Compute stability exponents for Navier–Stokes periodic states

Evaluate the stability exponents of a collection of unstable periodic states of the Navier–Stokes equations to enable direct comparison with predictions produced by the spatiotemporal zeta function.

Background

The zeta-function approach requires stability data for prime periodic states to build convergent expansions and compute observables. For Navier–Stokes flows, many exact coherent structures have been computed, but their spatiotemporal stability exponents within the present formalism are not yet available.

Establishing these exponents would be a critical step toward applying the theory to realistic turbulent systems and validating the formalism beyond discrete models.