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Bifurcation Theory with Applications
  • Language: en
  • Pages: 164

Bifurcation Theory with Applications

Bifurcation Theory with Applications is a collection of chapters that describe the theory and application of nonlinear dynamics to a wide variety of problems in physics and engineering. Each chapter is self-contained and includes an introduction, main contributions, and details of up-to-date theoretical, computational, and experimental results. The book examines various practical systems, including models of target detection in cells through the analysis of bio-nanomachine, attractant, and repellent concentrations. It addresses the quasistatic evolution of anelastic structures, explores the generation of triangular patterns through anisotropic diffusion, and discusses the stabilization of ti...

Theoretical and Computational Fluid Mechanics
  • Language: en
  • Pages: 339

Theoretical and Computational Fluid Mechanics

  • Type: Book
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  • Published: 2024-01-25
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  • Publisher: CRC Press

Theoretical and Computational Fluid Mechanics: Existence, Blow-up, and Discrete Exterior Calculus Algorithms centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment. The book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper understanding. The book is aimed at theorists and applied mathematicians from a wide range of scientific fields, including the social, health, and physical sciences. It provides a step-by-step guide to the construction of solutions of both elementary and open problems of viscous and non-viscous models, and for the applications of such models for the functional analysis and real analysis of data. Features Offers a self-contained treatment that does not require a previous background in fluid dynamics. Suitable as a reference text for graduate students, researchers, and professionals, and could easily be used as a teaching resource. Provides various examples using Maple, Mathematica, and to a lesser extent Matlab programming languages.

Blood Cell
  • Language: en
  • Pages: 364

Blood Cell

The editor has incorporated scientific contributions from a diverse group of leading researchers in the field of hematology and related blood cell research. This book aims to provide an overview of current knowledge pertaining to our understanding of hematology. The main subject areas will include blood cell morphology and function, the pathophysiology and genetics of hematological disorders and malignancies, blood testing and typing, and the processes governing hematopoiesis. Blood cell physiology, biochemistry and blood flow are covered in this book. This text is designed for hematologists, pathologists and laboratory staff in training and in practice. The work presented in this book will be of benefit to medical students and to researchers of hematology and blood flow in the microcirculation.This book is written primarily for those who have some knowledge of chemistry, biochemistry and general hematology. The authors of each section bring a strong clinical emphasis to the book.

Differential Equations
  • Language: en
  • Pages: 184

Differential Equations

The editor has incorporated contributions from a diverse group of leading researchers in the field of differential equations. This book aims to provide an overview of the current knowledge in the field of differential equations. The main subject areas are divided into general theory and applications. These include fixed point approach to solution existence of differential equations, existence theory of differential equations of arbitrary order, topological methods in the theory of ordinary differential equations, impulsive fractional differential equations with finite delay and integral boundary conditions, an extension of Massera's theorem for n-dimensional stochastic differential equations...

Nonlinear Systems
  • Language: en
  • Pages: 288

Nonlinear Systems

The editors of this book have incorporated contributions from a diverse group of leading researchers in the field of nonlinear systems. To enrich the scope of the content, this book contains a valuable selection of works on fractional differential equations.The book aims to provide an overview of the current knowledge on nonlinear systems and some aspects of fractional calculus. The main subject areas are divided into two theoretical and applied sections. Nonlinear systems are useful for researchers in mathematics, applied mathematics, and physics, as well as graduate students who are studying these systems with reference to their theory and application. This book is also an ideal complement to the specific literature on engineering, biology, health science, and other applied science areas. The opportunity given by IntechOpen to offer this book under the open access system contributes to disseminating the field of nonlinear systems to a wide range of researchers.

Vortex Simulation and Identification
  • Language: en
  • Pages: 126

Vortex Simulation and Identification

This book includes six chapters covering new vortex theories, vortex identification methods, and vortex simulation and applications. Vortices are ubiquitous in the universe and include tornados, hurricanes, airplane tip vortices, polar vortices, and even star vortices in the galaxy. Vortices are also building blocks, muscles, and sinews of turbulent flows. This book is useful for researchers in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, and more. It is also useful for research on the generation, sustenance, modeling, and controlling of turbulence.

Advances in Theoretical and Computational Fluid Mechanics
  • Language: en

Advances in Theoretical and Computational Fluid Mechanics

"Advances in Theoretical and Computational Fluid Mechanics: Existence, Blow-up, and Discrete Exterior Calculus Algorithms centralizes the main and current topics in theoretical and applied fluid dynamics at the intersection of a mathematical and non-mathematical environment. The book is accessible to anyone with a basic level of understanding of fluid dynamics and yet still engaging for those of a deeper understanding. The book is aimed at theorists and applied mathematicians from a wide range of scientific fields, including the social, health, and physical sciences. It provides a step-by-step guide to the construction of solutions of both elementary and open problems of viscous and non-viscous models, and for the applications of such models for the functional analysis and real analysis of data"--

Fractional Differential Equations
  • Language: en
  • Pages: 366

Fractional Differential Equations

  • Type: Book
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  • Published: 1998-10-27
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  • Publisher: Elsevier

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models.In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research.A reade...

Combined Membership List (American Mathematical Society)
  • Language: en
  • Pages: 1206

Combined Membership List (American Mathematical Society)

  • Type: Book
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  • Published: 1994
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  • Publisher: Unknown

Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.

Dynamical Systems
  • Language: en
  • Pages: 276

Dynamical Systems

There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically. With its eleven chapters, this book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications. The first section consists of seven chapters that focus on analytical techniques, while the next section is composed of four chapters that center on computational techniques.