Heat Conduction Mathematical Models and Analytical Solutions

Many phenomena in social, natural and engineering fields are governed by wave, potential, parabolic heat-conduction, hyperbolic heat-conduction and dual-phase-lagging heat-conduction equations. These equations are not only appropriate for describing heat conduction at various scales, but also the mo...

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Bibliographic Details
Main Authors: Wang, Liqiu, Zhou, Xuesheng (Author), Wei, Xiaohao (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2008, 2008
Edition:1st ed. 2008
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Heat Conduction  |h Elektronische Ressource  |b Mathematical Models and Analytical Solutions  |c by Liqiu Wang, Xuesheng Zhou, Xiaohao Wei 
250 |a 1st ed. 2008 
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300 |a XIV, 515 p. 40 illus  |b online resource 
505 0 |a Wave Equations -- Heat-Conduction Equations -- Mixed Problems of Hyperbolic Heat-Conduction Equations -- Cauchy Problems of Hyperbolic Heat-Conduction Equations -- Dual-Phase-Lagging Heat-Conduction Equations -- Potential Equations 
653 |a Heat engineering 
653 |a Physical chemistry 
653 |a Thermodynamics 
653 |a Heat transfer 
653 |a Physical Chemistry 
653 |a Mass transfer 
653 |a Applications of Mathematics 
653 |a Engineering Thermodynamics, Heat and Mass Transfer 
653 |a Mathematics 
653 |a Differential Equations 
653 |a Differential equations 
700 1 |a Zhou, Xuesheng  |e [author] 
700 1 |a Wei, Xiaohao  |e [author] 
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520 |a Many phenomena in social, natural and engineering fields are governed by wave, potential, parabolic heat-conduction, hyperbolic heat-conduction and dual-phase-lagging heat-conduction equations. These equations are not only appropriate for describing heat conduction at various scales, but also the most important mathematical equations in physics. The focus of the present monograph is on these equations: their solution structures, methods of finding their solutions under various supplementary conditions, as well as the physical implication and applications of their solutions. Therefore, the present monograph can serve as a reference for researchers working on heat conduction of macro- and micro-scales as well as on mathematical methods of physics. It can also serve as a text for graduate courses on heat conduction or on mathematical equations in physics