Thierry Gallouët : Quelques publications 1993--1999


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Quelques articles avec comité de lecture entre 1993 et 1999
1993
"Nonlinear Elliptic Equations in Rn without Growth Restrictions on the Data".
Journal of Differential Equations, Vol. 105, n 2, october 1993, p. 334-363.
L. Boccardo, T. Gallouët, J. L. Vazquez. pdf version
"Convergence of an Upstream Finite Volume Scheme for a Nonlinear Hyperbolic Equation on a Triangular Mesh".
Numerische Mathematik 66, p. 139-157 (1993).
S. Champier, T. Gallouët, R. Herbin. PostScript version , pdf version
"Convergence d'un schéma de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique".
M2AN, Vol. 27, n 7, 1993, p. 843-861.
R. Eymard, T. Gallouët. pdf version
"A uniqueness result for measure-valued solutions to nonlinear hyperbolic equations".
Diff. Int. Equations, 6, 6, p. 1383-1394 (1993).
T. Gallouët, R. Herbin. PostScript version

1994
"Existence of a Solution to a Coupled Elliptic System".
Appl. Math. Lett., 7 (2), p. 49-55.
T. Gallouët, R. Herbin. PostScript version

1995
"Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation".
Chin. Ann. of Math., 16B: 1, p. 1-14 (1995).
R. Eymard, T. Gallouët, R. Herbin. PostScript version
"An L1 theory of existence and uniqueness of solutions of nonlinear elliptic equations".
Ann. Scuola Norm. Sup. Pisa Cl. Sci., 22, p. 241-273 (1995).
P. Bénilan, L. Boccardo, T. Gallouët, R. Gariepy, M. Pierre, J. L. Vazquez. PostScript version, pdf version

1996
"Summability of the solutions of nonlinear elliptic equations with right hand side measures".
Journal of Convex Analysis, volume 3 (1996), No. 2, p. 361-365.
L. Boccardo, T. Gallouët. pdf version
"Anisotropic equations in L1".
Diff. Int. Equations, vol. 9, p. 209-212 (1996).
L. Boccardo, T. Gallouët, P. Marcellini. pdf version
"Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data".
Ann. Inst. Henri Poincaré, Analyse non linéaire, Vol. 13, numéro 5, 1996, p. 539-551.
L. Boccardo, T. Gallouët, L. Orsina. PostScript version
"Un schéma de Godunov approché".
C. R. Acad. Sci. Paris, t. 323, Série I, p. 77-84 (1996).
T. Gallouët et J. M. Masella. PostScript version

1997
"Nonlinear parabolic equations with measure data".
J. Funct. Anal., 147 (1997), p. 237-258.
L. Boccardo, A. Dall'Aglio, T. Gallouët, L. Orsina. pdf version
"Existence and nonexistence of solutions for some nonlinear elliptic equations".
J. d'analyse mathématique, Vol. 73 (1997), p. 203-223.
L. Boccardo, T. Gallouët, L. Orsina. PostScript version

1998
"Un schéma simple pour les équations de Saint-Venant".
C. R. Acad. Sci. Paris, t. 326, Série I, p. 386-390, 1998.
T. Buffard, T. Gallouët, J. M. Hérard. PostScript version, pdf version
"Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes".
IMA Journal of Numerical Analysis (1998) 18, p. 563-594.
R. Eymard, T. Gallouët, M. Ghilani, R. Herbin. pdf version
"Finite volumes and nonlinear diffusion equations".
M2AN, vol. 32, n. 6, 1998, p. 747-761.
R. Eymard, T. Gallouët, D. Hilhorst, Y. Naït Slimane. pdf version

1999
"On the convergence of the parabolic approximation of a conservation law in several space dimensions".
Chinese Annals of Mathematics (CAM), Ser. B, Vol. 20, n. 1, 1999.
T. Gallouët, F. Hubert. PostScript version
"On an Approximate Godunov Scheme".
Intl. J. Computational Fluid Dynamics, 1999, Vol. 12, pp. 133-149.
J. M. Masella, I. Faille and T. Gallouët. PostScript version pdf version
"Convergence of finite volume schemes for semilinear convection diffusion equations".
Numerische Mathematik, 82, p. 91-116, 1999.
R. Eymard, T. Gallouët, R. Herbin. PostScript version
"Existence and regularity results for some nonlinear parabolic equations".
Adv. Math. Sci. Appl. 9 (1999), no. 2, 1017-1031.
L. Boccardo, A. Dall'Aglio, T. Gallouët, L. Orsina.
"On the regularity of Solutions to Elliptic Equations".
Rendiconti di Matematica, Serie VII, Volume 19, Roma (1999), 471-488.
T. Gallouët, A. Monier. pdf version




Quelques actes de congrès entre 1994 et 1999
1994
"Averaged heterogeous porous media by minimization of flow rate"
ECMOR4, Roeros, juin 1994.
T. Gallouët, D. Guérillot.

1995
"Convergence of a finite volume scheme for a nonlinear hyperbolic equation".
Proceedings of the Third colloquium on numerical analysis, Elsevier, 1995, p. 61-70.
Editors : D.Bainov and V. Covachev.
R. Eymard , T. Gallouët, et R. Herbin. PostScript version
"Elliptic equations with measure data".
Proceedings of the Fifth colloquium on differential equations, Elsevier, 1995, p. 113-122.
Editors : D.Bainov and V. Covachev. PostScript version
"Schémas de volumes finis pour les problèmes d'écoulements en milieu poreux".
Actes du congrès International sur la modélisation des écoulements en milieu poreux (Saint-Etienne). PostScript version

1996
"Rough schemes for complex hyperbolic systems"
Finite Volumes for Complex Applications, Hermès, 1996, p. 1-10.
Editors : F. Benkhaldoun and R. Vilsmeier. PostScript version

1999
"Finite volume approximation of elliptic problems with irregular data".
Finite Volumes for Complex Applications II, Hermès, 1999, 8 pages
Editors : F. Benkhaldoun, D. Hanel and R. Vilsmeier. (communication de R. Herbin, juillet 1999.)
T. Gallouët and R. Herbin. PostScript version . pdf version
"A naïve Riemann solver to compute a nonconservative hyperbolic system".
International Series of Numerical Mathematics, vol. 129, 1999, Birkhäuser Verlag Basel/Switzerland. (communication de J. M. Hérard au "7th International Conference on Hyperbolic Problems", Zurich 1998.)
T. Buffard, T. Gallouët, J. M. Hérard. PostScript version

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