@article{ASNSP_1999_4_28_1_41_0,
author = {Cheverry, Christophe and Sabl\'e-Tougeron, Monique},
title = {Optique g\'eom\'etrique oscillante en pr\'esence d'un grand choc},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
publisher = {Scuola normale superiore},
volume = {4e s{\'e}rie, 28},
number = {1},
year = {1999},
pages = {41-98},
zbl = {0957.35087},
mrnumber = {1679078},
language = {fr},
url = {http://www.numdam.org/item/ASNSP_1999_4_28_1_41_0}
}
Cheverry, Christophe; Sablé-Tougeron, Monique. Optique géométrique oscillante en présence d'un grand choc. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 28 (1999) no. 1, pp. 41-98. http://www.numdam.org/item/ASNSP_1999_4_28_1_41_0/
[B] , "Lectures notes on systems of conservation laws", S.I.S.S.A, Trieste 1994.
[C-R] - , Resonantly interacting weakly nonlinear hyperbolic waves in the presence of shocks: a single space variable in a homogeneous, time independant medium, Stud. Appl. Math. 74 (1986), 117-138. | MR 836293 | Zbl 0652.76046
[Ch] , Justification de l'optique géométrique non linéaire pour un système de lois de conservation, Duke Math. J. 87 (1997), 213-263. | MR 1443528 | Zbl 0914.35078
[Co] , Weakly nonlinear geometric optics for hyperbolic systems of conservation laws with shock waves, Asymptotic Anal. 10 (1995), 117-172. | MR 1324386 | Zbl 0857.35081
[C-ST] - , Perturbations of bounded variation of a strong shock wave, J. Differential Equations 138 (1997), 195-228. | MR 1462267 | Zbl 0881.35071
[D-M] - , The validity of nonlinear geometric optics for weak solutions of conservation laws, Comm. Math. Phys. 98 (1985), 313-347. | MR 788777 | Zbl 0582.35081
[E-S] - , Correctors for the homogenization of conservation laws with oscillatory forcing terms, Asymptotic Anal. 5 (1992), 311-316. | MR 1157236 | Zbl 0766.35026
[G-L] - , "Decay of solutions of systems of hyperbolic conservation laws", Memoirs of the Amer. Math. Soc. n. 101, Providence RI, 1970. | MR 265767 | Zbl 0204.11304
[H-M-R] - - , Resonantly interacting weakly nonlinear hyperbolic waves. II. Several space variables, Stud. Appl. Math. 75 (1986), 187-226. | MR 867874 | Zbl 0657.35084
[J-M-R1] - - , Resonant one dimensional nonlinear geometric optics, J. Funct. Anal. 114 (1993), 106-231. | MR 1220985 | Zbl 0851.35023
[J-M-R2] - - , Focusing at a point and absorption of nonlinear oscillations, Trans. Amer. Math. Soc. 347 (1995), 3921-3969. | MR 1297533 | Zbl 0857.35087
[J] , "Optique géométrique non linéaire, chocs forts, relaxation", thèse, Université de Nice, 1995.
[K] , First order quasilinear equations in several independent variables, Math. USSR-Sb. 10 (1970), 217-243. | Zbl 0215.16203
[L] , Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math. 10 (1957), 537-566. | MR 93653 | Zbl 0081.08803
[M-A] - , Nonlinear geometric optics for hyperbolic mixed problems, In: "Analyse Mathématique et Applications, Contribution en l'honneur de J. L. Lions", Gauthier-Villars, Paris, 1988, pp. 319-356. | MR 956966 | Zbl 0674.35057
[M-R] - , Resonantly interacting weakly nonlinear hyperbolic waves. I. A single space variable, Stud. Appl. Math. 71 (1984), 149-179. | MR 760229 | Zbl 0572.76066
[S] , Resonant nonlinear geometric optics for weak solutions of conservation laws, J. Differential Equations 113 (1994), 473-504. | MR 1297667 | Zbl 0856.35080
[T] , Compacité par compensation: résultats et perspectives, In: "Nonlinear Part. Diff. Eq. and their Appl. Collège de France, vol IV". Research Notes in Math. 84, Pitman, 1983. | MR 716522 | Zbl 0544.47042
[V] , The spaces BV and quasilinear aquations, Math. USSR-Sb. 2 (1967), 225-267. | Zbl 0168.07402
