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Introduction

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Diffusion in Random Fields

Part of the book series: Geosystems Mathematics ((GSMA))

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Abstract

Stochastic approaches for transport processes in heterogeneous media are motivated by the need to use stochastic parameterizations of the model equations. Essentially, this results in modeling diffusion processes in random fields. For instance, in stochastic subsurface hydrology, random hydraulic conductivity parameters generate random groundwater flow velocity fields and solute transport is modeled by diffusion equations with random drift coefficients. Technically, modeling approaches are based on equivalent Fokker–Planck and Itô representations of the diffusion in random fields, that is, through trajectories of molecules or computational particles and the corresponding continuous fields.

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Authors and Affiliations

  1. Department of Mathematics, Friedrich-Alexander University of Erlangen-Nürnberg, Erlangen, Germany

    Nicolae Suciu

  2. Tiberiu Popoviciu Institute of Numerical Analysis, Cluj-Napoca Branch of the Romanian Academy, Cluj-Napoca, Romania

    Nicolae Suciu

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  1. Nicolae Suciu
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Suciu, N. (2019). Introduction. In: Diffusion in Random Fields . Geosystems Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-15081-5_1

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