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We obtain some microlocal estimates of the resonant states associated to a resonance of an -differential operator. More precisely, we show that the normalized resonant states are
A pneumatic tyre in rotating motion with a constant angular velocity is assimilated to a torus whose generating circle has a radius . The contact of the tyre with the ground is schematized as an ellipse with semi-major axis . When and (where is the velocity of the sound), we show that at the rapid time scale , the air motion within a torus periodically excited on its surface generates an acoustic wave . A study of this acoustic wave is conducted and shows that the mode associated to...
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