Derivation of the Leroux System as the Hydrodynamic Limit of a Two-Component Lattice Gas

Author:

Fritz József,Tóth Bálint

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference26 articles.

1. Bressan, A.: Hyperbolic Systems of Conservation Laws: The One Dimensional Cauchy Problem. Oxford Lecture Series in Math. Appl. 20. Oxford: Oxford Univ. Press, 2000

2. DiPerna, R.J.: Convergence of approximate solutions to conservation laws. Arch. Rat. Mech. Anal. 82, 27–70 (1983)

3. Ethier, S.N., Kurtz, T.G.: Markov Processes: Characterization and Convergence. New York: J. Wiley, 1986

4. Fritz, J.: An Introduction to the Theory of Hydrodynamic Limits. Lectures in Mathematical Sciences 18. Graduate School of Mathematics, Univ. Tokyo, 2001

5. Fritz, J.: Entropy pairs and compensated compactness for weakly asymmetric systems. Advanced Studies in Pure Mathematics 39, 143–172 (2004)

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