5 edition of Modelling and numerics of kinetic dissipative systems found in the catalog.
Includes bibliographical references and index.
|Statement||Lorenzo Pareschi and Giovanni Russo (editors).|
|Contributions||Pareschi, Lorenzo., Russo, Giovanni.|
|LC Classifications||QC175 .M612 2005|
|The Physical Object|
|ISBN 10||1594544123, 1594545030|
|LC Control Number||2005010787|
Lagrangian modelling of machines, automatically takes care of energy transfer between different components of a whole system. This prevents incomplete models, which give rise to errors and paradoxes, such as the problem of the Penfield believe that Lagrangian modelling is a natural choice, where energy is exchanged between different types of storage elements, in such systems . The Kinetic Theory of granular materials is a subject with wide ranging applications in physics, astronomy, engineering, and chemistry. The basic equation of the standard kinetic theory of molecular gases, the Boltzmann equation, can be easily extended to the particles of granular gases, such as a cloud of dust, a landslide, the grains in a silos, planetary rings, etc.
As already mentioned, a relevant drawback of the original CSL model, as well as of most collapse models, is that the average kinetic energy of the quantum system diverges on the long time scale 9,11,The model predicts that the energy of a particle with mass m increases linearly in time with a rate As will become clear by the following analysis, the reason for such an energy . Dissipation is the result of an irreversible process that takes place in homogeneous thermodynamic systems. A dissipative process is a process in which energy (internal, bulk flow kinetic, or system potential) is transformed from some initial form to some final form; the capacity of the final form to do mechanical work is less than that of the initial form.
This course will introduce students to the theory and practice of modeling biological systems from the molecular to the population level with an emphasis on intracellular processes. Topics covered include kinetic and equilibrium descriptions of biological processes, systematic approaches to model building and parameter estimation, analysis of. Mathematical modelling of systems constituted by many agents using kinetic theory is a new tool that has proved effective in predicting the emergence of collective behaviours and self-organization. This idea has been applied by the authors to various problems which range from sociology to economics and life sciences.
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The book is divided into three parts, which contain respectively recent results in the kinetic theory of granular gases, kinetic theory of chemically reacting gases, and numerical methods for kinetic systems.
Part I is devoted to theoretical aspects of granular gases. Divided into three parts, which contain results in the kinetic theory of granular gases, kinetic theory of chemically reacting gases, and numerical methods for kinetic systems.
This book contains several contributions related to the construction of suitable numerical methods and simulations for granular gases. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works.
The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. With more and more interest in how components of biological systems interact, it is important to understand the various aspects of systems biology.
Kinetic Modelling in Systems Biology focuses on one of the main pillars in the future development of systems biology. It explores both the methods and applications of kinetic modeling in this emerging fCited by: L. Pareschi, G.
Russo, G. Toscani, Modelling and Numerics of Kinetic Dissipative Systems (Nova Science Publ., New York, ) zbMATH Google Scholar 8.
MacNamara, G. Strang, in Splitting Methods in Communication, Imaging, Science and Engineering, ed. by R. Glowinski, S. Osher, W. Yin (Springer, Cham, ), pp. 95– Author: Raluca Eftimie. In book: Hyperbolic and Kinetic Models for Self-organised Biological Aggregations, pp Modelling and numerics of kinetic dissipative systems.
The kinetic theory of gases as we know it dates to the paper of Boltzmann in The justification and context of this equation has been clarified over the past half century to the extent that it comprises one of the most complete examples of many-body analyses exhibiting the contraction from a microscopic to a mesoscopic description.
The primary result is that the. We present here some numerical schemes for general multidimensional systems of conservation laws based on a class of discrete kinetic approximations, which includes the relaxation schemes by S. Jin and Z.
Xin. These schemes have a simple formulation even in the multidimensional case and do not need the solution of the local Riemann problems. (English) In: Modelling and Numerics of Kinetic Dissipative Systems, L. Pareschi and G. Russo and G. Toscani, eds., Nova Science Publishers,pp.Nova Science, Chapter in book (Other academic) Place, publisher, year, edition, pages Nova Science, Volume 1, KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling.
Purchase Applications of Kinetic Modelling, Volume 37 - 1st Edition. Print Book & E-Book. ISBNIn Modelling and Numerics of Kinetic Dissipative Systems, Nova Science Publishers, pp.
– Filbet, F. and Russo, G. (), ‘ Semi-Lagrangian schemes applied to moving boundary problems for the BGK model of rarefied gas dynamics ’, Kinet. Dynamics and Modelling of Reactive Systems contains the proceedings of the Advanced Seminar on Dynamics and Modeling of Reactive Systems, held at the University of Wisconsin on October The book presents papers that assess the level of understanding of the dynamics of chemically reacting systems.
The book is divided into two parts that cover the chemistry and kinetic models and then the numerical and statistical methods. It offers a comprehensive coverage of the theory and tools needed, along with the steps necessary for practical and industrial applications.
Some alternative methods for hydrodynamic closures to dissipative kinetic models Article (PDF Available) in The European Physical Journal Special Topics (1).
The dissipative heating rate is obtained by converting the kinetic energy loss directly to heat without resorting to an expression for TKE, which is not explicitly computed in their theoretical calculation and idealized model simulations.
In the more sophisticated numerical model of Wang (), the dissipative heating is determined by. This richly illustrated book discusses spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities.
Numerical Approaches for Kinetic and Hyperbolic Models. Hyperbolic and Kinetic Models for Self-organised Biological Aggregations, () Nano-particle drag prediction at low Reynolds number using a direct Boltzmann–BGK solution approach.
Buy Post-tensioned glulam timber framed buildings: Numerical modelling, shaking table tests and design of dissipative bracing systems by Simonetti, Michele Massimo (ISBN: ) from Amazon's Book Store. Everyday low Author: Michele Massimo Simonetti.
Using a different method, the balance equations of mass, momentum, and kinetic energy are derived for an arbitrary one-dimensional system of inelastic particles from its kinematic description.
The failure of the hydrodynamic equations for such dissipative systems must be attributed to the inconsistency of constitutive relations with the. The magnitude of the estimated heating at higher wind speeds confirms the importance to storm evolution of this term in the turbulence kinetic energy equation and suggests that dissipative energy should be included in numerical weather prediction models, particularly in models that resolve mesoscale structures in storms.Granular gases are composed of macroscopic bodies kept in motion by an external energy source such as a violent shaking.
The behaviour of such systems is quantitatively different from that of ordinary molecular gases: due to the size of the constituents, external fields have a stronger effect on the dynamics and, more importantly, the kinetic energy of the gas is no longer a conserved.
In this book, this is supported throughout innovative modelling techniques, analyses with f.e. programs and introducing new concepts for the design procedure of adding dissipative braces in order to open up new markets for multi-storey timber framed constructions with anti-seismic systemsAuthor: Michele Massimo Simonetti.