Homogenization theory for a replenishing passive scalar field

DOI10.1007/s11401-009-0196-0zbMath1191.35039OpenAlexW2014384866MaRDI QIDQ964802

Shane R. Keating, Peter R. Kramer

Publication date: 21 April 2010

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-009-0196-0

zbMATH Keywords

pumpingadvection-diffusion equationreplenishing source termrescaled equation

Mathematics Subject Classification ID

Turbulent transport, mixing (76F25) Initial value problems for second-order parabolic equations (35K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Bounding the scalar dissipation scale for mixing flows in the presence of sources ⋮ First eigenvalue of the \(p\)-Laplace operator along the Ricci flow ⋮ Homogenization and mixing measures for a replenishing passive scalar field

Cites Work

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• An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows
• Homogenization of a diffusion process in a divergence-free random field
• Diffusion in turbulence
• Stirring up trouble: multi-scale mixing measures for steady scalar sources
• The symmetry properties of the effective diffusivity tensor in anisotropic porous media
• Homogenization of Transport Equations: Weak Mean Field Approximation
• A bound on scalar variance for the advection–diffusion equation
• Chaotic stirring by a mesoscale surface-ocean flow

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