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.

Reviews

From the reviews of the second edition:“The book yields a comprehensive, detailed and self-contained study of the basic mathematical properties of different boundary-value problems related to the Navier-Stokes equations. These properties include existence, uniqueness and regularity of solutions. … The book contains more than 400 carefully choosen exercises at different levels of difficulty that will help the young researcher. The comprehensive bibliography contains more than 500 items. Galdi’s monograph can strongly be recommended to every mathematician (and theoretical physicist) interested in mathematical fluid mechanics or in PDEs.” (Jürgen Socolowsky, Zentralblatt MATH, Vol. 1245, 2012)