Navier-Stokes equations in planar domains
1. Introduction2. Existence and uniqueness of smooth solutions -- 3. Estimates for smooth solutions -- 4. Extension of the solution operator -- 5. Measures as initial data -- 6. Asymptotic behavior for large time -- A. Some theorems from functional analysis -- 7. Introduction -- 8. Notation -- 9. Fi...
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Sprache: | eng |
Veröffentlicht: |
London
Imperial College Press
2013
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Online Zugang: | Inhaltsverzeichnis Inhaltstext |
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Zusammenfassung: | 1. Introduction2. Existence and uniqueness of smooth solutions -- 3. Estimates for smooth solutions -- 4. Extension of the solution operator -- 5. Measures as initial data -- 6. Asymptotic behavior for large time -- A. Some theorems from functional analysis -- 7. Introduction -- 8. Notation -- 9. Finite difference approximation to second-order boundary-value problems -- 10. From Hermitian derivative to the compact discrete biharmonic operator -- 11. Polynomial approach to the discrete biharmonic operator -- 12. Compact approximation of the Navier-Stokes equations in streamfunction formulation -- 13. Eigenfunction approach for uxxt - uxxx = f(x,t) -- 14. Numerical simulations of the driven cavity problem. Literaturverz. S. 287 - 297 |
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Beschreibung: | XII, 302 S. graph. Darst. 24 cm |
ISBN: | 9781848162754 978-1-84816-275-4 |