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<p>In this paper, we consider a swelling porous-elastic system subject to the effect of boundary frictional dampings with time-dependent coefficients. We use the multiplier method to establish explicit formulae for the energy decay rates, from which the usual exponential and polynomial estimates are only special cases. Our results combine the generality and optimality and improve earlier related results in the literature.</p>

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The Control of a Swelling Porous-Elastic System by Nonlinear Boundary Feedbacks with Time-Dependent Coefficients

  • 期刊论文

  • 发表日期：

    2026年2月26日

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  • Muhammad I. Mustafa

摘要

In this paper, we consider a swelling porous-elastic system subject to the effect of boundary frictional dampings with time-dependent coefficients. We use the multiplier method to establish explicit formulae for the energy decay rates, from which the usual exponential and polynomial estimates are only special cases. Our results combine the generality and optimality and improve earlier related results in the literature.