General solution to random advective-dispersive equation in porous media. II: Stochasticity in the parameters
type: Item
instance of: scholarly article
title: General solution to random advective-dispersive equation in porous media. II: Stochasticity in the parameters
zbMATH Open document ID: 0674.76090
DOI: 10.1007/BF01543454
published in: Stochastic Hydrology and Hydraulics
publication date: 1988-01-01T00:00:00Z
review text: [For part I see the following entry (Zbl 0674.76091).] The article presents the applications of functional-analytic solution of the partial differential equation describing solid transport in acquifers. It establishes the semi-group solution of the randomly forced three dimensional equation, and then introduces the solutions for the particular case, when the dispersion coefficient or the ground water velocity are prescribed stochastic processes in time or in space. An illustration is worked out in details. The solution may explain the uncertainty in the concentration distribution. In course of solution, an integral equation is met, whose solution is obtained in the deterministic way.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 4104620
zbMATH Keywords: randomly forced three dimensional equation
zbMATH Keywords: ground water
zbMATH Keywords: concentration distribution
author: Sergio Serrano
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf01543454
OpenAlex ID: W3159044390
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description: scientific article; zbMATH DE number 4104620