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Teoriya Veroyatnostei i ee Primeneniya, 2000, Volume 45, Issue 4, Pages 694–717
DOI: https://doi.org/10.4213/tvp499 (Mi tvp499) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Hydrodynamic limit for a nongradient interacting particle system with stochastic reservoirs

C. Landimab, M. Mourraguia, S. Sellami

a Université de Rouen, France
b IMPA, Brasil
Full-text PDF (1132 kB) Citations (11)
DOI: https://doi.org/10.4213/tvp499
Abstract: We consider a nongradient interacting particle system whose macroscopic behavior is described by a $d$-dimensional nonlinear parabolic equation on a square with boundary conditions. Assuming that the diffusion coefficient is Lipschitz, we prove that the rescaled density field converges to a unique weak solution of the parabolic equation.
Keywords: interacting particle system, hydrodynamic limit, boundary value parabolic equations.
Received: 03.11.1998
English version:
Theory of Probability and its Applications, 2001, Volume 45, Issue 4, Pages 604–623
DOI: https://doi.org/10.1137/S0040585X97978543
Bibliographic databases:
Language: English
Citation: C. Landim, M. Mourragui, S. Sellami, “Hydrodynamic limit for a nongradient interacting particle system with stochastic reservoirs”, Teor. Veroyatnost. i Primenen., 45:4 (2000), 694–717; Theory Probab. Appl., 45:4 (2001), 604–623
Citation in format AMSBIB
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\paper Hydrodynamic limit for a nongradient interacting particle system with stochastic reservoirs
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\jour Theory Probab. Appl.
\yr 2001
\vol 45
\issue 4
\pages 604--623
\crossref{https://doi.org/10.1137/S0040585X97978543}
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  • https://www.mathnet.ru/eng/tvp/v45/i4/p694
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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