Transformation de Kelvin et ondes non linéaires globales
Godin, Paul
Journées équations aux dérivées partielles, (1993), p. 1-6 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1993-01-01
@article{JEDP_1993____A4_0,
     author = {Godin, Paul},
     title = {Transformation de Kelvin et ondes non lin\'eaires globales},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1993},
     pages = {1-6},
     mrnumber = {95a:35091},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/JEDP_1993____A4_0}
}

Godin, Paul. Transformation de Kelvin et ondes non linéaires globales. Journées équations aux dérivées partielles,  (1993), pp. 1-6. http://gdmltest.u-ga.fr/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 87c:35111 | Zbl 0612.35090

[3] P. Godin, Global sound waves for quasilinear second order wave equations, preprint. | Zbl 0790.35071

[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 94b:35067 | Zbl 0780.35017

[6] S. Helgason, Wave equations on homogeneous spaces, Springer Lecture Notes in Math. 1077 (1984), 254-287. | MR 86c:58141 | Zbl 0547.58037

[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 88c:35099 | Zbl 0649.35060

[8] L. Hörmander, The lifespan of classical solutions of non-linear hyperbolic equations, Springer Lecture Notes in Math. 1256 (1987), 214-280. | Zbl 0632.35045

[9] S. Klainerman, Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math. 38 (1985), 321-332. | MR 86i:35091 | Zbl 0635.35059

[10] S. Klainerman, The null condition and global existence to nonlinear wave equations, Lect. Appl. Math. 23, vol. I (1986), 293-326. | MR 87h:35217 | Zbl 0599.35105

[11] T.T. Li et Y.M. Chen, Initial value problems for nonlinear wave equations, Comm. Part. Diff. Eq. 13 (1988), 383-422. | MR 89e:35102 | Zbl 0662.35071

[12] G. Metivier, Ondes soniques, J. Math. Pures Appl. 70 (1991), 197-268. | MR 92g:35045 | Zbl 0728.35068

[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 84g:35036 | Zbl 0518.35046