. Karafyllis, F. Vokos and M. Krstic, “Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction”, ESAIM Control, Optimisation and Calculus of Variations, 28, 2022, 81.
I. Karafyllis, F. Vokos and M. Krstic, “Output-Feedback Control of Viscous Liquid-Tank System and its Numerical Approximation”, Automatica, 149, 2023, 110827.
I. Karafyllis and M. Papageorgiou, “A Particle Method for 1-D Compressible Fluid Flow”, Studies in Applied Mathematics, 151(4), 2023, pp. 1282–1331.
I. Karafyllis and M. Krstic, “Control of a Linearized Viscous Liquid-Tank System with Surface Tension”, SIAM Journal on Control and Optimization, 62(2), 2024, pp. 1034-1059.
I. Karafyllis, F. Vokos and M. Krstic, “Feedback Stabilisation of Tank-Liquid System with Robustness to Surface Tension”, to appear in the International Journal of Control (see also arXiv:2301.01688 [math.OC]).
I. Karafyllis, F. Vokos and M. Krstic, “A Complete Inverse Optimality Study for a Tank-Liquid System”, submitted to Systems & Control Letters (see also arXiv:2405.16535 [math.OC]).