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Sedimentation And Thickening

Author : E.M. Tory
ISBN : 9789401593274
Genre : Mathematics
File Size : 50.59 MB
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The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners. The book is directed to stu dents and researchers in applied mathematics and engineering sciences, especially in metallurgical, chemical, mechanical and civil engineering, and to practicing en gineers in the process industries. Such a vast and diverse audience should read this book differently. For this reason we have organized the chapters in such a way that the book can be read in two ways. Engineers and engineering students will find a rigorous formulation of the mathematical model of sedimentation and the exact and approximate solutions for the most important problems encountered in the laboratory and in industry in Chapters 1 to 3, 7 and 8, and 10 to 12, which form a self-contained subject. They can skip Chapters 4 to 6 and 9, which are most important to applied mathematicians, without losing the main features of sedimentation processes. On the other hand, applied mathematicians will find special interest in Chapters 4 to 6 and 9 which show some known but many recent results in the field of conservation laws of quasilinear hyperbolic and degenerate parabolic equations of great interest today. These two approaches to the theory keep their own styles: the mathematical approach with theorems and proofs, and the phenomenological approach with its deductive technique.
Category: Mathematics

Recent Developments On Structural Equation Models

Author : Kees van Montfort
ISBN : 9781402019586
Genre : Psychology
File Size : 84.12 MB
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After Karl J├Âreskog's first presentation in 1970, Structural Equation Modelling or SEM has become a main statistical tool in many fields of science. It is the standard approach of factor analytic and causal modelling in such diverse fields as sociology, education, psychology, economics, management and medical sciences. In addition to an extension of its application area, Structural Equation Modelling also features a continual renewal and extension of its theoretical background. The sixteen contributions to this book, written by experts from many countries, present important new developments and interesting applications in Structural Equation Modelling. The book addresses methodologists and statisticians professionally dealing with Structural Equation Modelling to enhance their knowledge of the type of models covered and the technical problems involved in their formulation. In addition, the book offers applied researchers new ideas about the use of Structural Equation Modeling in solving their problems. Finally, methodologists, mathematicians and applied researchers alike are addressed, who simply want to update their knowledge of recent approaches in data analysis and mathematical modelling.
Category: Psychology

Evolution Of Biological Systems In Random Media Limit Theorems And Stability

Author : Anatoly Swishchuk
ISBN : 1402015542
Genre : Mathematics
File Size : 51.99 MB
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This is a new book in biomathematics, which includes new models of stochastic non-linear biological systems and new results for these systems. These results are based on the new results for non-linear difference and differential equations in random media. This book contains: -New stochastic non-linear models of biological systems, such as biological systems in random media: epidemic, genetic selection, demography, branching, logistic growth and predator-prey models; -New results for scalar and vector difference equations in random media with applications to the stochastic biological systems in 1); -New results for stochastic non-linear biological systems, such as averaging, merging, diffusion approximation, normal deviations and stability; -New approach to the study of stochastic biological systems in random media such as random evolution approach.
Category: Mathematics

The Fitzhugh Nagumo Model

Author : C. Rocsoreanu
ISBN : 9789401595483
Genre : Mathematics
File Size : 29.65 MB
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The present monograph analyses the FitzHugh-Nagumo (F-N) model Le. , the Cauchy problem for some generalized Van der Pol equation depending on three real parameters a, band c. This model, given in (1. 1. 17), governs the initiation of the cardiac impulse. The presence of the three parameters leads to a large variety of dy namics, each of them responsible for a specific functioning of the heart. For physiologists it is highly desirable to have aglobai view of all possible qualitatively distinct responses of the F-N model for all values of the pa rameters. This reduces to the knowledge of the global bifurcation diagram. So far, only a few partial results appeared and they were spread through out the literature. Our work provides a more or less complete theoretical and numerical investigation of the complex phase dynamics and bifurca tions associated with the F-N dynamical system. This study includes the static and dynamic bifurcations generated by the variation of a, band c and the corresponding oscillations, of special interest for applications. It enables one to predict all possible types of initiations of heart beats and the mechanism of transformation of some types of oscillations into others by following the dynamics along transient phase space trajectories. Of course, all these results hold for the F-N model. The global phase space picture enables one to determine the domain of validity of this model.
Category: Mathematics

Analysis And Control Of Age Dependent Population Dynamics

Author : S. Anita
ISBN : 0792366395
Genre : Mathematics
File Size : 22.82 MB
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This volume is devoted to some of the most biologically significant control problems governed by continuous age-dependent population dynamics. It investigates the existence, uniqueness, positivity, and asymptotic behaviour of the solutions of the continuous age-structured models. Some comparison results are also established. In the optimal control problems the emphasis is on first order necessary conditions of optimality. These conditions allow the determination of the optimal control or the approximation of the optimal control problem. The exact controllability for some models with diffusion and internal control is also studied. These subjects are treated using new concepts and techniques of modern optimal control theory, such as Clarke's generalized gradient, Ekeland's variational principle, Hamilton-Jacobi equations, and Carleman estimates. A background in advanced calculus and partial differential equations is required. Audience: This work will be of interest to students in mathematics, biology, and engineering, and researchers in applied mathematics, control theory, and biology.
Category: Mathematics

Mathematical Reviews

Author :
ISBN : UVA:X006180723
Genre : Mathematics
File Size : 67.41 MB
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Category: Mathematics


Author : Universitetet i Bergen. Dept. of Applied Mathematics
ISBN : CORNELL:31924090445234
Genre : Mechanics, Analytic
File Size : 90.84 MB
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Category: Mechanics, Analytic


Author :
ISBN : UOM:39015058894745
Genre : Granular materials
File Size : 28.98 MB
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Category: Granular materials

Advances In Fluid Mechanics Iii

Author : M. Rahman
ISBN : UVA:X004439642
Genre : Computers
File Size : 42.6 MB
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Placing emphasis on new applications and research, this volume contains the proceedings of the Third International Conference on Advances in Fluid Mechanics. Topics covered include: experimental versus computational methods; numerical methods in fluid mechanics; boundary element methods for fluids; inverse fluid mechanics problems; fluid-structure interaction; heat and mass transfer; bio-fluid mechanics; geophysical fluid dynamics; environmental fluid mechanics; hydrodynamics; aerodynamics; river, lake and estuary dynamics; coastal sea modelling; nonlinear ocean waves; air-sea coupling dynamics; wave propagation and scattering; non-Newtonian fluids; and constitutive relationships.
Category: Computers