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Rayleigh equation for inviscid shear flow

{c}

If an inviscid shear-flow mode has complex wave speed $c$ and $U_-\leq U\leq U_+$, then
$$
\left(\operatorname{Re}c-\frac{U_++U_-}{2}\right)^2
+(\operatorname{Im}c)^2
\leq\left(\frac{U_+-U_-}{2}\right)^2.
$$


Howard's semicircle theorem

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 331 / 1 / i / b / Solution

Howard's semicircle theorem

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Howard's semicircle theorem

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