We show that if the eccentricity of an ellipse is sufficiently small, then up to isometries it spectrally unique among all smooth domains. do not assume any symmetry, convexity, or closeness ellipse, on class In course proof we also for nearly circular domains, lengths periodic orbits are shorter than perimeter domain must belong singular support wave trace. As a result obtain Laplace spectral ...

several approaches are available to reduce pulsating torque components in permanent magnet motors. one of the known techniques is stator tooth shape modifications. this paper presents an integrated algorithm applicable for tooth shape optimization of permanent magnet motors. this method focuses on the reduced basis technique, finite element analysis and taguchi method and is conducted on tooth ...