Scholarlink

<p>This work addresses a problem related to the one-dimensional system in the linear isothermal theory of swelling porous elastic soils under the influence of a fractional delay mechanism. Using classical semigroup theory, we prove the existence of a global solution under a smallness condition on the fractional delay. Furthermore, we apply the energy method without assuming equal wave speed propagation to demonstrate exponential stability.</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

Swelling porous elastic soils with fluid saturation and delay term in the internal feedback

  • 期刊论文

  • 发表日期：

    2025年3月3日

查看全文
  • Carlos A. S. Nonato,
  • Flávio A. F. Nascimento,
  • Manoel J. Dos Santos,
  • André L. A. Costa

摘要

This work addresses a problem related to the one-dimensional system in the linear isothermal theory of swelling porous elastic soils under the influence of a fractional delay mechanism. Using classical semigroup theory, we prove the existence of a global solution under a smallness condition on the fractional delay. Furthermore, we apply the energy method without assuming equal wave speed propagation to demonstrate exponential stability.