Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow
Unstable equilibria and invariant manifolds in quasi-two-dimensional Kolmogorov-like flow
Recent studies suggest that unstable, nonchaotic solutions of the Navier-Stokes equation may provide deep insights into fluid turbulence. In this article, we present a combined experimental and numerical study exploring the dynamical role of unstable equilibrium solutions and their invariant manifolds in a weakly turbulent, electromagnetically driven, shallow fluid layer. …