@article{M2AN_1988__22_3_469_0, author = {Le Floch, Philippe and Nedelec, J. C.}, title = {Asymptotic time-behavior for weighted scalar conservation laws}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {469--475}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {22}, number = {3}, year = {1988}, mrnumber = {958879}, zbl = {0683.35051}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1988__22_3_469_0/} }
TY - JOUR AU - Le Floch, Philippe AU - Nedelec, J. C. TI - Asymptotic time-behavior for weighted scalar conservation laws JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1988 SP - 469 EP - 475 VL - 22 IS - 3 PB - AFCET - Gauthier-Villars PP - Paris UR - http://archive.numdam.org/item/M2AN_1988__22_3_469_0/ LA - en ID - M2AN_1988__22_3_469_0 ER -
%0 Journal Article %A Le Floch, Philippe %A Nedelec, J. C. %T Asymptotic time-behavior for weighted scalar conservation laws %J ESAIM: Modélisation mathématique et analyse numérique %D 1988 %P 469-475 %V 22 %N 3 %I AFCET - Gauthier-Villars %C Paris %U http://archive.numdam.org/item/M2AN_1988__22_3_469_0/ %G en %F M2AN_1988__22_3_469_0
Le Floch, Philippe; Nedelec, J. C. Asymptotic time-behavior for weighted scalar conservation laws. ESAIM: Modélisation mathématique et analyse numérique, Tome 22 (1988) no. 3, pp. 469-475. http://archive.numdam.org/item/M2AN_1988__22_3_469_0/
[1] The formation and decay of shocks for a conservation law in several dimensions, Arch. Rat. M.A. 64 (1977) pp. 47-57. | MR | Zbl
,[2] Characteristics in hyperbolic conservation law, in « Nonlinear analysis and mechanics : Heriot-Watt Symposium vol. 1 », Knops Editor (1983). | Zbl
,[3]. Boundary conditions for nonlinear hyperbolic systems of conservation laws, Internal Report (1987), École Polytechnique ; J. of Diff. Eq., Vol. 71, No 1, jan. 1988, pp. 93-122. | MR | Zbl
, ,[4] Condition à la limite pour un système de lois de conservation, Note Compt. Rend. Acad. Sc. Paris, t. 304, Série I, n° 3, pp. 75-78 (1987). | MR | Zbl
, ,[5] Solutions with shocks, an example of Ll -contractive semi-group, Comm. Pure Appl. Math., 24 (1971) pp. 125-132. | MR | Zbl
,[6] First order quasi-linear equations in several independant variables, Math. USSR Sb., 10 1970) n° 2, pp. 217-243.
,[7] Conservation laws and the mathematical theory of shock waves, CBMS Ser. Appl. Math, vol. 11, SIAM, Philadelphia (1973). | MR | Zbl
,[8] Explicit formula for scalar conservation laws with boundary conditions, to appear in Math. Meth. in Appl. Sc. (1988) vol. 10. | MR | Zbl
,[9] Generalized Riemann problem and boundary conditions for systems of conservation laws, Thesis (1987) École Polytechnique (France).
,[10] Explicit formula for weighted scalar conservation laws, Internal Report n° 144 (janv. 1986) of École Polytechnique ; accepted for publication to Transactions of A.M.S.
, ,[11] Lois de conservation scalaires avec poids, Note Compt. Rend. Acad. Sc. Paris, t. 301, Série I, n° 17, pp. 1301-1304 (1985). | MR | Zbl
, ,[12] Un développement asymptotique pour le problème de Riemann généralisé, Compt. Rend. Acad. Se. Paris, t. 304, Série I, n° 4, pp. 119-122 (1987) and Ann. Henri Poincaré, Analyse non linéaire. | MR | Zbl
, ,[13] Source-solutions and asymptotic behavior in conservation laws, J. of Diff. Eq. 51, 419-441 (1984). | MR | Zbl
, ,[14] Discontinuous solutions of nonlinear differential equations, A.M.S. Transal., Ser. 2, 26, pp. 95-172 (1963).
,[15] Existence of solutions to singular conservation laws, Siam J. Math. Anal., vol. 15, n° 6 (nov. 1984). | MR | Zbl
,[16] Reaction-Diffusion Equations and Shock Waves, Springer, Verlag 258 (1983).
,[17] Linear and Non linear Waves, Wiley Interscience, New York (1974). | MR | Zbl
,