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Hydrodynamic limit for a nongradient system in infinite volume

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  • Perrut, Anne

Abstract

The hydrodynamic limit of the symmetric generalized exclusion process on the torus [0,1) has previously been proved to be a nonlinear diffusive equation. We consider in this paper this model in infinite volume. We prove that the H-1 norm of the difference between the process and the solution of the hydrodynamic equation goes to zero.

Suggested Citation

  • Perrut, Anne, 1999. "Hydrodynamic limit for a nongradient system in infinite volume," Stochastic Processes and their Applications, Elsevier, vol. 84(2), pages 227-253, December.
    • Handle: RePEc:eee:spapps:v:84:y:1999:i:2:p:227-253
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