Microscopic structure of shocks in one conservation laws
Annales de l'I.H.P. Analyse non linéaire, Volume 12 (1995) no. 2, p. 119-153
@article{AIHPC_1995__12_2_119_0,
     author = {Rezakhanlou, Fraydoun},
     title = {Microscopic structure of shocks in one conservation laws},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     publisher = {Gauthier-Villars},
     volume = {12},
     number = {2},
     year = {1995},
     pages = {119-153},
     zbl = {0836.76046},
     mrnumber = {1326665},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1995__12_2_119_0}
}
Rezakhanlou, Fraydoun. Microscopic structure of shocks in one conservation laws. Annales de l'I.H.P. Analyse non linéaire, Volume 12 (1995) no. 2, pp. 119-153. http://www.numdam.org/item/AIHPC_1995__12_2_119_0/

[1] C.T. Cocozza, Processus des misanthropes, Z. Wahrs. Verw. Gebiete, Vol. 70, 1985, pp. 509-523. | MR 807334 | Zbl 0554.60097

[2] C.M. Dafermos, Generalized characteristics and the structure of solutions of hyperbolic conservation laws, Indiana U. Math. J., Vol. 26, 1977, pp. 1097-1119. | MR 457947 | Zbl 0377.35051

[3] A. Demasi, C. Kipnis, E. Presutti and E. Sadda, Microscopic structure at the shock in the asymmetric simple exclusion, Stochastics, Vol. 27, 1989, pp. 151-165. | MR 1008228 | Zbl 0679.60094

[4] P.A. Ferrari, Shock fluctuations in asymmetric simple exclusions, Probab. Theor. Related Fields, Vol. 91, 1992, pp. 81-101. | MR 1142763 | Zbl 0744.60117

[5] P.A. Ferrari and L.R.G. Fontes, Current fluctuations for the asymmetric simple exclusion process, preprint.

[6] P.A. Ferrari, and L.R.G. Fontes, Shock fluctuations in the asymmetric simple exclusino process, preprint.

[7] A.F. Filippov, Differential equations with discontinuous right-hand side, Mat. Sbornik (N.S.), Vol. 51 (93), 1960, pp. 93-128. | MR 114016 | Zbl 0138.32204

[8] J. Gärtner and E. Presutti, Shock fluctuations in a particle system, Annales de l'I.H.P., Vol. 53, 1989, pp. 1-14. | Numdam | MR 1077463 | Zbl 0705.76054

[9] P.D. Lax, Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Conf. Board Math. Sci., Vol. 11, SIAM, 1973. | MR 350216 | Zbl 0268.35062

[10] P.D. Lax, Hyperbolic systems of conservation laws, Commun. Pure Appl. Math., Vol. 10, 1957, pp. 537-566. | MR 93653 | Zbl 0081.08803

[11] T.M. Liggett, Interacting Particle Systems, Springer, 1985. | MR 776231 | Zbl 0559.60078

[12] F. Rezakhanlou, Evolution of tagged particles in non-reversible particle systems, to appear in Commun. Math. Phys. | MR 1298939 | Zbl 0811.60094

[13] F. Rezakhanlou, Hydrodynamic limit for attractive particle systems on Zd, Commun. Math. Phys., Vol. 140, 1991, pp. 417-448. | MR 1130693 | Zbl 0738.60098

[14] H. Spohn, Large Scale Dynamics for Interacting Particles, Springer, 1991. | Zbl 0742.76002

[15] W.D. Wick, A dynamical phase transition in an infinite particle system, J. Stat. Phys., Vol. 38, 1985, pp. 1015-1025. | MR 802566 | Zbl 0625.76080