Genta KAWAHARA

Constrained Minimization for Extracting Unstable Periodic Orbits from Shell-model Turbulence

Developed turbulence represents a canonical example of chaos, whose dynamics can be characterized in terms of invariant solutions embedded within the turbulent attractor. We propose an algorithm for examining such invariant solutions based on a constrained minimization problem. S...

Orbital instability for moderately developed Couette turbulence

We perform a long-time Lyapunov analysis of plane Couette turbulence up to friction Reynolds number h Superscript plus Baseline equals 269 h + = 269 $h^+=269$ . The energy of the leading Lyapunov vector is predominantly concentrated in the buffer layer, with characteristic stream...