Bounds for the Threshold Amplitude for Plane Couette Flow
نویسنده
چکیده
We prove nonlinear stability for finite amplitude perturbations of plane Couette flow. A bound of the solution of the resolvent equation in the unstable complex half-plane is used to estimate the solution of the full nonlinear problem. The result is a lower bound, including Reynolds number dependence, of the threshold amplitude below which all perturbations are stable. Our result is an improvement of the corresponding bound derived in [3].
منابع مشابه
Subcritical finite-amplitude solutions for plane Couette flow of viscoelastic fluids.
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