Partial Differential Equations and Optimization
| dc.contributor.author | Abdelaziz Limam | |
| dc.date.accessioned | 2022-01-19T10:02:16Z | |
| dc.date.available | 2022-01-19T10:02:16Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this thesis, we consider some viscoelastic problems for a strongly elliptic operator of second order with variable coefficients in bounded domains. A review of the recent studies on the generalized thermoelasticity theories and their associated modified models is also presented. In this regard, we investigate several coupled systems with mixed Dirichlet-Neumann boundary conditions and boundary interaction feedback. The coupling is via the acoustic boundary conditions on a portion of the boundary. Using some interesting methods of mathematical analysis as, semigroup theory, Schauder fixed point, Faedo-Galerkin approach, and compactness estimates, to show the local and global existence of energy-associated solutions. In addition, taking into account the Gearhart-Prüss theorem, the exponential stability of the corresponding semigroup is concluded. Moreover, under a very wider class of generality of relaxation functions, we establish several general decay results using the energy methods | en_US |
| dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/27693 | |
| dc.publisher | Université de M'sila | en_US |
| dc.subject | Acoustic boundary conditions, Exponential stability, General decay, Global existence of solution, Thermoelastic effect, Viscoelastic damping | en_US |
| dc.title | Partial Differential Equations and Optimization | en_US |
| dc.type | Thesis | en_US |