On the profiles of nonlinear geometric optics
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1992-1993), Exposé no. 1, 14 p.
@article{SEDP_1992-1993____A1_0,
     author = {Joly, J. L. and M\'etivier, G. and Rauch, J.},
     title = {On the profiles of nonlinear geometric optics},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
     note = {talk:1},
     pages = {1--14},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1992-1993},
     mrnumber = {1240542},
     language = {en},
     url = {http://www.numdam.org/item/SEDP_1992-1993____A1_0/}
}
TY  - JOUR
AU  - Joly, J. L.
AU  - Métivier, G.
AU  - Rauch, J.
TI  - On the profiles of nonlinear geometric optics
JO  - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
N1  - talk:1
PY  - 1992-1993
SP  - 1
EP  - 14
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://www.numdam.org/item/SEDP_1992-1993____A1_0/
LA  - en
ID  - SEDP_1992-1993____A1_0
ER  - 
%0 Journal Article
%A Joly, J. L.
%A Métivier, G.
%A Rauch, J.
%T On the profiles of nonlinear geometric optics
%J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz"
%Z talk:1
%D 1992-1993
%P 1-14
%I Ecole Polytechnique, Centre de Mathématiques
%U http://www.numdam.org/item/SEDP_1992-1993____A1_0/
%G en
%F SEDP_1992-1993____A1_0
Joly, J. L.; Métivier, G.; Rauch, J. On the profiles of nonlinear geometric optics. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1992-1993), Exposé no. 1, 14 p. http://www.numdam.org/item/SEDP_1992-1993____A1_0/

[G] J. Glimm, Solutions in the large for nonlinear systems of conservation laws, Comm. Pure Appl. Math. 18(1965), 685-715. | MR | Zbl

[GL] J. Glimm and P.D. Lax, Decay of solutions of systems of nonlinear hyperbolic hyperbolic conservation laws, Memoirs A.M.S. 101, 1970. | Zbl

[Je] A. Jeffrey, Breakdown of the solution to a completely exceptional system of hyperbolic equations, J. Math. Anal. Appl. 45(1974) 375-381. | MR | Zbl

[Jo] F. John, Formation of singularities in one-dimensional nonlinear wave propagation, Comm. Pure Appl. Math. 37(1974) 377-405. | MR | Zbl

[JMR1] J-L. Joly, G. Metivier, and J. Rauch, Resonant one dimensional nonlinear geometric optics, Journal of Functional Analysis, to appear. | MR | Zbl

[JMR2] J-L. Joly, G. Metivier, and J. Rauch. Formal and rigorous nonlinear high frequency hyperbolic waves, pp. 121-143 in Proceedings of Varenna Conference on Nonlinear Hyperbolic Equations and Field Theory, M.K. Murthy and S. Spagnolo eds., Pitman Research Notes in Math. 1992 | MR | Zbl

[JMR3] J-L. Joly, G. Metivier, and J. Rauch, Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves, Duke Math. J., to appear | MR | Zbl

[JMR4] J-L. Joly, G. Metivier. and J. Rauch, Unbounded variation amplification for 3x3 systems of conservation laws, preprint.

[H] J. Hunter, Strongly nonlinear hyperbolic waves, in Notes on Numerical Fluid Dynamics Vol.24, Nonlinear Hyperbolic Equations, eds. J. Ballman and R. Jeltsch, Vieweg, Braunschweig, 1989. | MR | Zbl

[L] P.D. Lax, Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math. 10(1957), 537-566. | MR | Zbl

[MR] A. Majda and R. Rosales, Resonantly interacting weakly nonlinear hyperbolic waves I, a single space variable. Stud.Appl.Math. 71(1984)149-179. | MR | Zbl

[P] R. Pego, Some explicit resonating waves in weakly nonlinear gas dynamics, Stud. Appl. Math. 71(1984)263-270. | MR | Zbl

[R] J. Rauch, BV estimates fail for most quasilinear hyperbolic systems in dimension greater than one, Comm.Math.Phys. 106(1986)484-489. | MR | Zbl

[S] S. Schochet, Resonant nonlinear geometric optics for weak solutions of conservation laws, preprint. | MR | Zbl