An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution
We prove the existence of a global compact attractor for a multivalued semiflow generated by a system of phase-field equations with conditions on nonlinearity that do not guarantee the uniqueness of a solution.
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| Datum: | 1999 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4691 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510848204668928 |
|---|---|
| author | Kapustyan, O. V. Капустян, О. В. |
| author_facet | Kapustyan, O. V. Капустян, О. В. |
| author_sort | Kapustyan, O. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:11:21Z |
| description | We prove the existence of a global compact attractor for a multivalued semiflow generated by a system of phase-field equations with conditions on nonlinearity that do not guarantee the uniqueness of a solution. |
| first_indexed | 2026-03-24T03:03:31Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4691 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:03:31Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5d/626e98c2d44bf3f02a9eccaf41e7f05d.pdf |
| spelling | umjimathkievua-article-46912020-03-18T21:11:21Z An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution Атрактор напівпотоку, що породжується системою фазово-польових рівнянь без єдиності розв'язку Kapustyan, O. V. Капустян, О. В. We prove the existence of a global compact attractor for a multivalued semiflow generated by a system of phase-field equations with conditions on nonlinearity that do not guarantee the uniqueness of a solution. Доводиться існування глобального компактного атрактора для багатозначного папівпотоку, що породжується системою фазово-польових рівнянь з умовами на нелінійшсть, які не забезпечують єдиність розв'язку. Institute of Mathematics, NAS of Ukraine 1999-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4691 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 7 (1999); 1006–1009 Український математичний журнал; Том 51 № 7 (1999); 1006–1009 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4691/6084 https://umj.imath.kiev.ua/index.php/umj/article/view/4691/6085 Copyright (c) 1999 Kapustyan O. V. |
| spellingShingle | Kapustyan, O. V. Капустян, О. В. An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution |
| title | An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution |
| title_alt | Атрактор напівпотоку, що породжується системою фазово-польових рівнянь без єдиності розв'язку |
| title_full | An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution |
| title_fullStr | An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution |
| title_full_unstemmed | An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution |
| title_short | An attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution |
| title_sort | attractor of a semiflow generated by a system of phase-field equations without the uniqueness of a solution |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4691 |
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