Bøger i Modeling and Simulation in Science, Engineering and Technology serien

Large-Scale Networks in Engineering and Life Sciences

This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems.

In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems.

This book offers a unified presentation that does not discriminate between atmospheric and space flight.

Valuable for its wide-ranging yet thorough approach to mechanics, this textbook succeeds in bridging the often daunting divide between classical analytical and modern differential geometries, and reflects the author's decades-long teaching experience.

This volume compiles eight recent surveys that present state-of-the-art results in the field of active matter at different scales, modeled by agent-based, kinetic, and hydrodynamic descriptions. Following the previously published volume, these chapters were written by leading experts in the field and accurately reflect the diversity of subject matter in theory and applications. Several mathematical tools are employed throughout the volume, including analysis of nonlinear PDEs, network theory, mean field approximations, control theory, and flocking analysis. The book also covers a wide range of applications, including:Biological network formationSocial systemsControl theory of sparse systemsDynamics of swarming and flocking systemsStochastic particles and mean field approximationsMathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective.

The third part further analyses the general structure of the classification diagram for variables and equations of physical theories.Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world.

Fluid mechanics (FM) is a branch of science dealing with the investi gation of flows of continua under the action of external forces. The availability of the conservation laws is conditioned by the homogeneity and isotrop icity properties of the Euclidean space, and the form of these laws is related to the Newton's laws.

Despite the fact that fluid dynamics and filtration through porous media and mathematics, there are classical research areas in engineering, physics, are still many industrial processes that require the study of new mathemat ical models for flows of particular complexity, due to the peculiar properties of the systems involved.

Many behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). This book provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, and a sophisticated use of Mathematica software for the solutions of problems related to ODEs.

Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, this book shows how behavior in such diverse areas as sociology, economics, and the life sciences can be described by closely related models.

Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids.

Modeling and Applied Mathematics Modeling the behavior of real physical systems by suitable evolution equa tions is a relevant, maybe the fundamental, aspect of the interactions be tween mathematics and applied sciences.

However, despite physical complexities, soil mechanics has developed on the assumption that a soil can be seen as a continuum, or better yet as a medium obtained by the superposition of two and sometimes three con and the other fluids, which occupy the same portion of tinua, one solid space.

This self-contained book is an up-to-date description of the basic theory of molecular gas dynamics and its various applications. In this work, the ghost effect and non-Navier-Stokes effects are demonstrated for typical examples-Benard and Taylor-Couette problems-in the context of a new framework.

This book provide a comprehensive set of modeling methods for data and uncertainty analysis, taking readers beyond mainstream methods and focusing on techniques with a broad range of real-world applications. The book will be useful as a textbook for graduate students, or as a training manual in the fields of calibration and testing.

This self-contained book systematically explores the statistical dynamics on and of complex networks having relevance across a large number of scientific disciplines. The book is a collection of surveys and cutting-edge research contributions.

A reference for the field of particle modelling - the study of dynamical behaviour of solids and fluids in response to external forces, with the solids and fluids modelled as systems of atoms and molecules.

This book presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering, including man-made materials and biological tissues. It offers two theories of elasticity and their associated theories of viscoelasticity.

A survey of the major topics surrounding the modeling and analysis of problems in micromechanics of multicomponent systems, including conceptual and practical aspects. It provides both specialists and nonspecialists with an interdisciplinary perspective of ideas and methods used for modeling heterogeneous materials behavior and their applications.

What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes).

With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion-consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology.

Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by its interaction with the external world.

In particular, the work covers active R filters, OTA-C filters, and switched-capacitor filters, including topics such as differential output opamps, sensitivity analysis for passive components, multiple-feedback techniques, double-sampling, and N-path filters.

This monograph aims to lay the groundwork for the design of a unified mathematical approach to the modeling and analysis of large, complex systems composed of interacting living things.

With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion-consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology.

Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by its interaction with the external world.

This monograph provides a detailed look at eddy viscosity models from theoretical and numerical angles. In particular, it gives a rigorous derivation of these models and shows through careful analysis how they can be applied to oceanic and atmospheric flows.