Mathematical Theory of a Fluid Flow Around a Rotating and Translating Body
The book deals with qualitative analysis of the mathematical model of flow of a viscous incompressible fluid around a translating and rotating body. The considered mathematical model, which represents the description of the flow in a coordinate system attached to the body, is derived from the Navier...
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| Hauptverfasser: | , , , |
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| Körperschaft: | |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Ausgabe: | 1st ed. 2025. |
| Schriftenreihe: | Springer Monographs in Mathematics,
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| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.1007/978-3-031-84120-0 |
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Inhaltsangabe:
- Part I Introduction and preliminaries
- 1 Introduction
- 2 Preliminaries
- Part II Linear theory
- 3 The steady Stokes — type problem
- 4 The Steady Oseen — type problem
- 5 Representation formula and asymptotic behavior
- 6 Artificial boundary conditions for Oseen type problem
- 7 The Oseen-type problem: a weak solution in anisotropical L2 -spaces
- 8 Stokes– and Oseen–type operators: spectral theory and generated semigroups
- Part III Navier-Stokes type equations
- 9 The stationary Navier–Stokes–type problem
- 10 Pointwise decay for the stationary Navier–Stokes type problem
- 11 Asymptotic behavior of the solutions of the Navier–Stokes type problem
- 12 The nonstationary Navier–Stokes–type problem
- Part IV Appendix
- 13 Appendix.