Solid controllability in fluid dynamics. (English) Zbl 1141.76026
Bardos, Claude (ed.) et al., Instability in models connected with fluid flows I. New York, NY: Springer (ISBN 978-0-387-75216-7/hbk). International Mathematical Series (New York) 6, 1-35 (2008).
Summary: We survey results of recent activity towards studying the controllability and accessibility issues for equations of dynamics of incompressible fluids controlled by low-dimensional (degenerate) forcing. We also present new results concerning the controllability of Navier-Stokes/Euler equations on two-dimensional sphere and on a generic Riemannian surface.
For the entire collection see [Zbl 1130.76003].
For the entire collection see [Zbl 1130.76003].
MSC:
| 76D55 | Flow control and optimization for incompressible viscous fluids |
| 76B75 | Flow control and optimization for incompressible inviscid fluids |
| 76-02 | Research exposition (monographs, survey articles) pertaining to fluid mechanics |
| 35Q31 | Euler equations |
| 35Q30 | Navier-Stokes equations |
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