Reflections of one-dimensional oscillations
Junca, Stéphane
HAL, hal-01312324 / Harvested from HAL
We prove the propagation of oscillations with an asymptotic development for an oscillating initial boundary value problem of semilinear hyperbolic systems in the spirit of J.L.Joly, G.Métivier and J.Rauch. In particular we simplify the Joly-métivier-Rauch's proof for the Cauchy problem. Then, we show the new phenomenon of localised oscillations.
Publié le : 1998-07-04
Classification:  geometric optics,  boundary,  Hyperbolic system,  semi-linear,  MSC: 35L60; 35B15; 78A05,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-01312324,
     author = {Junca, St\'ephane},
     title = {Reflections of one-dimensional oscillations},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-01312324}
}
Junca, Stéphane. Reflections of one-dimensional oscillations. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-01312324/