Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators
We study the asymptotic behavior of solutions of the Neumann problems for nonlinear elliptic equations in domains with accumulators, which simulate porous media. An effective description is given for an averaged problem, which, in the case of simple accumulators, is a problem for the system of a fun...
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| Datum: | 1995 |
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| Hauptverfasser: | , |
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| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5404 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511638296199168 |
|---|---|
| author | Kovalevskii, A. A. Ковалевский, А. А. Ковалевский, А. А. |
| author_facet | Kovalevskii, A. A. Ковалевский, А. А. Ковалевский, А. А. |
| author_sort | Kovalevskii, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:41Z |
| description | We study the asymptotic behavior of solutions of the Neumann problems for nonlinear elliptic equations in domains with accumulators, which simulate porous media. An effective description is given for an averaged problem, which, in the case of simple accumulators, is a problem for the system of a functional equation and a differential equation; in the case of double accumulators, it is a problem for the system of two functional equations and a differential equation. |
| first_indexed | 2026-03-24T03:16:04Z |
| format | Article |
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| id | umjimathkievua-article-5404 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:04Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1a/d2b5a02f8e667b4278e642e9256a691a.pdf |
| spelling | umjimathkievua-article-54042020-03-19T08:58:41Z Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators Усреднение задач Неймана для нелинейных эллиптических уравнений в областях с накопителями Kovalevskii, A. A. Ковалевский, А. А. Ковалевский, А. А. We study the asymptotic behavior of solutions of the Neumann problems for nonlinear elliptic equations in domains with accumulators, which simulate porous media. An effective description is given for an averaged problem, which, in the case of simple accumulators, is a problem for the system of a functional equation and a differential equation; in the case of double accumulators, it is a problem for the system of two functional equations and a differential equation. Вивчена асимптотична поведінка розв'язків задач Неймана для нелінійних еліптичних рівнянь в областях зі збирачами, що є моделями тріидиновато-пористих середовищ. Наведено ефективний опис усередненої задачі, яка у випадку простих збирачів є задачею для системи функціонального і диференціального рівнянь, а у випадку подвійних збирачів — задачею для системи двох функціональних і одного диференціального рівнянь. Institute of Mathematics, NAS of Ukraine 1995-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5404 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 2 (1995); 194–212 Український математичний журнал; Том 47 № 2 (1995); 194–212 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5404/7497 https://umj.imath.kiev.ua/index.php/umj/article/view/5404/7498 Copyright (c) 1995 Kovalevskii A. A. |
| spellingShingle | Kovalevskii, A. A. Ковалевский, А. А. Ковалевский, А. А. Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators |
| title | Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators |
| title_alt | Усреднение задач Неймана для нелинейных эллиптических уравнений в областях с накопителями |
| title_full | Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators |
| title_fullStr | Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators |
| title_full_unstemmed | Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators |
| title_short | Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators |
| title_sort | averaging of the neumann problems for nonlinear elliptic equations in domains with accumulators |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5404 |
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