Homogenization of the heat equation with random convolutional potential
This paper derived the homogenization of the heat equation with random convolutional potential. By Tartar's method of oscillating test function, the solution of the heat equation with random convolutional potential was shown to converge in distribution to the solution of the effective equation...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024273?viewType=HTML |
| _version_ | 1797301885956259840 |
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| author | Mengmeng Wang Dong Su Wei Wang |
| author_facet | Mengmeng Wang Dong Su Wei Wang |
| author_sort | Mengmeng Wang |
| collection | DOAJ |
| description | This paper derived the homogenization of the heat equation with random convolutional potential. By Tartar's method of oscillating test function, the solution of the heat equation with random convolutional potential was shown to converge in distribution to the solution of the effective equation with determined convolutional potential. |
| first_indexed | 2024-03-07T23:28:56Z |
| format | Article |
| id | doaj.art-b1c8866e8b754d3eaa18a0dc9e9e63ce |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-07T23:28:56Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-b1c8866e8b754d3eaa18a0dc9e9e63ce2024-02-21T01:20:07ZengAIMS PressAIMS Mathematics2473-69882024-01-01935661567010.3934/math.2024273Homogenization of the heat equation with random convolutional potentialMengmeng Wang0Dong Su1Wei Wang2Department of Mathematics, Nanjing University, Nanjing 210093, ChinaDepartment of Mathematics, Nanjing University, Nanjing 210093, ChinaDepartment of Mathematics, Nanjing University, Nanjing 210093, ChinaThis paper derived the homogenization of the heat equation with random convolutional potential. By Tartar's method of oscillating test function, the solution of the heat equation with random convolutional potential was shown to converge in distribution to the solution of the effective equation with determined convolutional potential.https://www.aimspress.com/article/doi/10.3934/math.2024273?viewType=HTMLhomogenizationweak convergencerandom convolutional potentialheat equation |
| spellingShingle | Mengmeng Wang Dong Su Wei Wang Homogenization of the heat equation with random convolutional potential AIMS Mathematics homogenization weak convergence random convolutional potential heat equation |
| title | Homogenization of the heat equation with random convolutional potential |
| title_full | Homogenization of the heat equation with random convolutional potential |
| title_fullStr | Homogenization of the heat equation with random convolutional potential |
| title_full_unstemmed | Homogenization of the heat equation with random convolutional potential |
| title_short | Homogenization of the heat equation with random convolutional potential |
| title_sort | homogenization of the heat equation with random convolutional potential |
| topic | homogenization weak convergence random convolutional potential heat equation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024273?viewType=HTML |
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