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On some model equations for pulsatile flow in viscoelastic vessels
journal contributionposted on 17.06.2020, 21:45 by Dimitrios Mitsotakis, D Dutykh, Q Li, E Peach
© 2019 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.