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Two-temperatures thermo-porous-elasticity with microtemperatures
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2020-07-13 , DOI: 10.1016/j.aml.2020.106628 J.R. Fernández , R. Quintanilla
中文翻译:
微观温度下的两个温度的热孔弹性
更新日期:2020-07-13
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2020-07-13 , DOI: 10.1016/j.aml.2020.106628 J.R. Fernández , R. Quintanilla
In this note, we study a linear system of partial differential equations modelling a one-dimensional two-temperatures thermo-porous-elastic problem with microtemperatures. A new system of conditions is proposed to guarantee the existence, uniqueness and exponential decay of solutions. Our arguments are based on the theory of semigroups of linear operators.
中文翻译:
微观温度下的两个温度的热孔弹性
在本说明中,我们研究了偏微分方程的线性系统,该系统用一维温度对一维两温热多孔弹性问题进行建模。提出了一个新的条件系统来保证解的存在性,唯一性和指数衰减。我们的论点基于线性算子的半群理论。