Textbook on functional analysis applied to PDEs and Navier-Stokes

[Andy Resnick]

I'm looking for a entry-level book discussing the application of functional analysis to differential equations- mostly the Navier-Stokes equation, but PDEs in general. The books I have or have seen are either math books, full of proofs and definitions without application, or physics papers which use the concepts (sequences, norms, Banach spaces,etc) without any clear motivation or discussion of the mathematics. I need something in between the two.

Any advice is appreciated, thanks in advance.

 

[mathlete]

Try this?

Applied Analysis by J. Hunter

http://www.math.ucdavis.edu/~hunter/book/pdfbook.html

It's free at least

 

[Andy Resnick]

Looks perfect! Thank you!