Memory‐type boundary stabilization of a transmission problem for Kirchhoff wave equations. (28th January 2022)

• Record Type: Journal Article
• Authors: Fan, Sheng; Feng, Baowei
• Other Names: Nizovtseva Irina guestEditor.; Alexandrov Dmitri guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 13(2022)
• Page Start: 8179
• Page End: 8192
• Publication Date: 2022-01-28
• Subjects: energy decay -- integro‐differential equation -- transmission problem -- wave equation; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8116
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we consider a transmission problem for Kirchhoff‐type wave equations with boundary condition determined by the long‐range memory. The wave propagation over bodies consisting of two physically different types of materials. One component is clamped, and the other is in a viscoelastic fluid producing a dissipative mechanism on the boundary. Under a wider assumption of the kernel, we establish a more general decay rate of energy, which improves earlier results established in the literature.