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This document summarizes a mathematical analysis of a model describing the transition from laminar to turbulent pipe flow via traveling wave bifurcations. The model combines a reaction-diffusion system modeling the evolution of turbulence with an advection equation for the centerline velocity. Using techniques from dynamical systems theory like spatial dynamics and geometric singular perturbation theory, the authors prove the existence of a heteroclinic loop between turbulent and laminar states, and establi
- Author
- jesusdark44
- Language
- EN