Uniform energy decay rates for a transmission problem of Timoshenko system with two memories

This paper studies the long-time behavior of solutions for a transmission problem of Timoshenko beam with memory. We show that the stability of the system holds for a much larger class of relaxation functions and get better decay rate than the ones existing in the literature. We also give some numerical tests to validate the theoretical results.

Automated summary

This paper investigates the long-time behavior of solutions for a transmission problem of Timoshenko beam with memory. The study reveals that the stability of the system holds for a larger class of relaxation functions and achieves a higher decay rate than previously reported in the literature. Numerical tests are also conducted to validate the theoretical findings.