A three-dimensional autonomous system with unbounded 'bending' solutions

Physica D: Nonlinear Phenomena

Volumn 164, Issue 3-4, 2002, Pages 168-186

  Craik, A D D ^a   Okamoto, H ^b  

^a UNIVERSITY OF ST ANDREWS   (United Kingdom)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

Navier Stokes equations; Rotating solid body; Three dimensional dynamical system; Unbounded solutions

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DIFFERENTIATION (CALCULUS); NAVIER STOKES EQUATIONS; OSCILLATIONS; PROBLEM SOLVING;

AUTONOMOUS SYSTEMS; FREEELY ROTATING SOLID BODIES;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0037089286     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(02)00372-X     Document Type: Article

References (9)

1. Time-dependent solutions of the Navier-Stokes equations for spatially uniform velocity gradients
2. Second-harmonic resonance with parametric excitation and damping
3. The stability of three-dimensional time-periodic flows with ellipsoidal stream surfaces
4. Chaos and the effect of noise in a model of three-mode coupling
5. The resonant-triad nonlinear interaction in boundary-layer transition
6. Bifurcation and 'strange' behaviour in instability saturation by nonlinear three wave mode coupling