AbstractFor transport in statistically homogeneous random velocity fields with properties that are routinely assumed in stochastic groundwater models, the one‐particle…
AbstractWhenever one uses translation invariant mean Green’s functions to describe the behavior in the mean and to estimate dispersion coefficients for…
AbstractWe investigate a prototypical reaction–diffusion-flow problem in saturated/unsaturated porous media. The special features of our problem are twofold: the reaction produces…
AbstractTransport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we…
AbstractConcentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations…
AbstractWe identify sufficient conditions under which evolution equations for probability density functions (PDF) of random concentrations are equivalent to Fokker–Planck…
AbstractEvolution equations for probability density functions (PDFs) and filtered density functions (FDFs) of random species concentrations weighted by conserved scalars…