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Reports (Research Report) Year : 2000

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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Dates and versions

inria-00072698 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072698 , version 1

Cite

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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