Controllability of one-dimensional viscous free boundary flows

Geshkovski B, Zuazua Iriondo E (2021)

Publication Type: Journal article

Publication year: 2021

Journal

SIAM Journal on Control and Optimization Society for Industrial and Applied Mathematics

Book Volume: 59

Pages Range: 1830-1850

Journal Issue: 3

DOI: 10.1137/19M1285354

Abstract

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.

Authors with CRIS profile

Enrique Zuazua Iriondo Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Additional Organisation(s)

Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Universidad Autónoma de Madrid (UAM) ES Spain (ES)

How to cite

APA:

Geshkovski, B., & Zuazua Iriondo, E. (2021). Controllability of one-dimensional viscous free boundary flows. SIAM Journal on Control and Optimization, 59(3), 1830-1850. https://doi.org/10.1137/19M1285354

MLA:

Geshkovski, Borjan, and Enrique Zuazua Iriondo. "Controllability of one-dimensional viscous free boundary flows." SIAM Journal on Control and Optimization 59.3 (2021): 1830-1850.

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