Primary References:

P. Constantin and C. Foias, Navier-Stokes Equations, University of Chicago Press, 1988.

C. Foias, O. Manley, R. Rosa and R. Temam, Navier-Stokes Equations and Turbulence, Cambridge University Press, Cambridge, 2001.

R. Temam, Navier-Stokes Equations: Theory and Numerical Analysis, North-Holand. New print published by the AMS 2001.

R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics, 2nd Ed, Applied Math Sci. 68, Springer-Verlag,

1997.

Various classical and recent papers on these topics will be pointed out in the course of the semester.

Additional References:

A. Chorin and J. Marsden,  A Mathematical Introduction to Fluid Mechanics, Springer-Verlag.

C. Doering and J. Gibbon, Applied Analysis of the Navier-Stokes Equations, Cambridge University Press.

J. C. Robinson, Infinite-dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors, Cambridge Texts in Applied Mathematics.

R. Temam, Navier-Stokes Equations and Nonlinear Functional Analysis, CBMS-NSF Regional Conference Series in Applied Math 66, SIAM, 2nd Ed, 1995.