@article{AFST_1999_6_8_4_649_0,
author = {F. Poupaud},
title = {Global smooth solutions of some quasi-linear hyperbolic systems with large data},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {649--659},
year = {1999},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 8},
number = {4},
doi = {10.5802/afst.947},
mrnumber = {1815159},
zbl = {0978.35028},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.947/}
}
TY - JOUR AU - F. Poupaud TI - Global smooth solutions of some quasi-linear hyperbolic systems with large data JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1999 SP - 649 EP - 659 VL - 8 IS - 4 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.947/ DO - 10.5802/afst.947 LA - en ID - AFST_1999_6_8_4_649_0 ER -
%0 Journal Article %A F. Poupaud %T Global smooth solutions of some quasi-linear hyperbolic systems with large data %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1999 %P 649-659 %V 8 %N 4 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.947/ %R 10.5802/afst.947 %G en %F AFST_1999_6_8_4_649_0
F. Poupaud. Global smooth solutions of some quasi-linear hyperbolic systems with large data. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 8 (1999) no. 4, pp. 649-659. doi: 10.5802/afst.947
[1] ). - On zero pressure gas dynamics. Series on Advances in Mathematics for Applied Sciences, Kinetic Theory and Computing, B. Perthame edt, 22, 1994. | Zbl | MR
[2] ) and ). - Equations de transport unidimensionnelles à coefficients discontinus. C.R.A.S. Série 1, 320:1097-1102, 1995 and - One-dimensional transport equations with discontinuous coefficients. Nonlinear Anal. TMA, 32: 891-933, 1998. | Zbl
[3] ) and ). - Sticky particles and scalar conservation laws. SIAM J. Numer. Anal., 35, no. 6:2317-2328, 1998. | Zbl | MR
[4] ). - Compensated compactness and general systems of conservation laws. Trans. Amer. Math. Soc., 292:383-420, 1985. | Zbl | MR
[5] ). - Solutions in the large for nonlinear hyperbolic systems of equations. Com. Pure Appl. Math., 18:698-715, 1965. | Zbl | MR
[6] ) and ). - Vanishing pressure in gas dynamics equations. ZAMP, 51, no 1: 143-148, 2000. | Zbl | MR
[7] ) and ). - Existence de solutions globales et régulières aux équations d'Euler pour un gaz parfait isentropique. C. R. Acad. Sci. Paris Sér. I Math., 325(7):721-726, 1997 and ). - Global smooth solutions to Euler equation for a perfect gas. Indian Univ. Math. J., 47, no 4: 1397-1432, 1998. | Zbl | MR
[8] ). - Existence globale pour le système des gaz sans pression. C.R.A.S. Série 1, 321:171-174, 1995. | Zbl | MR
[9] ). - Lectures on Nonlinear Hyperbolic Differential Equations,volume 26 of Mathématiques et Applications. Springer, 1997. | Zbl | MR
[10] ). - Hyperbolic systems of conservation laws and the mathematical theory of shock waves. In Regional Conf. in Appl. Math., volume 11, pages 1-48, Philadelphia, 1973. | Zbl | MR
[11] ). - Generalized solutions of Hamilton-Jacobi equations. Pitman, Boston, 1982. | Zbl | MR
[12] ) and ). - Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients. Comm. in PDE, 22:337-358, 1997. | Zbl | MR
[13] ). - Système de lois de conservation I et II. Diderot, Paris, New York, Amsterdam, 1996. | Zbl
[14] ). - Gravitational instability: an approximate theory for large density perturbations. Astron. Astrophys., 5:84, 1970.
Cité par Sources :