Nonlinear transmission problem with a dissipative boundary condition of memory type
| dc.contributor.author | Andrade, Doherty | |
| dc.contributor.author | Fatori, Luci H. | |
| dc.contributor.author | Munoz Rivera, Jaime E. | |
| dc.date.accessioned | 2021-07-16T16:13:05Z | |
| dc.date.available | 2021-07-16T16:13:05Z | |
| dc.date.issued | 2006-04-28 | |
| dc.description.abstract | We consider a differential equation that models a material consisting of two elastic components. One component is clamped while the other is in a viscoelastic fluid producing a dissipative mechanism on the boundary. So, we have a transmission problem with boundary damping condition of memory type. We prove the existence of a global solution and its uniformly decay to zero as time approaches infinity. More specifically, the solution decays exponentially provided the relaxation function decays exponentially. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Andrade, D., Fatori, L. H., & Muñoz Rivera, J. E. (2006). Nonlinear transmission problem with a dissipative boundary condition of memory type. <i>Electronic Journal of Differential Equations, 2006</i>(53), pp. 1-16. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13926 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Wave equation | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Memory | |
| dc.title | Nonlinear transmission problem with a dissipative boundary condition of memory type | |
| dc.type | Article |