Frederick Bloom - Böcker

A survey of some problems of current interest in the realm of classical nonlinear electromagnetic theory.

Stop searching through the endless amount of literature to find the most recent information on plate buckling. The authors of Handbook of Thin Plate Buckling and Post Buckling have already done the work for you. Detailed and clearly written, the book contains a comprehensive, up-to-date treatment of the buckling and postbuckling behavior of perfect and imperfect thin plates.The authors study, in detail and with specific solved examples, the essential factors that influence critical buckling loads, initial mode shapes, and postbuckling behavior for thin plates. Through their analysis of rectangular, circular, and annular plates, they present valuable information, some of which has never before been published in book form. Such topics include hygrothermal buckling, viscoelastic and plastic buckling, and buckling of various thickness plates. With this important collection, the Handbook of Thin Plate Buckling and Post Buckling provides you with a one-stop source of current research findings.

The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The Navier-Stokes model of fluid flow is based on the Stokes hypothesis, which a priori simplifies and restricts the relationship between the stress tensor and the velocity. By relaxing the constraints of the Stokes hypothesis, the mathematical theory of multipolar viscous fluids generalizes the standard Navier-Stokes model. The rigorous theory of multipolar viscous fluids  is compatible with all known thermodynamical processes and the principle of material frame indifference; this is in contrast with the formulation of most non-Newtonian fluid flow models which result from ad hoc assumptions about the relation between the stress tensor and the velocity. The higher-order boundary conditions, which must be formulated for multipolar viscous flow problems, are a rigorous consequence of the principle of virtual work; this is in stark contrast to the approach employed by authors who have studied the regularizing effects of adding artificial viscosity, in the form of higher order spatial derivatives, to the Navier-Stokes model. A number of research groups, primarily in the United States, Germany, Eastern Europe, and China, have explored the consequences of multipolar viscous fluid models; these efforts, and those of the authors, which are described in this book, have focused on the solution of problems in the context of specific geometries, on the existence of weak and classical solutions, and on dynamical systems aspects of the theory. This volume will be a valuable resource for mathematicians interested in solutions to systems of nonlinear partial differential equations, as well as to applied mathematicians, fluid dynamicists, and mechanical engineers with an interest in the problems of fluidmechanics.