Large-time asymptotics of the wave fronts length I The Euclidean disk

Yves Colin de Verdìère (1) , David Vicente (2)

1 IF - Institut Fourier
2 IDP - Institut Denis Poisson

In a previous work, the second author gives a formula showing that the wave front issued of a point of the unit disk has a large time linear asymptotics. In the present paper, we give a shorter proof and compute the oscillating corrections.

Mots clés: Euclidean disk; wave front; stationary phase; numerical experiment

Domaines: Géométrie différentielle [math.DG]

Yves Colin de Verdìère, David Vicente. Large-time asymptotics of the wave fronts length I The Euclidean disk. 2020. ⟨hal-03009034v2⟩