Boundary value problem with unbounded, fast oscillatory random flows (Q1381917)
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scientific article; zbMATH DE number 1136068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary value problem with unbounded, fast oscillatory random flows |
scientific article; zbMATH DE number 1136068 |
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Boundary value problem with unbounded, fast oscillatory random flows (English)
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5 October 1998
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The author deals with the convection-diffusion equation in the case of unbounded random coefficients. The flow has a stationary and square integrable stream matrix. Suitable approximate correctors are obtained by means of a saddle-point variational principle on the probability space of stream matrices. Homogenization theorems are established for weak solutions of the convection-diffusion equation with general stream matrices. The results are proved by Tartar's energy method with the use of approximate correctors.
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convection-diffusion equation
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unbounded random coefficients
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weak solutions
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Tartar's energy method
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