Arbitrary decay for a von Karman system with memory
Abstract In this paper we study the von Karman plate model with long range memory. By using the assumptions on the relaxation function due to Tatar (J. Math. Phys. 52:013502, 2011), we show an arbitrary rate of decay, which is not necessarily of an exponential or polynomial decay. Our result is obta...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-023-01699-1 |
| _version_ | 1797864051099828224 |
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| author | Jum-Ran Kang |
| author_facet | Jum-Ran Kang |
| author_sort | Jum-Ran Kang |
| collection | DOAJ |
| description | Abstract In this paper we study the von Karman plate model with long range memory. By using the assumptions on the relaxation function due to Tatar (J. Math. Phys. 52:013502, 2011), we show an arbitrary rate of decay, which is not necessarily of an exponential or polynomial decay. Our result is obtained without imposing the usual relation between the relaxation function h and its derivative. |
| first_indexed | 2024-04-09T22:45:22Z |
| format | Article |
| id | doaj.art-e8753db4fccf43b199eb775ba739a86b |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-09T22:45:22Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-e8753db4fccf43b199eb775ba739a86b2023-03-22T11:54:16ZengSpringerOpenBoundary Value Problems1687-27702023-02-012023111410.1186/s13661-023-01699-1Arbitrary decay for a von Karman system with memoryJum-Ran Kang0Department of Applied Mathematics, Pukyong National UniversityAbstract In this paper we study the von Karman plate model with long range memory. By using the assumptions on the relaxation function due to Tatar (J. Math. Phys. 52:013502, 2011), we show an arbitrary rate of decay, which is not necessarily of an exponential or polynomial decay. Our result is obtained without imposing the usual relation between the relaxation function h and its derivative.https://doi.org/10.1186/s13661-023-01699-1Memory dissipationDecay ratevon Karman system |
| spellingShingle | Jum-Ran Kang Arbitrary decay for a von Karman system with memory Boundary Value Problems Memory dissipation Decay rate von Karman system |
| title | Arbitrary decay for a von Karman system with memory |
| title_full | Arbitrary decay for a von Karman system with memory |
| title_fullStr | Arbitrary decay for a von Karman system with memory |
| title_full_unstemmed | Arbitrary decay for a von Karman system with memory |
| title_short | Arbitrary decay for a von Karman system with memory |
| title_sort | arbitrary decay for a von karman system with memory |
| topic | Memory dissipation Decay rate von Karman system |
| url | https://doi.org/10.1186/s13661-023-01699-1 |
| work_keys_str_mv | AT jumrankang arbitrarydecayforavonkarmansystemwithmemory |