Stabilization of Navier Stokes Flows
Stabilization of Navier Stokes Flows presents recent notable progress in the mathematical theory of stabilization of Newtonian fluid flows. Finite-dimensional feedback controllers are used to stabilize exponentially the equilibrium solutions of Navier Stokes equations, reducing or eliminating turbul...
Enregistré dans:
| 主要作者: | |
|---|---|
| 格式: | Livre numérique |
| 语言: | Anglais |
| 出版: |
London :
Springer London
2011.
Cham : Springer Nature |
| 丛编: | Communications and Control Engineering
|
| 在线阅读: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Stabilization of Navier Stokes Flows, Texte imprimé, 9780857290427 • Stabilization of Navier Stokes Flows, Texte imprimé, 9780857290441 • Stabilization of Navier Stokes Flows, Texte imprimé, 9781447126102 |
| 总结: | Stabilization of Navier Stokes Flows presents recent notable progress in the mathematical theory of stabilization of Newtonian fluid flows. Finite-dimensional feedback controllers are used to stabilize exponentially the equilibrium solutions of Navier Stokes equations, reducing or eliminating turbulence. Stochastic stabilization and robustness of stabilizable feedback are also discussed. The text treats the questions: What is the structure of the stabilizing feedback controller? How can it be designed using a minimal set of eigenfunctions of the Stokes Oseen operator? The analysis developed here provides a rigorous pattern for the design of efficient stabilizable feedback controllers to meet the needs of practical problems and the conceptual controllers actually detailed will render the reader s task of application easier still. Stabilization of Navier Stokes Flows avoids the tedious and technical details often present in mathematical treatments of control and Navier Stokes equations and will appeal to a sizeable audience of researchers and graduate students interested in the mathematics of flow and turbulence control and in Navier-Stokes equations in particular. The chief points of linear functional analysis, linear algebra, probability theory and general variational theory of elliptic, parabolic and Navier Stokes equations are reviewed in an introductory chapter and at the end of chapters 3 and 4. |
|---|---|
| Item Description: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9780857290434 |
| ISSN: | 2197-7119 |
| 访问: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |