Time-periodic transport in heterogeneous porous media
type: Item
instance of: scholarly article
title: Time-periodic transport in heterogeneous porous media
zbMATH Open document ID: 0862.76080
DOI: 10.1016/0096-3003(96)90053-3
author: Vitaly Zlotnik
author: J. David Logan
published in: Applied Mathematics and Computation
publication date: 1996-06-23T00:00:00Z
review text: The authors consider the one-dimensional convection-diffusion equation in a semi-infinite heterogeneous domain for periodic boundary conditions and no initial data. Analytical solutions for the above problem have been obtained when kinematic dispersion coefficient is either a linear or an exponential function. The solutions are given is terms of Kelvin functions or hypergeometric functions. Finally, some numerical experiments are presented along with discussion and conclusions.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76R99
zbMATH DE Number: 892437
zbMATH Keywords: semi-infinite domain
zbMATH Keywords: analytical solutions
zbMATH Keywords: one-dimensional convection-diffusion equation
zbMATH Keywords: kinematic dispersion coefficient
zbMATH Keywords: Kelvin functions
zbMATH Keywords: hypergeometric functions
MaRDI profile type: Publication
full work available at URL: 0096-3003(96)90053-3
OpenAlex ID: W2150675435
cites work: The convection-diffusion equation with periodic boundary conditions
cites work: Q5785591
cites work: Q3568481
cites work: Q5558293
description: scientific article; zbMATH DE number 892437