@incollection{JEDP_1993____A4_0, author = {Paul Godin}, title = {Transformation de {Kelvin} et ondes non lin\'eaires globales}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {4}, pages = {1--6}, publisher = {\'Ecole polytechnique}, year = {1993}, mrnumber = {95a:35091}, language = {fr}, url = {https://proceedings.centre-mersenne.org/item/JEDP_1993____A4_0/} }
Paul Godin. Transformation de Kelvin et ondes non linéaires globales. Journées équations aux dérivées partielles (1993), article no. 4, 6 p. https://proceedings.centre-mersenne.org/item/JEDP_1993____A4_0/
[1] S. Alinhac, Temps de vie et comportement explosif des solutions d'équations d'ondes quasilinéaires en dimension deux. I, prépublication 92-77 de l'Université de Paris-Sud, 1992 ; II, prépublication 93-23 de l'Université Paris-Sud, 1993.
[2] D. Christodoulou, Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure Appl. Math. 39 (1986), 267-282. | MR | Zbl
[3] P. Godin, Global sound waves for quasilinear second order wave equations, preprint. | Zbl
[4] P. Godin, article en cours de rédaction.
[5] O. Gues, Développement asymptotique de solutions exactes de systèmes hyperboliques quasilinéaires, Asymptotic Analysis 6 (1993), 241-269. | MR | Zbl
[6] S. Helgason, Wave equations on homogeneous spaces, Springer Lecture Notes in Math. 1077 (1984), 254-287. | MR | Zbl
[7] F. John, Non-existence of global solutions of ▫u = ∂/∂tF(ut) in two and three space dimensions, Supplemento al Rendiconti del Circolo Matematico di Palermo ; Série II, 8 (1985), 229-249. | MR | Zbl
[8] L. Hörmander, The lifespan of classical solutions of non-linear hyperbolic equations, Springer Lecture Notes in Math. 1256 (1987), 214-280. | Zbl
[9] S. Klainerman, Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math. 38 (1985), 321-332. | MR | Zbl
[10] S. Klainerman, The null condition and global existence to nonlinear wave equations, Lect. Appl. Math. 23, vol. I (1986), 293-326. | MR | Zbl
[11] T.T. Li et Y.M. Chen, Initial value problems for nonlinear wave equations, Comm. Part. Diff. Eq. 13 (1988), 383-422. | MR | Zbl
[12] G. Metivier, Ondes soniques, J. Math. Pures Appl. 70 (1991), 197-268. | MR | Zbl
[13] K. Morawetz, Energy decay for star-shaped obstacles, dans P.D.LAX et R. PHILLIPS, Scattering theory, Academic Press (1967).
[14] J. Shatah, Global existence of small solutions to nonlinear evolution equations, J. Diff. Eq. 46 (1982), 409-425. | MR | Zbl