Modulated pressure waves in large elastic tubes

摘要: Modulational instability is the direct way for emergence of wave patterns and localized structures in nonlinear systems. We show this work that it can be explored framework blood flow models. The whole modified Navier-Stokes equations are reduced to a difference-differential amplitude equation. modulational criterion therefore derived from latter, unstable occurrence discussed on basis parameter model vessel. It found critical an increasing function α, whereas region expands. subsequent modulated pressure waves obtained through numerical simulations, agreement with our analytical expectations. Different classes obtained, their close relationship Mayer discussed.