@article{Li2026, 
author = {Haiyan Li and Victor R. Cabanillas and Donal O'Regan},
title = {Logarithmic decay rate for a structural-acoustic interaction model with supercritical source and nonlinear damping},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {5},
pages = {3573-3592},
keywords = {structural acoustics model, energy decay, supercritical sources, nonlinear damping},
url = {https://www.sciopen.com/article/10.3934/era.2026160},
doi = {10.3934/era.2026160},
abstract = {In this paper, we study a structural acoustics model with supercritical source and nonlinear damping. The model consists of a wave equation defined on a bounded domain which is strongly coupled with a Berger plate equation acting on the elastic wall. The aim of the paper is to remove the strong condition    u  ∈      L    ∞    (            R        +    ;      L                  3        2              (  Ω  )  ) for        m    1    >  5 in the work [1] to obtain a weaker energy decay, and give a logarithmic decay rate under a weak assumption on the initial data.}
}