A systematic perturbation expansion of Navier-Stokes input-output dynamics links linear resolvent analysis to quadratic streak generation and higher-order reinforcement, identifying a critical amplitude where weakly nonlinear behavior breaks down into sustained unsteadiness.
On a self-sustaining process in shear flows,
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From oblique-wave forcing to streak reinforcement: A perturbation-based frequency-response framework
A systematic perturbation expansion of Navier-Stokes input-output dynamics links linear resolvent analysis to quadratic streak generation and higher-order reinforcement, identifying a critical amplitude where weakly nonlinear behavior breaks down into sustained unsteadiness.