A Melnikov function for the break-up of closed streamlines in steady Navier-Stokes flows

Physics of Fluids

Volumn 14, Issue 5, 2002, Pages 1572-1579

  Yannacopoulos, A N ^a   Rowlands, G ^b   King, G P ^b  

^a UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; FUNCTIONS; NAVIER STOKES EQUATIONS; TRANSPORT PROPERTIES; VISCOUS FLOW; VORTEX FLOW;

MELNIKOV FUNCTIONS;

STEADY FLOW;

NAVIER-STOKES EQUATIONS; STEADY FLOW; STREAMLINE (FLOW);

EID: 0036572991     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1459718     Document Type: Article

References (21)

1. On steady laminar flow with closed streamlines at large Reynolds number
2. Chaotic advection in bounded Navier-Stokes flows
3. Navier-Stokes equations on an exterior circular domain
4. Zero viscosity limit for analytic solutions of the Navier-Stokes equations on a half space: II. Construction of the Navier-Stokes solution
5. A simple derivation of the Mel'nikov condition for the appearance of homoclinic points
6. Homoclinic points in higher dimensional dynamic-systems
7. Chaotic behavior in slowly varying systems of non-linear differential-equations
8. Existence of periodic and homoclinic trajectories for weakly coupled systems of nonlinear ordinary differential-equations
9. Sur la topologie des ecoulements stationaries des fluides parfaits
10. Viscous perturbations of vorticity conserving flows and separatrix splitting
11. On the integrability and perturbation of three dimensional fluid flows with symmetry
12. Reduction of three-dimensional volume-preserving flows by symmetry
13. Flux and differences in action for continuous-time Hamiltonian-systems
14. Eulerian diagnostics for Lagrangian chaos in three dimensional Navier-Stokes flows
15. Predicting chaotic dispersion with Eulerian symmetry measures: Wavy Taylor-vortex flow
16. Transition in circular Couette flow
17. Axial dispersion in the Taylor vortex: An application of the slaving principle
18. Mixing and particle dispersion in the wavy vortex regime of Taylor-Couette flow