Diffusion in random velocity fields with applications to contaminant transport in groundwater
AbstractThe process of diffusion in a random velocity field is the mathematical object underlying currently used stochastic models of transport in…
ISI/JCR
Balance equations for physical systems with corpuscular structure
AbstractThe usual method in nonequilibrium statistical mechanics allows the derivation of the balance equations only for the collision invariants (mass,…
Hydrodynamic equations for one-dimensional systems of inelastic particles
AbstractUsing a different method, the balance equations of mass, momentum, and kinetic energy are derived for an arbitrary one-dimensional system…
Derivation of one-dimensional hydrodynamic model for stock price evolution
AbstractIt was proved that balance equations for systems with corpuscular structure can be derived if a kinematic description by piece-wise…
Generalized random walk algorithm for the numerical modeling of complex diffusion processes
AbstractA generalized form of the random walk algorithm to simulate diffusion processes is introduced. Unlike the usual approach, at a…
Numerical investigations on ergodicity of solute transport in heterogeneous aquifers
AbstractDarcy velocities for lognormal hydraulic conductivity with small variance and finite correlation length were approximated by periodic random fields. Accurate…
Evaluation of the first‐order approximations for transport in heterogeneous media
AbstractLongitudinal dispersion coefficients in given realizations of the transport computed by two currently used approximations of the first‐order in velocity…
On the self-averaging of dispersion for transport in quasi-periodic random media
AbstractIn this study we present a numerical analysis for the self-averaging of the longitudinal dispersion coefficient for transport in heterogeneous…
Comment on “Nonstationary flow and nonergodic transport in random porous media” by G. Darvini and P. Salandin
Abstract AuthorsN. Suciu Institute of Applied Mathematics, Friedrich-Alexander University of Erlangen-Nuremberg, Erlangen, Germany C. Vamos T. Popoviciu Institute of…
Memory effects induced by dependence on initial conditions and ergodicity of transport in heterogeneous media
AbstractFor transport in statistically homogeneous random velocity fields with properties that are routinely assumed in stochastic groundwater models, the one‐particle…
Publications
Global Random Walk Solutions for Flow and Transport in Porous Media
AbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks on regular lattices. The hydraulic head is represented by computational…
Read More Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media
AbstractFlow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices according to specific random walk rules. The occupation number of…
Read More Functional differential equations with maxima, via step by step contraction principle
AbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019, I. A. Rus formalized this notion (I. A. Rus, Some…
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