Geshkovski B, Zuazua E (2019)
Publication Language: English
Publication Type: Other publication type
Publication year: 2019
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.
APA:
Geshkovski, B., & Zuazua, E. (2019). Controllability of one-dimensional viscous free boundary flows.
MLA:
Geshkovski, Borjan, and Enrique Zuazua. Controllability of one-dimensional viscous free boundary flows. 2019.
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