A traveling wave bifurcation analysis of turbulent pipe flow
DOI10.1088/1361-6544/ac9504zbMath1506.34072arXiv2108.09990OpenAlexW3195085113MaRDI QIDQ5042393
Maximilian Engel, Björn de Rijk, Christian Kuehn
Publication date: 19 October 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.09990
bifurcationsturbulencepipe flowtraveling wavesreaction-diffusion-advection systemgeometric singular perturbation theoryheteroclinic loop
Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Transition to turbulence (76F06) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)
Cites Work
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- Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system
- Multiple time scale dynamics
- Fast and slow waves in the FitzHugh-Nagumo equation
- Transversal heteroclinic and homoclinic orbits in singular perturbation problems
- Homoclinic orbits of the FitzHugh-Nagumo equation: the singular-limit
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Spatio-temporal intermittency in coupled map lattices
- Geometric singular perturbation theory for ordinary differential equations
- Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
- A Melnikov method for homoclinic orbits with many pulses
- Homoclinic saddle-node bifurcations and subshifts in a three-dimensional flow
- Global existence results for pattern forming processes in infinite cylindrical domains -- applications to 3D Navier-Stokes problems
- Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Exponential dichotomies and transversal homoclinic points
- Linearized pipe flow to Reynolds number \(10^7\).
- Transient chaos. Complex dynamics in finite-time scales
- Spatiotemporal Intermittency in Coupled Map Lattices
- Experimental investigation of laminar turbulent intermittency in pipe flow
- The Significance of Simple Invariant Solutions in Turbulent Flows
- Homoclinic Bifurcations with Nonhyperbolic Equilibria
- Quantitative measurement of the lifetime of localized turbulence in pipe flow
- On the transient nature of localized pipe flow turbulence
- When Shil'nikov Meets Hopf in Excitable Systems
- Heteroclinic Orbits and Chaotic Dynamics in Planar Fluid Flows
- Linear stability of Poiseuille flow in a circular pipe
- Asymptotic properties of Burgers turbulence
- Averaging and Chaotic Motions in Forced Oscillations
- The Bifurcations of Countable Connections from a Twisted Heteroclinic Loop
- The Existence of Infinitely Many Traveling Front and Back Waves in the FitzHugh–Nagumo Equations
- Direct numerical simulation of a puff and a slug in transitional cylindrical pipe flow
- Stability of Travelling Multiple-Front (Multiple-Back) Wave Solutions of the FitzHugh--Nagumo Equations
- Stability of N-Fronts Bifurcating from a Twisted Heteroclinic Loop and an Application to the Fitzhugh--Nagumo Equation
- A periodic-like solution in channel flow
- Ordinary Differential Equations with Applications
- Single and Multiple Pulse Waves for the FitzHugh–Nagumo
- Applied Analysis of the Navier-Stokes Equations
- Heteroclinic path to spatially localized chaos in pipe flow
- Crises, sudden changes in chaotic attractors, and transient chaos
- The critical point of the transition to turbulence in pipe flow
- Higher-order Melnikov theory for adiabatic systems
- Transition in pipe flow: the saddle structure on the boundary of turbulence
- Turbulence transition in pipe flow: some open questions
- Recent progress in understanding the transition to turbulence in a pipe
- The Onset of Turbulence in Pipe Flow
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