메뉴 건너뛰기
Annales de l'institut Henri Poincare (B) Probability and Statistics
Volumn 45, Issue 4, 2009, Pages 887-909
Hydrodynamic limit for a particle system with degenerate rates
Author keywords

Degenerate rates; Hydrodynamic limit; Porous medium equation; Spectral gap
Indexed keywords

EID: 77952371603     PISSN: 02460203     EISSN: 02460203     Source Type: Journal    
DOI: 10.1214/09-AIHP210     Document Type: Article
Times cited : (56)
References (10)
  • 1
    • 7244262064 scopus 로고    scopus 로고
    • Exclusion processes with degenerate rates: Convergence to equilibrium and tagged particle
    • MR2099727
    • L. Bertini and C. Toninelli. Exclusion processes with degenerate rates: Convergence to equilibrium and tagged particle. J. Statist. Phys. 117 (2004) 549-580. MR2099727.
    • (2004) J. Statist. Phys. , vol.117 , pp. 549-580
    • Bertini, L.1    Toninelli, C.2
  • 2
    • 0031588878 scopus 로고    scopus 로고
    • A microscopic mechanism for the porous medium equation
    • MR1440397
    • S. Feng, I. Iscoe and T. Seppäläinen. A microscopic mechanism for the porous medium equation. Stochastic Process. Appl. 66 (1997) 147- 182. MR1440397.
    • (1997) Stochastic Process. Appl. , vol.66 , pp. 147-182
    • Feng, S.1    Iscoe, I.2    Seppäläinen, T.3
  • 3
    • 0003078083 scopus 로고
    • Nonlinear diffusion limit for a system with nearest neighbor interactions
    • MR0954674
    • M. Z. Guo, G. C. Papanicolau and S. R. S. Varadhan. Nonlinear diffusion limit for a system with nearest neighbor interactions. Comm. Math. Phys. 118 (1988) 31-59. MR0954674.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 31-59
    • Guo, M.Z.1    Papanicolau, G.C.2    Varadhan, S.R.S.3
  • 5
    • 84990628122 scopus 로고
    • Diffusion of color in the simple exclusion process
    • MR1162368
    • J. Quastel. Diffusion of color in the simple exclusion process. Comm. Pure Apl. Math. XLV (1992) 623-679. MR1162368.
    • (1992) Comm. Pure Apl. Math. , vol.45 , pp. 623-679
    • Quastel, J.1
  • 6
    • 0041871837 scopus 로고    scopus 로고
    • Glassy dynamics of kinetically constrained models
    • F. Ritort and P. Sollich. Glassy dynamics of kinetically constrained models. Adv. in Phys. 52 (2003) 219-342.
    • (2003) Adv. in Phys. , vol.52 , pp. 219-342
    • Ritort, F.1    Sollich, P.2
  • 7
    • 0003857294 scopus 로고
    • Large scale dynamics of interacting particles
    • Springer-Verlag
    • H. Spohn. Large Scale Dynamics of Interacting Particles. Texts and Monographs in Physics. Springer-Verlag, 1991.
    • (1991) Texts and Monographs in Physics
    • Spohn, H.1
  • 8
    • 34047232206 scopus 로고    scopus 로고
    • Jamming percolation and glassy dynamics
    • MR2311884
    • C. Toninelli and G. Biroli. Jamming percolation and glassy dynamics. J. Stat. Phys. 126 (2007) 731-763. MR2311884.
    • (2007) J. Stat. Phys. , vol.126 , pp. 731-763
    • Toninelli, C.1    Biroli, G.2
  • 9
    • 0000383614 scopus 로고
    • An introduction to the mathematical theory of the porous medium equation
    • M. C. Delfour and G. Sabidussi (Eds). Kluwer, Dordrecht, MR1260981
    • J. L. Vazquez. An introduction to the mathematical theory of the porous medium equation. In Shape Optimization and Free Boundaries 261-286. M. C. Delfour and G. Sabidussi (Eds). Kluwer, Dordrecht, 1992. MR1260981.
    • (1992) Shape Optimization and Free Boundaries , pp. 261-286
    • Vazquez, J.L.1
  • 10
    • 0003135582 scopus 로고
    • Relative entropy and hydrodynamics of Ginzburg-Landau models
    • MR1121850
    • H.-T. Yau. Relative entropy and hydrodynamics of Ginzburg-Landau models. Lett. Math. Phys. 22 (1991) 63-80. MR1121850.
    • (1991) Lett. Math. Phys. , vol.22 , pp. 63-80
    • Yau, H.-T.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.