Controllability of one-dimensional viscous free boundary flows
Entity
UAM. Departamento de MatemáticasPublisher
Society for Industrial and Applied MathematicsDate
2021-05-06Citation
10.1137/19M1285354
SIAM Journal on Control and Optimization 59.3 (2021): 1830-1850
ISSN
0363-0129 (print); 1095-7138 (online)DOI
10.1137/19M1285354Funded by
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No.765579-ConFlex. E.Z. has received funding from the Alexander von Humboldt-Professorship program, the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement NO. 694126-DyCon), the Transregio 154 Project “Mathematical Modelling, Simulation and Optimization Using the Example of Gas Networks” of the German DFG, grant MTM2017-92996-C2-1-R COSNET of MINECO (Spain) and by the Air Force Office of Scientific Research (AFOSR) under Award NO. FA9550-18-1-0242Project
info:eu-repo/grantAgreement/EC/H2020/765579/EU//ConFlex; info:eu-repo/grantAgreement/EC/H2020/694126/EU//DYCON; Gobierno de España. MTM2017-92996-C2-1-REditor's Version
https://doi.org/10.1137/19M1285354Subjects
Controllability; Free boundary problem; Viscous Burgers equation; MatemáticasRights
© 2021 Society for Industrial and Applied MathematicsAbstract
In this work, we address the local controllability of a one-dimensional free boundary problem for a fluid governed by the viscous Burgers equation. The free boundary manifests itself as one moving end of the interval, and its evolution is given by the value of the fluid velocity at this endpoint. We prove that, by means of a control actuating along the fixed boundary, we may steer the fluid to constant velocity in addition to prescribing the free boundary's position, provided the initial velocities and interface positions are close enough
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Google Scholar:Geshkovski, Borjan
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Zuazua Iriondo, Enrique
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