A constructive approach to Euler hydrodynamics for attractive processes. Application to k-step exclusion

Stochastic Processes and their Applications

Volumn 99, Issue 1, 2002, Pages 1-30

  Bahadoran, C ^a   Guiol, H ^b   Ravishankar, K ^c   Saada, E ^d  

^a UNIVERSITÉ BLAISE PASCAL   (France)

^b UNIVERSITY OF CAMPINAS   (Brazil)

^c STATE UNIVERSITY OF NEW YORK   (United States)

^d UNIVERSITÉ DE ROUEN   (France)

Author keywords

Contact discontinuities; Entropy solution; Glimm scheme; Hydrodynamics; k step exclusion; Non convex or non concave flux

Indexed keywords

EID: 0036201863     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(01)00158-2     Document Type: Article

References (27)

1. Hammersley interacting particle process and longest increasing subsequences
2. Invariant measures for the zero range process
3. Hydrodynamic equations for attractive particle systems on Z
4. Hydrodynamique des processus de misanthropes spatialement hétérogènes
5. Universal blockage hydrodynamics of driven conservative systems
6. Solutions to nonlinear hyperbolic Cauchy problems without convexity conditions
7. Blocking measures for one-dimensional nonzero mean exclusion processes
8. Processus des misanthropes
9. Global solutions of the Cauchy problem for quasi-linear first-order equations in several space variable
10. The simple exclusion process as seen from a tagged particle
11. Shocks in the Burgers equation and the asymmetric simple exclusion process
12. Hyperbolic systems of conservation laws
13. Some properties of k-step exclusion processes
14. Stochastic properties of the scalar Buckley-Leverett equation
15. The Buckley-Leverett equation with spatially stochastic flux function
16. Scaling Limit of Interacting Particle Systems, Grundlheren
17. First order quasilinear equations with several independent variables
18. d
19. Hyperbolic systems of conservation laws II
20. Hyperbolic systems of conservation laws and the mathematical theory of shock waves
21. Long-range exclusion processes
22. Interacting Particle Systems
23. d
24. Convex Analysis
25. Hydrodynamic scaling, convex duality and asymptotic shapes of growth models
26. Existence of hydrodynamics for the totally asymmetric simple K-exclusion process
27. Systèmes de lois de conservation I