Macroscopic properties of disordered media : proceedings of a conference held at the Courant Institute, June 1-3, 1981

Bibliographic Information

Macroscopic properties of disordered media : proceedings of a conference held at the Courant Institute, June 1-3, 1981

edited by R. Burridge, S. Childress, and G. Papanicolaou

(Lecture notes in physics, 154)

Springer-Verlag, c1982

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Proceedings of the Conference on the Macroscopic Properties of Disordered Media, June 1-3, 1981, Courant Institute, New York University

Includes bibliographical references and index

Description and Table of Contents

Table of Contents

Electromagnetic propagation in mixed media.- Resonances in the bulk properties of composite media - theory and applications.- Elastic waves in fluid-saturated porous media.- Biot's poroelasticity equations by homogenization.- Approximations of Brinkman type.- Topology, geometry, and physical properties of porous rocks.- Wave propagation in bubbly liquids.- Elastodynamics of porous media.- Bounds for the effective conductivity of random media.- Structural design optimization, homogenization and relaxation of variational problems.- Coherent medium approach to hopping conduction.- Nonlinear evolution equations with rapidly oscillating initial data.- A comparison of two methods for deriving bounds on the effective conductivity of composites.- Fluctuation corrections to the mean field description of a nonuniform fluid.- Fingering in porous media.- On the effective thermal conductivity and permeability of regular arrays of spheres.- Dielectric and acoustic response of rocks.- Effective dielectric function of composite media.- Macroscopic and microscopic fields in electron and atom transport.- Propagation and attenuation in composite media.- Frequency dependent dielectric constants of discrete random media.- A variational method to find effective coefficients for periodic media. A comparison with standard homogenization.- Effective medium approximation for diffusion on random networks.

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