Microscopic structure of shocks in one conservation laws

Fraydoun Rezakhanlou

Annales de l'I.H.P. Analyse non linéaire (1995)

  • Volume: 12, Issue: 2, page 119-153
  • ISSN: 0294-1449

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Rezakhanlou, Fraydoun. "Microscopic structure of shocks in one conservation laws." Annales de l'I.H.P. Analyse non linéaire 12.2 (1995): 119-153. <http://eudml.org/doc/78355>.

@article{Rezakhanlou1995,
author = {Rezakhanlou, Fraydoun},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {disturbances; characteristic lines; second class particles; stochastic models; asymmetric simple exclusion; zero range processes; hydrodynamic equation},
language = {eng},
number = {2},
pages = {119-153},
publisher = {Gauthier-Villars},
title = {Microscopic structure of shocks in one conservation laws},
url = {http://eudml.org/doc/78355},
volume = {12},
year = {1995},
}

TY - JOUR
AU - Rezakhanlou, Fraydoun
TI - Microscopic structure of shocks in one conservation laws
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1995
PB - Gauthier-Villars
VL - 12
IS - 2
SP - 119
EP - 153
LA - eng
KW - disturbances; characteristic lines; second class particles; stochastic models; asymmetric simple exclusion; zero range processes; hydrodynamic equation
UR - http://eudml.org/doc/78355
ER -

References

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  2. [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. Zbl0377.35051MR457947
  3. [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. Zbl0679.60094MR1008228
  4. [4] P.A. Ferrari, Shock fluctuations in asymmetric simple exclusions, Probab. Theor. Related Fields, Vol. 91, 1992, pp. 81-101. Zbl0744.60117MR1142763
  5. [5] P.A. Ferrari and L.R.G. Fontes, Current fluctuations for the asymmetric simple exclusion process, preprint. Zbl0806.60099
  6. [6] P.A. Ferrari, and L.R.G. Fontes, Shock fluctuations in the asymmetric simple exclusino process, preprint. Zbl0801.60094
  7. [7] A.F. Filippov, Differential equations with discontinuous right-hand side, Mat. Sbornik (N.S.), Vol. 51 (93), 1960, pp. 93-128. Zbl0138.32204MR114016
  8. [8] J. Gärtner and E. Presutti, Shock fluctuations in a particle system, Annales de l'I.H.P., Vol. 53, 1989, pp. 1-14. Zbl0705.76054MR1077463
  9. [9] P.D. Lax, Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Conf. Board Math. Sci., Vol. 11, SIAM, 1973. Zbl0268.35062MR350216
  10. [10] P.D. Lax, Hyperbolic systems of conservation laws, Commun. Pure Appl. Math., Vol. 10, 1957, pp. 537-566. Zbl0081.08803MR93653
  11. [11] T.M. Liggett, Interacting Particle Systems, Springer, 1985. Zbl0559.60078MR776231
  12. [12] F. Rezakhanlou, Evolution of tagged particles in non-reversible particle systems, to appear in Commun. Math. Phys. Zbl0811.60094MR1298939
  13. [13] F. Rezakhanlou, Hydrodynamic limit for attractive particle systems on Zd, Commun. Math. Phys., Vol. 140, 1991, pp. 417-448. Zbl0738.60098MR1130693
  14. [14] H. Spohn, Large Scale Dynamics for Interacting Particles, Springer, 1991. Zbl0742.76002
  15. [15] W.D. Wick, A dynamical phase transition in an infinite particle system, J. Stat. Phys., Vol. 38, 1985, pp. 1015-1025. Zbl0625.76080MR802566

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