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Human mobility is investigated using a continuum approach that allows to calculate the probability to observe a trip to anyarbitrary region, and the fluxes between any two regions. The considered description offers a general and unified…

Physics and Society · Physics 2013-04-02 Filippo Simini , Amos Maritan , Zoltán Néda

The gas transport through non-volatile random porous media is investigated numerically. We extend our previous research of the transport of molecules inside the uppermost layer of a cometary surface (Skorov and Rickmann, 1995; Skorov et al.…

Earth and Planetary Astrophysics · Physics 2015-05-27 Yu. Skorov , R. van Lieshout , J. Blum , H. U. Keller

An accurate modeling of reactive flows in fractured porous media is a key ingredient to obtain reliable numerical simulations of several industrial and environmental applications. For some values of the physical parameters we can observe…

Numerical Analysis · Mathematics 2020-11-10 Luca Formaggia , Alessio Fumagalli , Anna Scotti

This paper proposes a framework for the estimation of the transport and elastic properties of open-cell poroelastic media based on sound absorption measurements. The sought properties are the Biot-Johnson-Champoux-Allard model parameters,…

Classical Physics · Physics 2021-07-28 Jacques Cuenca , Peter Göransson , Laurent De Ryck , Timo Lähivaara

Different observations of a relation between inputs ("sources") and outputs ("targets") are often reported in terms of histograms (discretizations of the source and the target densities). Transporting these densities to each other provides…

Data Analysis, Statistics and Probability · Physics 2019-07-25 Caroline Moosmüller , Felix Dietrich , Ioannis G. Kevrekidis

This paper introduces a mobility equity metric (MEM) for evaluating fairness and accessibility in multi-modal intelligent transportation systems. The MEM simultaneously accounts for service accessibility and transportation costs across…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Heeseung Bang , Aditya Dave , Filippos N. Tzortzoglou , Shanting Wang , Andreas A. Malikopoulos

A ubiquitous observation in cell biology is that diffusion of macromolecules and organelles is anomalous, and a description simply based on the conventional diffusion equation with diffusion constants measured in dilute solution fails. This…

Soft Condensed Matter · Physics 2013-03-14 Felix Höfling , Thomas Franosch

We present the state-of-the-art theoretical modeling, molecular simulation, and coarse-graining strategies for the transport of gases and liquids in nanoporous materials (pore size 1-100 nm). Special emphasis is placed on the transport of…

Soft Condensed Matter · Physics 2025-01-29 Alexander Schlaich , Jean-Louis Barrat , Benoit Coasne

The simultaneous presence of liquid and gas in porous media increases flow heterogeneity compared to saturated flows. However, so far the impact of saturation on flow statistics and transport dynamics remained unclear. Here, we develop a…

In this paper, we derive multicontinuum poroelasticity models using the multicontinuum homogenization method. Poroelasticity models are widely used in many areas of science and engineering to describe coupled flow and mechanics processes in…

Numerical Analysis · Mathematics 2025-06-27 Dmitry Ammosov , Mohammed Al-Kobaisi , Yalchin Efendiev

This paper is devoted to the homogenization (or upscaling) of a system of partial differential equations describing the non-ideal transport of a N-component electrolyte in a dilute Newtonian solvent through a rigid porous medium. Realistic…

Analysis of PDEs · Mathematics 2014-10-14 Gregoire Allaire , Robert Brizzi , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

We present a hybrid framework that couples finite element methods (FEM) with physics-informed DeepONet to model fluid transport in porous media from sharp, localized Gaussian sources. The governing system consists of a steady-state Darcy…

Machine Learning · Computer Science 2025-08-28 Erdi Kara , Panos Stinis

Advective trapping occurs when solute enters low velocity zones in heterogeneous porous media. Classical local modeling approaches combine the impact of slow advection and diffusion into a hydrodynamic dispersion coefficient and many…

Fluid Dynamics · Physics 2020-12-02 Juan J. Hidalgo , Insa Neuweiler , Marco Dentz

We consider the Poisson-Nernst-Planck system which is well-accepted for describing dilute electrolytes as well as transport of charged species in homogeneous environments. Here, we study these equations in porous media whose electric…

Mathematical Physics · Physics 2013-02-26 Markus Schmuck

In this paper, we consider a poroelasticity problem in heterogeneous multicontinuum media that is widely used in simulations of the unconventional hydrocarbon reservoirs and geothermal fields. Mathematical model contains a coupled system of…

Numerical Analysis · Mathematics 2019-08-07 Aleksei Tyrylgin , Maria Vasilyeva , Denis Spiridonov , Eric T. Chung

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

The Wasserstein metric or earth mover's distance (EMD) is a useful tool in statistics, machine learning and computer science with many applications to biological or medical imaging, among others. Especially in the light of increasingly…

Optimization and Control · Mathematics 2018-01-26 Jörn Schrieber , Dominic Schuhmacher , Carsten Gottschlich

This work develops photoacoustic-based experimental methods for comprehensive characterization of multispecies mass transport from donor compartments to thin-membrane acceptor systems in perfect contact, supported by a dedicated mass…

Applied Physics · Physics 2026-05-25 Pawel Rochowski

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

Methodology · Statistics 2013-03-07 Cinzia Viroli

We present an efficient and robust numerical model for simulation of electrokinetic phenomena in porous networks over a wide range of applications including energy conversion, desalination, and lab-on-a-chip systems. Coupling between fluid…

Fluid Dynamics · Physics 2016-10-04 Shima Alizadeh , Ali Mani