Well-posedness of dual-phase-lagging heat conduction equation: Higher dimensions

Liqiu Wang; Mingtian Xu

doi:10.1016/S0017-9310(01)00188-0

Well-posedness of dual-phase-lagging heat conduction equation: Higher dimensions

Liqiu Wang, Mingtian Xu

Research output: Journal article publication › Journal article › Academic research › peer-review

57 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1165-1171
Number of pages	7
Journal	International Journal of Heat and Mass Transfer
Volume	45
Issue number	5
DOIs	https://doi.org/10.1016/S0017-9310(01)00188-0
Publication status	Published - 8 Jan 2002
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1016/S0017-9310(01)00188-0

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title = "Well-posedness of dual-phase-lagging heat conduction equation: Higher dimensions",

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.",

author = "Liqiu Wang and Mingtian Xu",

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AB - 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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Well-posedness of dual-phase-lagging heat conduction equation: Higher dimensions

Abstract

ASJC Scopus subject areas

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