 Howard's semicircle theorem

ID: howard-s-semicircle-theorem

If an inviscid shear-flow mode has complex wave speed

c

and

U_{-} \leq U \leq U_{+}

, then

(Re c - \frac{U _{+} + U _{-}}{2})^{2} + (Im c)^{2} \leq (\frac{U _{+} - U _{-}}{2})^{2} .

 New to topics? Read the docs here!