Diffusion-advection in cellular flows with large Peclet numbers
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Submission date: 03. Sep. 2001
published in: Archive for rational mechanics and analysis, 168 (2003) 4, p. 329-342
DOI number (of the published article): 10.1007/s00205-003-0256-7
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For periodic two-dimensional incompressible cellular flows we provide explicit upper and lower estimates of the effective diffusivity which have the correct scaling behavior for large Peclet numbers. We demonstrate that all allowed scaling laws can occur. The bounds prove that there is no residual diffusion in the infinite Peclet number limit for Hölder continuous flows, answering a problem posed by Kozlov.