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Constructive Euler hydrodynamics for one-dimensional attractive particle systems

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Abstract

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.

Most cited references12

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Solutions in the large for nonlinear hyperbolic systems of equations

(1965)
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Scaling Limits of Interacting Particle Systems

(1999)
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Non-equilibrium behaviour of a many particle process: Density profile and local equilibria

(1981)
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Author and article information

Journal
2017-01-27
1701.07994