Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena
In this paper, we review and comment upon recently derived results for time dependent partial differential equation (PDE) models, which have been used to describe the various fluid-structure interactions which occur in nature. For these fluid-structure PDEs, this survey is particularly focused on th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2007-11-01
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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/7422/4266 |
| _version_ | 1818953717182889984 |
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| author | George Avalos Roberto Triggiani |
| author_facet | George Avalos Roberto Triggiani |
| author_sort | George Avalos |
| collection | DOAJ |
| description | In this paper, we review and comment upon recently derived results for time dependent partial differential equation (PDE) models, which have been used to describe the various fluid-structure interactions which occur in nature. For these fluid-structure PDEs, this survey is particularly focused on the authors' results of (i) semigroup wellposedness, (ii) stability, and (iii) backward uniqueness. |
| first_indexed | 2024-12-20T10:10:42Z |
| format | Article |
| id | doaj.art-d95563a57f9741498bf06ffbb82f2541 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-12-20T10:10:42Z |
| publishDate | 2007-11-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-d95563a57f9741498bf06ffbb82f25412022-12-21T19:44:09ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882007-11-01251-21736Mathematical analysis of PDE systems which govern fluid-structure interactive phenomenaGeorge AvalosRoberto TriggianiIn this paper, we review and comment upon recently derived results for time dependent partial differential equation (PDE) models, which have been used to describe the various fluid-structure interactions which occur in nature. For these fluid-structure PDEs, this survey is particularly focused on the authors' results of (i) semigroup wellposedness, (ii) stability, and (iii) backward uniqueness.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7422/4266Partial differential equationsfluid-structure interactionsemigroups wellposednessstabilizationbackward uniqueness. |
| spellingShingle | George Avalos Roberto Triggiani Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena Boletim da Sociedade Paranaense de Matemática Partial differential equations fluid-structure interaction semigroups wellposedness stabilization backward uniqueness. |
| title | Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena |
| title_full | Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena |
| title_fullStr | Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena |
| title_full_unstemmed | Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena |
| title_short | Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena |
| title_sort | mathematical analysis of pde systems which govern fluid structure interactive phenomena |
| topic | Partial differential equations fluid-structure interaction semigroups wellposedness stabilization backward uniqueness. |
| url | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7422/4266 |
| work_keys_str_mv | AT georgeavalos mathematicalanalysisofpdesystemswhichgovernfluidstructureinteractivephenomena AT robertotriggiani mathematicalanalysisofpdesystemswhichgovernfluidstructureinteractivephenomena |