Scaling Laws and Fokker--Planck Equations for 3-Dimensional Porous Media with Fractal Mesoscale

DOI10.1137/040621739zbMath1236.76069OpenAlexW2027813267MaRDI QIDQ5478177

John H. Cushman, Moongyu Park, Natalie Kleinfelter

Publication date: 30 June 2006

Full work available at URL: https://doi.org/10.1137/040621739

zbMATH Keywords

dispersionscalingfractalevolution of genetic information in subsurface microbial ecosystemsstochastic ordinary differential equation with stationary ergodic Markov drift velocitythree-scale porous media with fractal mesoscale

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) Diffusion processes (60J60) Fractals (28A80) Genetics and epigenetics (92D10)

Related Items (4)

Scaling the fractional advective-dispersive equation for numerical evaluation of microbial dynamics in confined geometries with sticky boundaries ⋮ Upscaling Lévy motions in porous media with long range correlations ⋮ On upscaling operator-stable Lévy motions in fractal porous media ⋮ THE COMPLEXITY OF BROWNIAN PROCESSES RUN WITH NONLINEAR CLOCKS

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