Imperial College London
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Professor Grigorios A. Pavliotis

Faculty of Natural Sciences, Department of Mathematics

Professor of Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8564g.pavliotis Website

 
 
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Location

 

736aHuxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Noronha:2017:10.1016/j.physd.2017.02.011,
author = {Noronha, Moreira Antunes Gomes ST and Kalliadasis, S and Papageorgiou, DT and Pavliotis, GA and Pradas, M},
doi = {10.1016/j.physd.2017.02.011},
journal = {Physica D - Nonlinear Phenomena},
pages = {33--43},
title = {Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation},
url = {http://dx.doi.org/10.1016/j.physd.2017.02.011},
volume = {348},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We present a novel control methodology to control the roughening processes of semilinear parabolic stochastic partial differential equations in one dimension, which we exemplify with the stochastic Kuramoto-Sivashinsky equation. The original equation is split into a linear stochastic and a nonlinear deterministic equation so that we can apply linear feedback control methods. Our control strategy is then based on two steps: first, stabilize the zero solution of the deterministic part and, second, control the roughness of the stochastic linear equation. We consider both periodic controls and point actuated ones, observing in all cases that the second moment of the solution evolves in time according to a power-law until it saturates at the desired controlled value.
AU  - Noronha,Moreira Antunes Gomes ST
AU  - Kalliadasis,S
AU  - Papageorgiou,DT
AU  - Pavliotis,GA
AU  - Pradas,M
DO  - 10.1016/j.physd.2017.02.011
EP  - 43
PY  - 2017///
SN  - 0167-2789
SP  - 33
TI  - Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation
T2  - Physica D - Nonlinear Phenomena
UR  - http://dx.doi.org/10.1016/j.physd.2017.02.011
UR  - http://hdl.handle.net/10044/1/44914
VL  - 348
ER  -
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