On some model equations for pulsatile flow in viscoelastic vessels

18 pages, 6 figures, 40 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/International audienceConsidered 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