On the profiles of nonlinear geometric optics
Séminaire Goulaouic-Schwartz (1992-1993), Exposé no. 1, 14 p. 
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     title = {On the profiles of nonlinear geometric optics},
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     language = {en},
     url = {https://www.numdam.org/item/SEDP_1992-1993____A1_0/}
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Joly, J. L.; Métivier, G.; Rauch, J. On the profiles of nonlinear geometric optics. Séminaire Goulaouic-Schwartz (1992-1993), Exposé no. 1, 14 p.. https://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. | Zbl | MR

[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. | Zbl | MR

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

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

[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 | Zbl | MR

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

[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. | Zbl | MR

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

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

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

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

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