Green's function for Stokeslet at z=0 boundary and velocity components

[germana2006]

I have read the next article and i want to realice the same calculation but i have some doubt

www.chemengr.ucsb.edu/people/faculty/squires/public_html/laugasquires05.pdf

In the section
II. Image systems near a partial slip surface
subsection
a. Set up and boundary conditions

A doubt it's the Green's function for the stokeslet at surface z=0, how it's the expression for r.
And U parallel and perpendicular how it's also the expression at surface z=0.
Thank you very much

 

[Gokul43201]

You do not have the complete URL in the above post - please fix it.

 

[germana2006]

http://www.chemengr.ucsb.edu/people/faculty/squires/public_html/laugasquires05.pdf"

 

[germana2006]

I have try again to insert the link but i don't know what happened.
There are other possibility, in google look for the article:
Brownian motion near a partial-slip boundary: A local probe of the no-slip condition
Eric Lauga, Todd M. squires