Academic Journal
Memory‐type boundary stabilization of a transmission problem for Kirchhoff wave equations: Memory-type boundary stabilization of a transmission problem for Kirchhoff wave equations
| Title: | Memory‐type boundary stabilization of a transmission problem for Kirchhoff wave equations: Memory-type boundary stabilization of a transmission problem for Kirchhoff wave equations |
|---|---|
| Authors: | Sheng Fan, Baowei Feng |
| Source: | Mathematical Methods in the Applied Sciences. 45:8179-8192 |
| Publisher Information: | Wiley, 2022. |
| Publication Year: | 2022 |
| Subject Terms: | Asymptotic stability in control theory, Integro-partial differential equations, integro-differential equation, transmission problem, Asymptotic behavior of solutions to PDEs, Stabilization of systems by feedback, wave equation, Initial-boundary value problems for second-order hyperbolic equations, 0101 mathematics, energy decay, 01 natural sciences |
| Description: | 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. |
| Document Type: | Article |
| File Description: | application/xml |
| Language: | English |
| ISSN: | 1099-1476 0170-4214 |
| DOI: | 10.1002/mma.8116 |
| Access URL: | https://zbmath.org/7775984 https://doi.org/10.1002/mma.8116 |
| Rights: | Wiley Online Library User Agreement |
| Accession Number: | edsair.doi.dedup.....36a7b0a40d4488e5fb32b5d37c6eb08e |
| Database: | OpenAIRE |
| ISSN: | 10991476 01704214 |
|---|---|
| DOI: | 10.1002/mma.8116 |