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This article is cited in 19 scientific papers (total in 19 papers)
Homogenization of a random non-stationary convection-diffusion problem
M. L. Kleptsynaa, A. L. Piatnitskib a Institute for Information Transmission Problems, Russian Academy of Sciences
b P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
The homogenization problem is studied for a non-stationary convection-diffusion equation with rapidly oscillating coefficients periodic in the spatial variables and stationary random in the time. Under the assumption that the coefficients of the equation have rather good mixing properties, it is shown that, in properly chosen moving coordinates, the distribution of the solution of the original problem converges to the solution of the limit stochastic partial differential equation. The homogenized problem is well-posed and determines the limit measure uniquely.
Received: 05.04.2002
Citation:
M. L. Kleptsyna, A. L. Piatnitski, “Homogenization of a random non-stationary convection-diffusion problem”, Russian Math. Surveys, 57:4 (2002), 729–751
Linking options:
https://www.mathnet.ru/eng/rm535https://doi.org/10.1070/RM2002v057n04ABEH000535 https://www.mathnet.ru/eng/rm/v57/i4/p95
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Abstract page: | 771 | Russian version PDF: | 247 | English version PDF: | 17 | References: | 98 | First page: | 1 |
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