Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcial
We studied the uniform stabilization of a class of Timoshenko systems with partial dissipation of the beam. Our main result is to prove that the semigroup associated to this model has polynomial decay. Moreover, we prove that the semigroup decays polynomially to zero. The system decays polynomially...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Nacional de Trujillo
2018-12-01
|
| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2194 |
| _version_ | 1818488326928203776 |
|---|---|
| author | Frank Henry Acasiete Quispe Neisser Pino Romero |
| author_facet | Frank Henry Acasiete Quispe Neisser Pino Romero |
| author_sort | Frank Henry Acasiete Quispe |
| collection | DOAJ |
| description | We studied the uniform stabilization of a class of Timoshenko systems with partial dissipation of the beam. Our main result is to prove that the semigroup associated to this model has polynomial decay. Moreover, we prove that the semigroup decays polynomially to zero. The system decays polynomially with rate depending on the coeficients of the problem. We also show the computational modeling of the system showing the results obtained theoretically. |
| first_indexed | 2024-12-10T16:49:31Z |
| format | Article |
| id | doaj.art-d02e48ee833146fbb841c8eb01022ca1 |
| institution | Directory Open Access Journal |
| issn | 2411-1783 2411-1783 |
| language | Spanish |
| last_indexed | 2024-12-10T16:49:31Z |
| publishDate | 2018-12-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-d02e48ee833146fbb841c8eb01022ca12022-12-22T01:40:57ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832018-12-0150216417410.17268/sel.mat.2018.02.04Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcialFrank Henry Acasiete Quispe0Neisser Pino Romero1Laboratorio Nacional de Computación Científica, MCTIC, Petrópolis-BrasilUniversidad Peruana Cayetano Heredia, Lima- PerúWe studied the uniform stabilization of a class of Timoshenko systems with partial dissipation of the beam. Our main result is to prove that the semigroup associated to this model has polynomial decay. Moreover, we prove that the semigroup decays polynomially to zero. The system decays polynomially with rate depending on the coeficients of the problem. We also show the computational modeling of the system showing the results obtained theoretically.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2194Differential partial equationsbeamsemigrouppolynomial stability |
| spellingShingle | Frank Henry Acasiete Quispe Neisser Pino Romero Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcial Selecciones Matemáticas Differential partial equations beam semigroup polynomial stability |
| title | Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcial |
| title_full | Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcial |
| title_fullStr | Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcial |
| title_full_unstemmed | Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcial |
| title_short | Decaimiento Polinomial y Modelaje Numérico Computacional de la viga de Timoshenko con disipación parcial |
| title_sort | decaimiento polinomial y modelaje numerico computacional de la viga de timoshenko con disipacion parcial |
| topic | Differential partial equations beam semigroup polynomial stability |
| url | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2194 |
| work_keys_str_mv | AT frankhenryacasietequispe decaimientopolinomialymodelajenumericocomputacionaldelavigadetimoshenkocondisipacionparcial AT neisserpinoromero decaimientopolinomialymodelajenumericocomputacionaldelavigadetimoshenkocondisipacionparcial |