Thermoelastic problem in the setting of dual-phase-lag heat conduction: Existence and uniqueness of a weak solution

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. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

The study investigates an isotropic thermoelastic system with dual-phase-lag heat conduction and formulates the variational formulation for the associated coupled system. By using a time discretization method, it shows the existence of a unique weak solution under lower regularity assumptions on the data.