Scholarlink

<p>In this work, we prove that the effect of damping given by tempered Caputo derivative does not lead the porous elastic model to exponential stability. Although damping acts on both equations of the system, it is not strong enough to lead the model to exponential stabilization, which is novel for this type of model, where a single damping factor provides exponential stability depending on a relationship between the velocity coefficients. Thus, we prove that the model is well-posed and polynomially stable.</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

Polynomial decay of porous elastic system with fractional damping

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年7月1日

查看全文
  • M. L. Santos,
  • O. P. V. Villagrán

摘要

In this work, we prove that the effect of damping given by tempered Caputo derivative does not lead the porous elastic model to exponential stability. Although damping acts on both equations of the system, it is not strong enough to lead the model to exponential stabilization, which is novel for this type of model, where a single damping factor provides exponential stability depending on a relationship between the velocity coefficients. Thus, we prove that the model is well-posed and polynomially stable.