Article
| Title: | Homogenization of stochastic convective Brinkman-Forchheimer equations (English) |
| Author: | Fouetio, Aurelien |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 3 |
| Year: | 2026 |
| Pages: | 427-453 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study the homogenization of stochastic convective Brinkman-Forchheimer equations (SCBFE) or the tamed Navier-Stokes equations which describe the motion of incompressible fluid flows in satured porous medium. We combine some compactness arguments such as Prokhorov's and Skorokhod's probabilistic compactness results with the sigma-convergence method to prove that the sequence of solutions of the original problem converges in suitable topologies to the solution of a homogenized stochastic problem with constant coefficients. (English) |
| Keyword: | stochastic |
| Keyword: | convective Brinkman-Forchheimer equations |
| Keyword: | algebra with mean value |
| Keyword: | sigma-convergence |
| MSC: | 35B40 |
| MSC: | 35Q30 |
| MSC: | 46J10 |
| MSC: | 60H15 |
| DOI: | 10.21136/AM.2026.0263-24 |
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| Date available: | 2026-07-02T06:53:37Z |
| Last updated: | 2026-08-19 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153676 |
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