@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}, pages = {41--98}, publisher = {Scuola normale superiore}, volume = {4e s{\'e}rie, 28}, number = {1}, year = {1999}, zbl = {0957.35087}, mrnumber = {1679078}, language = {fr}, url = {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
,