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Abstract <p> In this work, we study some qualitative properties of a one-dimensional thermo-poroelastic problem with microtemperatures when the elastic coefficient is negative. First, we obtain a result regarding the uniqueness and instability of solutions. Secondly, we restrict ourselves to the quasi-static case and we see that, if the inverse of the absolute value of the elastic coefficient is small in comparison with the heat capacity coefficient, then we can obtain the existence, uniqueness and exponential decay of the solutions. </p>

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Analysis of Some Thermo-Poroelastic Problems with Microtemperatures

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • J. R. Fernández,
  • R. Quintanilla

摘要

Abstract

In this work, we study some qualitative properties of a one-dimensional thermo-poroelastic problem with microtemperatures when the elastic coefficient is negative. First, we obtain a result regarding the uniqueness and instability of solutions. Secondly, we restrict ourselves to the quasi-static case and we see that, if the inverse of the absolute value of the elastic coefficient is small in comparison with the heat capacity coefficient, then we can obtain the existence, uniqueness and exponential decay of the solutions.