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On the evaluation of moments for solute transport by random velocity fields |
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| Authors: | F.A. Dorini F. Furtado M.C.C. Cunha |
| Affiliation: | aDepartment of Mathematics, DAMAT, Federal University of Technology – Paraná – UTFPR, 80230-901, Curitiba, PR, Brazil;bDepartment of Mathematics, University of Wyoming – UWYO, 82071-3036, Laramie, UW, USA;cDepartment of Applied Mathematics, IMECC, University of Campinas – UNICAMP, 13083-970, Campinas, SP, Brazil |
| Abstract: | In this paper, we consider the random linear transport equation. We show that standard averaging approaches to obtain an equation for the evolution of the statistical mean of the solution may also be valid for all the statistical moments of the solution. With this result we can obtain more statistical information about the random solution, as illustrated in two particular examples. |
| Keywords: | Random linear transport equation Random velocity field Averaging approach Statistical moments Gaussian process Random telegraph process |
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