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Hydrodynamic Limit of Gradient Exclusion Processes with Conductances

Identifieur interne : 001009 ( Main/Curation ); précédent : 001008; suivant : 001010

Hydrodynamic Limit of Gradient Exclusion Processes with Conductances

Auteurs : RBID : Pascal:10-0094903

Descripteurs français

Pascal (Inist)
- Hydrodynamique, Fonction régulière, Solution faible, Effet non linéaire, Modélisation, ..

English descriptors

KwdEn :
- Hydrodynamics, Modelling, Non linear effect, Smooth function, Weak solution.

Abstract

Fix a strictly increasing right continuous with left limits function W: → and a smooth function ϕ: [l, r] → , defined on some interval [l, r] of , such that 0 < b ? ϕ' ? b^-1. On the diffusive time scale, the evolution of the empirical density of exclusion processes with conductances given by W is described by the unique weak solution of the non-linear differential equation ∂_tρ = (d/dx)(d/dW)ϕ(ρ). We also present some properties of the operator (d/dx)(d/dW).

A01	`01`	`1`		`@0 0003-9527`
A02	`01`			`@0 AVRMAW`
A03		`1`		`@0 Arch. ration. mech. anal.`
A05				`@2 195`
A06				`@2 2`
A08	`01`	`1`	`ENG`	`@1 Hydrodynamic Limit of Gradient Exclusion Processes with Conductances`
A11	`01`	`1`		`@1 FRANCO (Tertuliano)`
A11	`02`	`1`		`@1 LANDIM (Claudio)`
A11	`03`	`1`		`@1 FRITZ (J.)`
A14	`01`			`@1 Estrada Dona Castorina 110, J. Botanico @2 Riode Janeiro 22460 @3 BRA @Z 1 aut.`
A14	`02`			`@1 Technopôle du Madrillet, BP.12, Avenue de l'Université @2 76801 Saint-Étienne-du-Rouvray @3 FRA @Z 2 aut.`
A20				`@1 409-439`
A21				`@1 2010`
A23	`01`			`@0 ENG`
A43	`01`			`@1 INIST @2 9252 @5 354000190012300030`
A44				`@0 0000 @1 © 2010 INIST-CNRS. All rights reserved.`
A45				`@0 11 ref.`
A47	`01`	`1`		`@0 10-0094903`
A60				`@1 P`
A61				`@0 A`
A64	`01`	`1`		`@0 Archive for rational mechanics and analysis`
A66	`01`			`@0 DEU`
C01	`01`		`ENG`	@0 Fix a strictly increasing right continuous with left limits function W: <double-struck R> → <double-struck R> and a smooth function ϕ: [l, r] → <double-struck R>, defined on some interval [l, r] of <double-struck R>, such that 0 < b ? ϕ' ? b^-1. On the diffusive time scale, the evolution of the empirical density of exclusion processes with conductances given by W is described by the unique weak solution of the non-linear differential equation ∂_tρ = (d/dx)(d/dW)ϕ(ρ). We also present some properties of the operator (d/dx)(d/dW).
C02	`01`	`3`		`@0 001B40G10`
C02	`02`	`3`		`@0 001B00B60L`
C03	`01`	`3`	`FRE`	`@0 Hydrodynamique @5 06`
C03	`01`	`3`	`ENG`	`@0 Hydrodynamics @5 06`
C03	`02`	`X`	`FRE`	`@0 Fonction régulière @5 23`
C03	`02`	`X`	`ENG`	`@0 Smooth function @5 23`
C03	`02`	`X`	`SPA`	`@0 Función regular @5 23`
C03	`03`	`X`	`FRE`	`@0 Solution faible @5 24`
C03	`03`	`X`	`ENG`	`@0 Weak solution @5 24`
C03	`03`	`X`	`SPA`	`@0 Solución débil @5 24`
C03	`04`	`X`	`FRE`	`@0 Effet non linéaire @5 25`
C03	`04`	`X`	`ENG`	`@0 Non linear effect @5 25`
C03	`04`	`X`	`SPA`	`@0 Efecto no lineal @5 25`
C03	`05`	`3`	`FRE`	`@0 Modélisation @5 26`
C03	`05`	`3`	`ENG`	`@0 Modelling @5 26`
C03	`06`	`3`	`FRE`	`@0 . @4 INC @5 82`
N21				`@1 060`
N44	`01`			`@1 OTO`
N82				`@1 OTO`

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Pascal:10-0094903

Le document en format XML

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<author><name sortKey="Franco, Tertuliano" uniqKey="Franco T">Tertuliano Franco</name>
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<author><name sortKey="Landim, Claudio" uniqKey="Landim C">Claudio Landim</name>
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<author><name sortKey="Fritz, J" uniqKey="Fritz J">J. Fritz</name>
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<front><div type="abstract" xml:lang="en">Fix a strictly increasing right continuous with left limits function W:  →  and a smooth function ϕ: [l, r] → , defined on some interval [l, r] of , such that 0 < b ? ϕ' ? b<sup>-1</sup>
. On the diffusive time scale, the evolution of the empirical density of exclusion processes with conductances given by W is described by the unique weak solution of the non-linear differential equation ∂<sub>t</sub>
ρ = (d/dx)(d/dW)ϕ(ρ). We also present some properties of the operator (d/dx)(d/dW).</div>
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Hydrodynamic Limit of Gradient Exclusion Processes with Conductances

Hydrodynamic Limit of Gradient Exclusion Processes with Conductances

Descripteurs français

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri