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Englisch
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Beschreibung
An accessible treatment of the main results in the mathematical theory of the Navier-Stokes equations, primarily aimed at graduate students.
An accessible treatment of the main results in the mathematical theory of the Navier-Stokes equations, primarily aimed at graduate students.
Über den Autor
James C. Robinson is a Professor of Mathematics at the University of Warwick.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2016 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781107019669 |
ISBN-10: | 1107019664 |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: |
Robinson, James C.
Rodrigo, José L. Sadowski, Witold |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 235 x 157 x 33 mm |
Von/Mit: | James C. Robinson (u. a.) |
Erscheinungsdatum: | 08.09.2016 |
Gewicht: | 0,933 kg |
Über den Autor
James C. Robinson is a Professor of Mathematics at the University of Warwick.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2016 |
---|---|
Fachbereich: | Allgemeines |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
ISBN-13: | 9781107019669 |
ISBN-10: | 1107019664 |
Sprache: | Englisch |
Einband: | Gebunden |
Autor: |
Robinson, James C.
Rodrigo, José L. Sadowski, Witold |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 235 x 157 x 33 mm |
Von/Mit: | James C. Robinson (u. a.) |
Erscheinungsdatum: | 08.09.2016 |
Gewicht: | 0,933 kg |
Sicherheitshinweis