Heat Conduction: Mathematical Models and Analytical Solutions

ISBN-13: 9783642093340 / Angielski / Miękka / 2010 / 515 str.

Liqiu Wang; Xuesheng Zhou; Xiaohao Wei

Opis

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. This monograph examines 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.

Recenzje

From the reviews:

"The book under review may stimulate interest among the researchers to explore the true nature of the heat. ... A good number of references at the end of the book may help the readers to further explore the subject. ... The book contains many solutions of the problems of technological importance in heat conduction of macro and micro scales and will be useful for researchers in mechanical engineering, chemical engineering, material sciences and applied mathematics." (K. N. Shukla, Zentralblatt MATH, Vol. 1237, 2012)

Spis treści

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.

Blurb

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.