James C. Robinson, José L. Rodrigo, Witold Sadowski

The Three-Dimensional Navier-Stokes Equations

• Gebundenes Buch

Produktbeschreibung

An accessible treatment of the main results in the mathematical theory of the Navier-Stokes equations, primarily aimed at graduate students.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 486
• Erscheinungstermin: 8. September 2016
• Englisch
• Abmessung: 235mm x 157mm x 33mm
• Gewicht: 935g
• ISBN-13: 9781107019669
• ISBN-10: 1107019664
• Artikelnr.: 45153678

Autorenporträt

James C. Robinson is a Professor of Mathematics at the University of Warwick.

Inhaltsangabe

Part I. Weak and Strong Solutions: 1. Function spaces; 2. The Helmholtz
Weyl decomposition; 3. Weak formulation; 4. Existence of weak solutions; 5. The pressure; 6. Existence of strong solutions; 7. Regularity of strong solutions; 8. Epochs of regularity and Serrin's condition; 9. Robustness of regularity; 10. Local existence and uniqueness in H1/2; 11. Local existence and uniqueness in L3; Part II. Local and Partial Regularity: 12. Vorticity; 13. The Serrin condition for local regularity; 14. The local energy inequality; 15. Partial regularity I
dimB(S)
5/3; 16. Partial regularity II
dimH(S)
1; 17. Lagrangian trajectories; A. Functional analysis: miscellaneous results; B. Calderón
Zygmund Theory; C. Elliptic equations; D. Estimates for the heat equation; E. A measurable-selection theorem; Solutions to exercises; References; Index.