About nonlinear geometric optics

Eric Dumas (1)

1 IF - Institut Fourier

We give an idea of the evolution of mathematical nonlinear geometric optics from its foundation by Lax in 1957, and present applications in various fields of mathematics and physics.

Mots clés: long waves; High-frequency analysis; nonlinear geometric optics; resonances; caustics; reflections; shocks; boundary layers; diffractive optics; large amplitudes; transparency; long waves.

Domaines: Equations aux dérivées partielles [math.AP]

Eric Dumas. About nonlinear geometric optics. 2005. ⟨hal-00014461⟩