Springer Diffusion-Wave Fields: Mathematical Methods and Green Functions

Develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. Deriving and using Green functions in one and higher dimensions to provide a unified approach, the author develops the properties of diffusion-wave fields first for the well-studied case of thermal-wave fields and then applies the methods to nonthermal fields. Review From the reviews of the first edition: "A useful, well balanced, book on the Green function method applied to solutions of numerous problems involving diffusion and wave processes under various physical conditions in Cartesian, cylindrical and spherical geometries. Mathematical procedures are performed in one, two and three dimensions. It is a textbook on the graduate level suitable for students but it can also serve as a reference literature to advanced researchers." (Vladimir Cadež, Zentralblatt MATH, Vol. 976, 2002) "This book develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena in such areas as heat transfer, electrical conduction, and light scattering. … The presentation, largely in the form of case studies directly applicable in a wide range of experimental methodologies, is intended for graduate students, professional scientists and engineers … ." (Applied Mechanics Reviews, Vol. 54 (5), 2001)