  Considered here is the derivation of partial differential equations arising
in pulsatile flow in pipes with viscoelastic walls. The equations are
asymptotic models describing the propagation of long-crested pulses in pipes
with cylindrical symmetry. Additional effects due to viscous stresses in
bio-fluids are also taken into account. The effects of viscoelasticity of the
vessels on the propagation of solitary and periodic waves in a vessel of
constant radius are being explored numerically.
