Well-posedness and controllability of a nonlinear system for surface waves
In this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. The well-posedness is proved by using the Fourier transfo...
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| Format: | Article |
| Language: | English |
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University of Szeged
2024-06-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10922 |
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| _version_ | 1841533478830604288 |
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| author | Alex Montes Ricardo Córdoba |
| author_facet | Alex Montes Ricardo Córdoba |
| author_sort | Alex Montes |
| collection | DOAJ |
| description | In this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. The well-posedness is proved by using the Fourier transform restriction method and the controllability is proved by using the moment method. |
| format | Article |
| id | doaj-art-45ed96d10383478d9e7ed3281221c5b3 |
| institution | Kabale University |
| issn | 1417-3875 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj-art-45ed96d10383478d9e7ed3281221c5b32025-01-15T21:24:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752024-06-0120243114010.14232/ejqtde.2024.1.3110922Well-posedness and controllability of a nonlinear system for surface wavesAlex Montes0Ricardo CórdobaMathematics Department, University of Cauca, ColombiaIn this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. The well-posedness is proved by using the Fourier transform restriction method and the controllability is proved by using the moment method.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10922nonlinear systemwater waveswell-posednessbourgain spacesspectral analysisinternal control |
| spellingShingle | Alex Montes Ricardo Córdoba Well-posedness and controllability of a nonlinear system for surface waves Electronic Journal of Qualitative Theory of Differential Equations nonlinear system water waves well-posedness bourgain spaces spectral analysis internal control |
| title | Well-posedness and controllability of a nonlinear system for surface waves |
| title_full | Well-posedness and controllability of a nonlinear system for surface waves |
| title_fullStr | Well-posedness and controllability of a nonlinear system for surface waves |
| title_full_unstemmed | Well-posedness and controllability of a nonlinear system for surface waves |
| title_short | Well-posedness and controllability of a nonlinear system for surface waves |
| title_sort | well posedness and controllability of a nonlinear system for surface waves |
| topic | nonlinear system water waves well-posedness bourgain spaces spectral analysis internal control |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10922 |
| work_keys_str_mv | AT alexmontes wellposednessandcontrollabilityofanonlinearsystemforsurfacewaves AT ricardocordoba wellposednessandcontrollabilityofanonlinearsystemforsurfacewaves |