Scholarlink

<p>This paper focuses on the stabilization of a transmission model with variable coefficients. The transmission model is coupled by wave equation and plate equation in different domains through a common boundary, in which the memory damping and the time-varying delay are pasted into the edge of the wave equation. Applying the Riemannian geometry method, convex analysis, compactness–uniqueness argument and a suitable assumption of the time-varying delay, we establish the energy decay rate which is driven by the solution of an ODE under a wider assumption of the memory kernel function and some conditions on the coefficient matrix.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Stabilization for the Transmission Wave/Plate Equation with Variable Coefficients and a Time-Varying Delay on the Viscoelastic Boundary

  • 期刊论文

  • 发表日期：

    2026年1月9日

查看全文
  • Yu-Xiang Liu,
  • Fengyan Yang,
  • Lei Zhang

摘要

This paper focuses on the stabilization of a transmission model with variable coefficients. The transmission model is coupled by wave equation and plate equation in different domains through a common boundary, in which the memory damping and the time-varying delay are pasted into the edge of the wave equation. Applying the Riemannian geometry method, convex analysis, compactness–uniqueness argument and a suitable assumption of the time-varying delay, we establish the energy decay rate which is driven by the solution of an ODE under a wider assumption of the memory kernel function and some conditions on the coefficient matrix.