An Introduction to the Mathematical Theory of the Navier-Stokes Equations Steady-State Problems /

• Main Author: Galdi, G.P (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Fluid mechanics.; Partial Differential Equations.; Engineering Fluid Dynamics.; Applications of Mathematics.; Ordinary Differential Equations.

The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties  include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains....

Table of Contents:

• Steady-State Solutions of the Navier–Stokes Equations: Statement of the Problem and Open Questions
• Basic Function Spaces and Related Inequalities
• The Function Spaces of Hydrodynamics
• Steady Stokes Flow in Bounded Domains
• Steady Stokes Flow in Exterior Domains
• Steady Stokes Flow in Domains with Unbounded Boundaries
• Steady Oseen Flow in Exterior Domains
• Steady Generalized Oseen Flow in Exterior Domains
• Steady Navier–Stokes Flow in Bounded Domains
• Steady Navier–Stokes Flow in Three-Dimensional Exterior Domains. Irrotational Case
• Steady Navier–Stokes Flow in Three-Dimensional Exterior Domains. Rotational Case
• Steady Navier–Stokes Flow in Two-Dimensional Exterior Domains
• Steady Navier–Stokes Flow in Domains with Unbounded Boundaries
• Bibliography
• Index.