Dynamic behaviors for the acoustic model with variable coefficients and nonautonomous damping

• Published in: Zeitschrift für angewandte Mathematik und Physik Vol. 76; no. 1
• Main Authors: Li, Chan, Xu, Hong-Kun
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.02.2025; Springer Nature B.V
• Subjects: Boundary conditions; Damping; Decay rate; Engineering; Mathematical Methods in Physics; Theoretical and Applied Mechanics; Wave equations; 47D06; 35L70; Variable coefficients; 35L90; Acoustic model; Nonautonomous damping; 35L05; 35B30; 35B40; Dynamic behaviors; 35L20

We study the dynamic behaviors of solutions to wave equations with variable coefficients, localized nonautonomous damping, and nonlinear force terms, subject to acoustic boundary conditions. The localized damping can gradually vanish over time. The nonautonomous localized damping and nonlinear force...