Heinz-Otto Kreiss, Jens Lorenz

Initial-Boundary Value Problems and the Navier-Stokes Equations

• Broschiertes Buch

Produktbeschreibung

Provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results.

Produktdetails

• Verlag: Society for Industrial and Applied Mathematics (SIAM)
• Seitenzahl: 420
• Erscheinungstermin: 1. Januar 2004
• Englisch
• Abmessung: 228mm x 152mm x 20mm
• Gewicht: 572g
• ISBN-13: 9780898715651
• ISBN-10: 0898715652
• Artikelnr.: 35489148

Inhaltsangabe

1. Preface to the Classics Edition
2. Errata
3. Introduction
4. Chapter 1: The Navier-Stokes Equations
5. Chapter 2: Constant-Coefficient Cauchy Problems
6. Chapter 3: Linear Variable-Coefficient Cauchy Problems in 1D
7. Chapter 4: A Nonlinear Example: Burgers’ Equations
8. Chapter 5: Nonlinear Systems in One Space Dimension
9. Chapter 6: The Cauchy Problem for Systems in Several Dimensions
10. Chapter 7: Initial-Boundary Value Problems in One Space Dimension
11. Chapter 8: Initial-Boundary Value Problems in Several Space Dimensions
12. Chapter 9: The Incompressible Navier-Stokes Equations: The Spatially
Periodic Case
13. Chapter 10: The Incompressible Navier-Stokes Equations under Initial and
Boundary Conditions
14. Appendix 1: Notations and Results from Linear Algebra
15. Appendix 2: Interpolation
16. Appendix 3: Sobolev Inequalities
17. Appendix 4: Application of the Arzela-Ascoil Theorem
18. References
19. Author Index
20. Subject Index.