This edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds.
Read more at http://ebookee.org/Navier-Stokes-Equations-and-Nonlinear-Functional-Analysis-2nd-edition-repost-_1970452.html#ygDL0lpZ5B6gX4Df.99