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Averaging of Non-Self Adjoint Parabolic Equations with Random Evolution (Dynamics)

Abstract : The averaging problem for convection-diffusion non-stationary parabolic operator with rapidly oscillating coefficients is studied. Under the assumptio- n that the coefficients are periodic in spatial variables and random stationar- y in time and that they possess certain mixing properties, we show that in appropriate moving coordinates the measures generated by the solutions of original problems converge weakly to a solution of limit stochastic PDE. The homogenized problem is well-posed and defines the limit measure uniquely.
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https://hal.inria.fr/inria-00072698
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:37:33 AM
Last modification on : Tuesday, July 14, 2020 - 11:04:05 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:19:00 PM

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  • HAL Id : inria-00072698, version 1

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Marina Kleptsyna, Andrey Piatnitski. Averaging of Non-Self Adjoint Parabolic Equations with Random Evolution (Dynamics). [Research Report] RR-3951, INRIA. 2000, pp.32. ⟨inria-00072698⟩

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