Periodic longitudinal motions of a viscoelastic rod
| dc.contributor.author | Biswas, Animikh | |
| dc.contributor.author | Seidman, Thomas I. | |
| dc.date.accessioned | 2024-11-14T15:18:22Z | |
| dc.date.available | 2024-11-14T15:18:22Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | In this paper, we investigate the existence of a time-periodic solution for a quasilinear hyperbolic-parabolic equation arising in the study of longitudinal motion of a one-dimensional, viscoelastic rod. By employing the implicit function theorem, we show that when the specified forcing is sufficiently small, a nontrivial time-periodic solution exists. | |
| dc.description.sponsorship | The work of Animikh Biswas was supported in part by the NSF grant DMS-1517027. | |
| dc.description.uri | http://www.yokohamapublishers.jp/online2/oppafa/vol4/p671.html | |
| dc.format.extent | 13 pages | |
| dc.genre | journal articles | |
| dc.identifier | doi:10.13016/m2zvr4-qaky | |
| dc.identifier.citation | Biswas, Animikh, and Thomas I. Seidman. “Periodic Longitudinal Motions of a Viscoelastic Rod” Pure and Apllied Functional Analysis 4, no. 4 (2019): 671–83. http://www.yokohamapublishers.jp/online2/oppafa/vol4/p671.html | |
| dc.identifier.uri | http://hdl.handle.net/11603/36912 | |
| dc.language.iso | en_US | |
| dc.publisher | Yokohama Publishers | |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.relation.ispartof | UMBC Mathematics and Statistics Department | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | |
| dc.title | Periodic longitudinal motions of a viscoelastic rod | |
| dc.type | Text | |
| dcterms.creator | https://orcid.org/0000-0001-8594-0568 |