Constructive Euler hydrodynamics for one-dimensional attractive particle systems

C Bahadoran (1) , Hervé Guiol (2) , K Ravishankar (3) , E Saada (4)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 TIMC-IMAG-BCM - Biologie Computationnelle et Mathématique
3 NYU–ECNU Institute of Mathematical Sciences at NYU Shanghai
4 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

We review a (constructive) approach first introduced in [6] and further developed in [7, 8, 38, 9] for hydrodynamic limits of asymmetric attractive particle systems, in a weak or in a strong (that is, almost sure) sense, in an homogeneous or in a quenched disordered setting.

Domaines: Probabilités [math.PR]

C Bahadoran, Hervé Guiol, K Ravishankar, E Saada. Constructive Euler hydrodynamics for one-dimensional attractive particle systems. 2017. ⟨hal-01447200v1⟩