Author and Subject Cumulative Index Including Table of Contents Volume 1-34

Description

Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on the many visual experiments in physics, hydrodynamics, chemistry and biology, this study seeks to answer these and related intriguing questions. The mathematical models presented for the dynamical theory of pattern formation are nonlinear partial differential equations. The corresponding theory is not so accessible to a wide audience. Consequently, the authors attempt to synthesise long and complex mathematical calculations to exhibit the underlying physics. The book should be useful to final year undergraduates, but is primarily aimed at graduate students, postdoctoral fellows, and others interested in the puzzling phenomena of pattern formation 1. Introduction -- 2. Preliminaries -- 3. Diffusion of a Fluid Through a Solid Undergoing Large Deformations: Constitutive Response Functions -- 4. Steady State Problems -- 5. Diffusing Singular Surface -- 6. Wave Propagation in Solids Infused with Fluids -- 7. Mixture of Two Newtonian Fluids -- 8. Mixture of a Fluid and Solid Particles -- A Some Results from Differential Geometry -- B Status of Darcy's Law Within the Context of Mixture Theory