Convection-diffusion equation with space-time ergodic random flow

Convection-diffusion equation with space-time ergodic random flow

We prove the homogenization of convection-diffusion in a time-dependent, ergodic, incompressible random flow which has a bounded stream matrix and a constant mean drift. We also prove two variational formulas for the effective diffusivity. As a consequence, we obtain both upper and lower bounds on t...

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Veröffentlicht in:Probability theory and related fields 1998-10, Vol.112 (2), p.203-220
Hauptverfasser: LANDIM, C, OLLA, S, YAU, H. T
Format: Artikel
Sprache:eng
Schlagworte:
Convection-diffusion equation
Diffusivity
Ergodic processes
Exact sciences and technology
Fluid flow
Incompressible flow
Lower bounds
Mathematics
Probability
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Stochastic analysis
Time dependence
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Beschreibung
Zusammenfassung:We prove the homogenization of convection-diffusion in a time-dependent, ergodic, incompressible random flow which has a bounded stream matrix and a constant mean drift. We also prove two variational formulas for the effective diffusivity. As a consequence, we obtain both upper and lower bounds on the effective diffusivity.
ISSN:0178-8051
1432-2064
DOI:10.1007/s004400050187