Hydrodynamic Limit of Gradient Exclusion Processes with Conductances
Identifieur interne : 001535 ( Main/Exploration ); précédent : 001534; suivant : 001536Hydrodynamic Limit of Gradient Exclusion Processes with Conductances
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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).
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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> </front></TEI><inist><standard h6="B"><pA><fA01 i1="01" i2="1"><s0>0003-9527</s0></fA01><fA02 i1="01"><s0>AVRMAW</s0></fA02><fA03 i2="1"><s0>Arch. ration. mech. anal.</s0></fA03><fA05><s2>195</s2></fA05><fA06><s2>2</s2></fA06><fA08 i1="01" i2="1" l="ENG"><s1>Hydrodynamic Limit of Gradient Exclusion Processes with Conductances</s1></fA08><fA11 i1="01" i2="1"><s1>FRANCO (Tertuliano)</s1></fA11><fA11 i1="02" i2="1"><s1>LANDIM (Claudio)</s1></fA11><fA11 i1="03" i2="1"><s1>FRITZ (J.)</s1></fA11><fA14 i1="01"><s1>Estrada Dona Castorina 110, J. 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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). 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