Springer Tracts in Natural Philosophy S.

1 total work

An Introduction to the Mathematical Theory of the Navier-Stokes Equations

by G.P. Galdi

Published March 1994

This is the first of four volumes on the Navier-Stokes equations, focusing on linearized steady problems. The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behaviour. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domains with noncompact boundaries. Throughout the work, main problems which remain unsolved are pointed out and for some of these conjectures are offered. New results are presented throughout, while several classical subjects are treated in a completely original way. The work is mathematically self-contained, requiring no specific background. The 200-plus exercises along with the chapter summaries and questions make this a textbook for any theoretical fluid mechanics course; it is suitable as well for self-teaching.