Citation
R. Carles et J. Rauch, Focusing of spherical nonlinear pulses in R1+3 and scattering, CR AC S I, 332(12), 2001, pp. 1077-1082
Citations number
5
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442
→ ACNP
Volume
332
Issue
12
Year of publication
2001
Pages
1077 - 1082
Database
ISI
SICI code
0764-4442(20010615)332:12<1077:FOSNPI>2.0.ZU;2-7
Abstract
We study the validity of geometric optics for nonlinear wave equations in t
hree space dimensions whose solutions, pulse like, focus at a point. If the
amplitude of the initial data is critical, linear geometric optics is vali
d before the focal point, as well as after The matching between these two r
egimes is described by a scattering operator which enlarges the support of
the waves. (C) 2001 Academie des sciences/Editions scientifiques et medical
es Elsevier SAS.