Research Catalog

Title

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

Author

Mandelis, Andreas.

Publication

New York : Springer, [2001], ©2001.

Items in the Library & Off-site

Holdings

Details

Description

xii, 741 pages : illustrations; 25 cm

Subject

• Diffusion > Mathematics
• Heat equation
• Green's functions

Bibliography (note)

• Includes bibliographical references and index.

Contents

• The Mathematical Nature of Diffusion-Wave Fields. The Fourier and Laplace Transformation Approaches. The Green Function Method. Advantages, Properties, and Mathematical Preliminaries. Uniqueness Theorems of Diffusion-Wave Field Functions -- Ch. 1. Green Functions of One-Dimensional Thermal-Wave Fields. Fundamental Green Function Solutions. The Infinite Space Green Function. Green Functions for the Semi-Infinite Solid. Green Functions for a Medium of Thickness L. Improper Green Functions for Domains with Interfaces. Green Functions for Composite Solids I. Green Functions for Composite Solids II. Green Functions for Composite Solids III. Green Functions for Composite Solids with a Spatially Impulsive TW Source Below the Uppermost Layer -- Ch. 2. Thermal-Wave Fields in One Dimension -- Ch. 3. Green Functions in Three- and Two-Dimensional Cartesian Thermal-Wave Fields. Laterally Infinite Domains. Laterally Finite Domains. Two-dimensional Green Functions in Cartesian Coordinates.
• Three-Dimensional Green Functions of Structures with Edges and Corners -- Ch. 4. Cartesian Thermal-Wave Fields in Three and Two Dimensions -- Ch. 5. Green Functions of Thermal-Wave Fields in Cylindrical Coordinates. Laterally Infinite Domains. Cylindrical Geometries with Finite Radii. Cylindrical Sector and Wedge Geometries with Finite Radii -- Ch. 6. Thermal-Wave Fields in Cylindrical Coordinates. Thermal-Wave Fields in Laterally Infinite Domains. Thermal-Wave Fields in Cylindrical Geometries with Finite Radii. Thermal-Wave Fields in Laterally Infinite Domains with Arbitrary Source Distributions. Thermal-Wave Fields in Cylindrical Wedges and Edges -- Ch. 7. Green Functions of Thermal-Wave Fields in Spherical Coordinates -- Ch. 8. Thermal-Wave Fields in Spherical Coordinates. Point Sources, Spherically Symmetric Source Distributions, and Azimuthally Symmetric Sources. Spherically Symmetric Sources and Hollow Spheres. Spherical Cones --
• Ch. 9. Carrier-Density-Wave Fields in Electronic Solids/Semiconductors. Carrier Transport Equations. One-Dimensional Cartesian Geometries. Three-Dimensional Cartesian Geometries. Three-Dimensional Cylindrical Geometries. Composite Electronic Solids -- Ch. 10. Diffuse Photon Density Wave Fields in Turbid Media and Tissue -- App. Special Mathematical Functions of Diffusion-Wave Fields.

ISBN

0387951490 (alk. paper)

LCCN

00045034

OCLC

• ocm44868889
• SCSB-4176075

Owning Institutions

Columbia University Libraries