@article{AIHPB_2006__42_1_61_0,
author = {Valk\'o, Benedek},
title = {Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {61--80},
year = {2006},
publisher = {Elsevier},
volume = {42},
number = {1},
doi = {10.1016/j.anihpb.2005.01.004},
mrnumber = {2196971},
zbl = {1092.60042},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpb.2005.01.004/}
}
TY - JOUR AU - Valkó, Benedek TI - Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2006 SP - 61 EP - 80 VL - 42 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpb.2005.01.004/ DO - 10.1016/j.anihpb.2005.01.004 LA - en ID - AIHPB_2006__42_1_61_0 ER -
%0 Journal Article %A Valkó, Benedek %T Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems %J Annales de l'I.H.P. Probabilités et statistiques %D 2006 %P 61-80 %V 42 %N 1 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpb.2005.01.004/ %R 10.1016/j.anihpb.2005.01.004 %G en %F AIHPB_2006__42_1_61_0
Valkó, Benedek. Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems. Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) no. 1, pp. 61-80. doi: 10.1016/j.anihpb.2005.01.004
[1] , Growth fluctuations in interface models, Ann. Inst. H. Poincaré Probab. Statist. 39 (2003) 639-685. | Zbl | MR | Numdam | EuDML
[2] , , Normal Approximation and Asymptotic Expansions, Wiley, 1976. | Zbl | MR
[3] , Processus des misanthropes, Z. Wahrscheinlichkeitstheorie Verw. Gebiete 70 (1985) 509-523. | Zbl | MR
[4] , , The validity of nonlinear geometric optics for weak solutions of conservation laws, Commun. Math. Phys. 98 (1985) 313-347. | Zbl | MR
[5] , , , Diffusive limit of asymmetric simple exclusion, Rev. Math. Phys. 6 (1994) 1233-1267. | Zbl | MR
[6] , , Derivation of the Leroux system as the hydrodynamic limit of a two-component lattice gas, Commun. Math. Phys. 249 (2004) 1-27. | MR | Zbl
[7] , , Weakly nonlinear high frequency waves, Commun. Pure Appl. Math. 36 (1983) 547-569. | Zbl | MR
[8] , , Scaling Limits of Interacting Particle Systems, Springer, 1999. | Zbl | MR
[9] , , , Spectral gap for zero range dynamics, Ann. Probab. 24 (1986) 1871-1902. | Zbl | MR
[10] , , , Hydrodynamical limit for Hamiltonian system with weak noise, Commun. Math. Phys. 155 (1993) 523-560. | Zbl | MR
[11] , , Shocks and excitation dynamics in driven diffusive two channel systems, J. Statist. Phys. 112 (2003) 523-540. | Zbl | MR
[12] , Microscopic structure of shocks in one conservation laws, Ann. Inst. H. Poincaré Anal. Non Lineaire 12 (1995) 119-153. | Zbl | MR | Numdam
[13] , Perturbation of the equilibrium for a totally asymmetric stick process in one dimension, Ann. Probab. 29 (2001) 176-204. | Zbl | MR
[14] , , Between equilibrium fluctuations and Eulerian scaling. Perturbation of equilibrium for a class of deposition models, J. Statist. Phys. 109 (2002) 177-205. | Zbl | MR
[15] , , Onsager relations and Eulerian hydrodynamic limit for systems with several conservation laws, J. Statist. Phys. 112 (2003) 497-521. | Zbl | MR
[16] , , Perturbation of singular equilibria of hyperbolic two-component systems: a universal hydrodynamic limit, Commun. Math. Phys. 256 (2005) 111-157. | Zbl | MR
[17] , Logarithmic Sobolev inequality for generalized simple exclusion processes, Probability Theory Related Fields 109 (1997) 507-538. | Zbl | MR
Cité par Sources :






