We investigate an isotropic thermoelastic system with dual-phase-lag heat conduction. We consider a homogeneous Dirichlet boundary condition for displacement and temperature. We formulate the variational formulation for the associated fully hyperbolic coupled system. By using a time discretization method, we show the existence of a unique weak solution under lower regularity assumptions on the data than established before in literature.

中文翻译：

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双相滞后热传导中的热弹性问题：弱解的存在性和唯一性

我们研究了具有双相滞后热传导的各向同性热弹性系统。我们考虑位移和温度的齐次Dirichlet边界条件。我们为相关的完全双曲耦合系统制定了变分公式。通过使用时间离散化方法，我们显示了在比数据中以前建立的数据具有较低规律性的假设下，存在唯一的弱解。