The m-waves of Kelvin are uniformly rotating patch solutions the 2D Euler equations with m-fold rotational symmetry for \(m\ge 2\). For waves sufficiently close to disc, we prove a nonlinear stability result up an arbitrarily long time in \(L^1\) norm vorticity, symmetric perturbations. To obtain this result, first that wave is strict local maximizer energy functional some admissible class patc...

This article describes a new type of in situ ultrahigh-vacuum compatible kelvin probe based on a voice-coil driving mechanism. This design exhibits several advantages over conventional mechanical feed-through and (in situ) piezoelectric devices in regard to the possibility of multiple probe geometry, flexibility of probe geometry, amplitude of oscillation, and pure paranel vibration. Automatic ...