Synopses & Reviews
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.
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)
Table of Contents
Introduction.- 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.