Diffusion-wave fields : mathematical methods and Green functions / Andreas Mandelis.

Format:

Book

Author/Creator:

Mandelis, Andreas.

Contributor:

ProQuest ebook central.

Language:

English

Subjects (All):

Diffusion--Mathematics.

Diffusion.

Heat equation.

Green's functions.

Physical Description:

1 online resource (xii, 741 pages) : illustrations

Place of Publication:

New York : Springer, [2001]

System Details:

text file

Summary:

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.

Contents:

Introduction

Green functions of one-dimensional thermal-wave fields

Thermal-wave fields in one dimension

Green functions in three- and two-dimensional Cartesian thermal-wave fields

Cartesian thermal-wave fields in three and two dimensions

Green functions of thermal-wave fields in cylindrical coordinates

Thermal-wave fields in cylindrical coordinates

Green functions of thermal-wave fields in spherical coordinates

Thermal-wave fields in spherical coordinates

Carrier-density-wave fields in electronic solids/semiconductors

Diffuse photon density wave fields in turbid media and tissue

Appendix: Special mathematical functions of diffusion-wave fields.

Notes:

Includes bibliographical references and index.

Electronic reproduction. Ann Arbor, MI Available via World Wide Web.

Description based on print version record.

ISBN:

9781475735482

1475735480

Publisher Number:

99983999788

9780387951492

Access Restriction:

Restricted for use by site license.