Work

A convex approach to hydrodynamic analysis

Year: 2015

Type: conference-paper

Abstract: We study stability and input-to-state properties of incompressible, viscous flows with perturbations that are constant in one of the directions. By taking advantage of this flow structure, we propose a class of Lyapunov and storage functionals and consider exponential stability, induced ℒ2-norms, and input-to-state stability (ISS). For streamwise constant perturbations, we formulate conditions based on matrix inequalities. We show that in the case of polynomial base flow profiles the matrix inequalities can be verified by convex optimization. The proposed method is illustrated by an example of rotating Couette flow.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc.2015.7403365

Authors: Mohamadreza Ahmadi, Giorgio Valmorbida, Antonis Papachristodoulou

Institution: University of Oxford

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Award: G1762970609