Mathematical Models in Boundary Layer Theory
Asymptotic Treatment of Differential Equations
Variational Theories for Liquid Crystals
Plasma Physics Theory
Mathematical Modeling of Inelastic Deformation
Bivectors and Waves in Mechanics and Optics
Material Inhomogeneities in Elasticity
Order Stars Theory and Applications
By Jr. Johnson, Greg A. Harris, D.C. Hankerson
September 25, 2019
An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this unique text allows either topic to be presented independently, and it was specifically designed ...
By Mario Pitteri, G. Zanzotto
June 27, 2002
Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material ...
By O.A. Oleinik, V.N. Samokhin
May 25, 1999
Since Prandtl first suggested it in 1904, boundary layer theory has become a fundamental aspect of fluid dynamics. Although a vast literature exists for theoretical and experimental aspects of the theory, for the most part, mathematical studies can be found only in separate, scattered articles. ...
By J. Necas, J. Malek, M. Rokyta, M. Ruzicka
May 01, 1996
This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering...
By A. Georgescu
May 15, 1995
The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due ...
By E.G. Virga
May 15, 1995
Essentially there are two variational theories of liquid crystals explained in this book. The theory put forward by Zocher, Oseen and Frank is classical, while that proposed by Ericksen is newer in its mathematical formulation although it has been postulated in the physical literature for the past...
By A. Sitenko, V. Malnev
December 01, 1994
This book is an introduction to the field of modern plasma physics theory. The topics have been carefully chosen by the authors after many years teaching a graduate course in this subject. The book contains a comprehensive description of three widely used models in plasma physics: one-particle,...
By J.F. Besseling, E. Van Der Giessen
May 15, 1994
Mathematical Modeling of Inelastic Deformation details the mathematical modeling of the inelastic behavior of engineering materials. The authors use a thermodynamic approach to the subject and focus on crystalline materials, but not to the exclusion of macro-moleular solids. Within a unified theory...
By Sergey I. Voropayev, Y.D. Afanasyev
May 15, 1994
A fully systematic treatment of the dynamics of vortex structures and their interactions in a viscous density stratified fluid is provided by this book. The various compact vortex structures such as monopoles, dipoles, quadrupoles, as well as more complex ones are considered theoretically from a ...
By P. Boulanger, M.A. Hayes
August 01, 1993
Bivectors occur naturally in the description of elliptically polarized homogeneous and inhomogeneous plane waves. The description of a homogeneous plane wave generally involves a vector (the unit vector along the propagation direction) and a bivbector (the complex amplitude of the wave). ...
By G.A. Maugin
July 01, 1993
Self contained, this book presents a thorough introduction to the complementary notions of physical forces and material (or configurational) forces. All the required elements of continuum mechanics, deformation theory and differential geometry are also covered. This book will be a great help to ...