Well-posedness of dual-phase-lagging heat conduction equation: higher dimensions |
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Authors: | Liqiu Wang Mingtian Xu |
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Affiliation: | Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong |
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Abstract: | The dual-phase-lagging heat conduction equation is shown to be of one unique solution for a finite region of dimension n (n?2) under Dirichlet, Neumann or Robin boundary conditions. The solution is also found to be stable with respect to initial conditions. The work is of fundamental importance in applying the dual-phase-lagging model for the microscale heat conduction of high-rate heat flux. |
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