Imperial College London
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ProfessorSergeiChernyshenko

Faculty of Engineering, Department of Aeronautics

Chair in Aerodynamics
 
 
 
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Contact

 

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

 
 
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Location

 

211aCity and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Goulart:2010:10.1109/acc.2010.5531305,
author = {Goulart, PJ and Chernyshenko, SI},
doi = {10.1109/acc.2010.5531305},
pages = {2971--2976},
title = {Stability analysis of fluid flows using sum-of-squares},
url = {http://dx.doi.org/10.1109/acc.2010.5531305},
year = {2010}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
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
DO  - 10.1109/acc.2010.5531305
EP  - 2976
PY  - 2010///
SP  - 2971
TI  - Stability analysis of fluid flows using sum-of-squares
UR  - http://dx.doi.org/10.1109/acc.2010.5531305
ER  -
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