Imperial College London


Faculty of EngineeringDepartment of Aeronautics

Chair in Aerodynamics



+44 (0)20 7594 5548s.chernyshenko Website




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BibTex format

author = {Goulart, PJ and Chernyshenko, SI},
pages = {2971--2976},
title = {Stability analysis of fluid flows using sum-of-squares},
year = {2010}

RIS format (EndNote, RefMan)

AB - In this paper we present a new method for assessing the stability of finite-dimensional approximations to the Navier-Stokes equation for fluid flows. Approximations to the Navier-Stokes equation typically take the form of a set of linear ODEs with an additional bilinear term that conserves the total energy of the system state. We suggest a structured method for generating Lyapunov functions using sum-of-squares optimization that exploits this energy conservation property. We provide a numerical example demonstrating the use of this technique to assess the stability of a model of a shear flow between infinite parallel plates. © 2010 AACC.
AU - Goulart,PJ
AU - Chernyshenko,SI
EP - 2976
PY - 2010///
SP - 2971
TI - Stability analysis of fluid flows using sum-of-squares
ER -