Existence and uniqueness of the solution to a 3D thermoviscoelastic system
| dc.contributor.author | Bonetti, Elena | |
| dc.contributor.author | Bonfanti, Giovanna | |
| dc.date.accessioned | 2020-11-23T19:13:57Z | |
| dc.date.available | 2020-11-23T19:13:57Z | |
| dc.date.issued | 2003-04-29 | |
| dc.description.abstract | This paper presents results on existence and uniqueness of solutions to a three-dimensional thermoviscoelastic system. The constitutive relations of the model are recovered by a free energy functional and a pseudo-potential of dissipation. Using a fixed point argument, combined with an a priori estimates-passage to the limit technique, we prove a local existence result for a related initial and boundary values problem. Hence, uniqueness of the solution is proved on the whole time interval, as well as positivity of the absolute temperature. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bonetti, E., & Bonfanti, G. (2003). Existence and uniqueness of the solution to a 3D thermoviscoelastic system. <i>Electronic Journal of Differential Equations, 2003</i>(50), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12990 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | 3D thermoviscoelastic system | |
| dc.subject | Thermomechanical modelling | |
| dc.subject | Nonlinear PDE's system | |
| dc.subject | Existence and uniqueness results | |
| dc.title | Existence and uniqueness of the solution to a 3D thermoviscoelastic system | en_US |
| dc.type | Article |