
12.9. Maxwell Equations for Viscoelastic Incompressible Fluids 1089
The passage from x, y, z, t to the new independent variables ¯x = x −
R
a
1
dt, ¯y =
y −
R
a
2
dt, ¯z = z −
R
a
3
dt,
¯
t = t in the Oseen equations with variable coefficients (1)
gives the Stokes equations (see Eqs. (1)–(2) in Section 12.7).
The above-described decompositions of the Oseen equations with constant coefficients
remain valid for the Oseen equations with variable coefficients.
⊙ Literature for Section 12.8: C. W. Oseen (1927), H. Lamb (1945), G. K. B at chelor ( 1970), A. D. Polyanin
and A. V. Vyazmin (2012, 2013a), A. D . Polyanin and S. A. Lychev (2014a).
12.9 Maxwell Equations for