AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Ediţia nr.1 din 2024 | |||||||
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ON A COUPLED SYSTEM OF VISCOELASTIC WAVE EQUATION OF INFINITE MEMORY WITH ACOUSTIC BOUNDARY CONDITIONS. Autori: ABDELAZIZ LIMAM, BENYATTOU BENABDERRAHMANE, YAMNA BOUKHATEM. |
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Rezumat: DOI: 10.24193/subbmath.2024.1.11 Received 09 April 2021; Accepted 08 October 2021. Published Online: 2024-03-20 Published Print: 2024-03-30 pp. 171-182 VIEW PDF FULL PDF This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via by the acoustic boundary conditions on a portion of the boundary. The semigroup theory is used to show the well posedness and regularity of the initial and boundary value problem. Moreover, we investigate exponential stability of the system taking into account Gearhart-Prüss'' theorem. Mathematics Subject Classification (2010): 35A01, 74B05, 93D15. Keywords: Viscoelastic damping, acoustic boundary conditions, well posedness, exponential stability. |
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