Korteweg-de Vries Equation in Bounded Domains
The goal of this paper is to prove the existence, uniqueness and the energy decay of global regular solutions of the KdV equation in a bounded domain approximating it by the Kuramoto-Sivashinsky equations.
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2004-07-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7493/4312 |
| _version_ | 1818156592495853568 |
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| author | Nikolai A. Larkin |
| author_facet | Nikolai A. Larkin |
| author_sort | Nikolai A. Larkin |
| collection | DOAJ |
| description | The goal of this paper is to prove the existence, uniqueness and the energy decay of global regular solutions of the KdV equation in a bounded domain approximating it by the Kuramoto-Sivashinsky equations. |
| first_indexed | 2024-12-11T15:00:45Z |
| format | Article |
| id | doaj.art-f1263f5aaabf4f27bc3c6e5df86751cb |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-12-11T15:00:45Z |
| publishDate | 2004-07-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-f1263f5aaabf4f27bc3c6e5df86751cb2022-12-22T01:01:10ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882004-07-012213037Korteweg-de Vries Equation in Bounded DomainsNikolai A. LarkinThe goal of this paper is to prove the existence, uniqueness and the energy decay of global regular solutions of the KdV equation in a bounded domain approximating it by the Kuramoto-Sivashinsky equations.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7493/4312KdVsolvabilityKuramoto-Sivashinsky. |
| spellingShingle | Nikolai A. Larkin Korteweg-de Vries Equation in Bounded Domains Boletim da Sociedade Paranaense de Matemática KdV solvability Kuramoto-Sivashinsky. |
| title | Korteweg-de Vries Equation in Bounded Domains |
| title_full | Korteweg-de Vries Equation in Bounded Domains |
| title_fullStr | Korteweg-de Vries Equation in Bounded Domains |
| title_full_unstemmed | Korteweg-de Vries Equation in Bounded Domains |
| title_short | Korteweg-de Vries Equation in Bounded Domains |
| title_sort | korteweg de vries equation in bounded domains |
| topic | KdV solvability Kuramoto-Sivashinsky. |
| url | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7493/4312 |
| work_keys_str_mv | AT nikolaialarkin kortewegdevriesequationinboundeddomains |