Advances in Kinetic Theory and Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642502350
Total Pages : 307 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Advances in Kinetic Theory and Continuum Mechanics by : Renee Gatignol

Download or read book Advances in Kinetic Theory and Continuum Mechanics written by Renee Gatignol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the symposium held on Friday 6 July 1990 at the University Pierre et Marie Curie (Paris VI), France, in honor of Professor Henri Cabannes on the occasion of his retirement. There were about one hundred participants from nine countries: Canada, France, Germany, Italy, Japan, Norway, Portugal, the Netherlands, and the USA. Many of his past students or his colleagues were among the participants. The twenty-six papers in this volume are written versions submitted by the authors and cover almost all the fields in which Professor Cabannes has actively worked for more than forty-five years. The papers are presented in four chapters: classical kinetic theory and fluid dynamics, discrete kinetic theory, applied fluid mechanics, and continuum mechanics. The editors would like to take this opportunity to thank the generous spon sors of the symposium: the University Pierre et Marie Curie, Commissariat a l'Energie Atomique (especially Academician R. Dautray and Dr. N. Camarcat) and Direction des Recherches et Etudes Techniques (especially Professor P. Lallemand). Many thanks are also due to all the participants for making the symposium a success. Finally, we thank Professor W. Beiglbock and his team at Springer-Verlag for producing this volume.

Advances in Kinetic Theory and Continuum Mechanics

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Publisher :
ISBN 13 : 9780387539454
Total Pages : pages
Book Rating : 4.5/5 (394 download)

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Book Synopsis Advances in Kinetic Theory and Continuum Mechanics by : Renée Gatignol

Download or read book Advances in Kinetic Theory and Continuum Mechanics written by Renée Gatignol and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contemporary Developments in Continuum Mechanics and Partial Differential Equations

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Publisher : Elsevier
ISBN 13 : 0080871410
Total Pages : 623 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Contemporary Developments in Continuum Mechanics and Partial Differential Equations by :

Download or read book Contemporary Developments in Continuum Mechanics and Partial Differential Equations written by and published by Elsevier. This book was released on 1978-01-01 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary Developments in Continuum Mechanics and Partial Differential Equations

Advances In Kinetic Theory And Computing : Selected Papers

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Publisher : World Scientific
ISBN 13 : 9814502332
Total Pages : 228 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advances In Kinetic Theory And Computing : Selected Papers by : Benoit Perthame

Download or read book Advances In Kinetic Theory And Computing : Selected Papers written by Benoit Perthame and published by World Scientific. This book was released on 1994-09-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of 8 papers discusses “Equations of Kinetic Physics” with emphasis on analysis, modelling and computing. The first 3 papers are on numerical methods for Vlasov-Poisson and Vlasov-Maxwell Equations — Comparison between Particles and Eulerian Methods (G Manfredi and M R Feix), Computing BGK Instability with Eulerian Codes (M R Feix, Pertrand & A Ghieco) and Coupling Particles and Eulerian Methods (S Mas-Gallic and P A Raviart) — Followed by a survey of kinetic and macroscopic models for semiconductor devices — Boltzmann Equation, Drift-Diffusion Models (F Poupaud). In addition, there are 2 papers on the modelling and analysis of singular perturbation problems arising in plasma physics — Derivation of the Child-Lagmuyr Emission Laws (P Degond) and Euler Models with Small Pressure Terms (F Bouchut) — followed by two papers on the analysis and numerical analysis of the Boltzmann equations — Symmetry Properties in the Polynomials Arising in Chapman-Enskog Expansion (L Desvillettes and F Golse) and A General Introduction to Computing the Boltzmann Equations with Random Particle Methods (B Perthame).

From Hyperbolic Systems to Kinetic Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540775625
Total Pages : 295 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis From Hyperbolic Systems to Kinetic Theory by : Luc Tartar

Download or read book From Hyperbolic Systems to Kinetic Theory written by Luc Tartar and published by Springer Science & Business Media. This book was released on 2008-02-26 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book, penned by Luc Tartar of America’s Carnegie Mellon University, starts from the premise that equations of state are not always effective in continuum mechanics. Tartar relies on H-measures, a tool created for homogenization, to explain some of the weaknesses in the theory. These include looking at the subject from the point of view of quantum mechanics. Here, there are no "particles", so the Boltzmann equation and the second principle, can’t apply.

Kinetic Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0387217754
Total Pages : 587 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Kinetic Theory by : R.L. Liboff

Download or read book Kinetic Theory written by R.L. Liboff and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. The third edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.

The Breadth and Depth of Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642616348
Total Pages : 758 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis The Breadth and Depth of Continuum Mechanics by : Constantine M. Dafermos

Download or read book The Breadth and Depth of Continuum Mechanics written by Constantine M. Dafermos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects papers dedicated to Jerry Ericksen on his sixtieth birthday, December 20, 1984. They first appeared in Volumes 82-90 (1983-1985) of the Archive for Rational Mechanics and Analysis. At the request of the Editors the list of authors to be invited was drawn up by C. M. Dafermos, D. D. Joseph, and F. M. Leslie. The breadth and depth of the works here reprinted reflect the corresponding qualities in Jerry Ericksen's research, teaching, scholarship, and inspiration. His interests and expertness center upon the mechanics of materials and extend to everything that may contribute to it: pure analysis, algebra, geometry, through all aspects of theoretical mechanics to fundamental experiment, all of these illumi nated by an intimate and deep familiarity with the sources, even very old ones. He is independent of school and contemptuous of party spirit; his generosity in giving away his ideas is renowned, but not everyone is capable of accepting what is offered. His writings are totally free of broad claims and attributions beyond his own study. Some are decisive, some are prophetic, and all are forthright. His work has served as a beacon of insight and simple honesty in an age of ever more trivial and corrupt science. The authors of the memoirs in this volume are his students, colleagues, admirers, and (above all) his friends.

Hamilton’s Principle in Continuum Mechanics

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Publisher : Springer Nature
ISBN 13 : 3030903060
Total Pages : 114 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Hamilton’s Principle in Continuum Mechanics by : Anthony Bedford

Download or read book Hamilton’s Principle in Continuum Mechanics written by Anthony Bedford and published by Springer Nature. This book was released on 2021-12-14 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.

Continuum Thermodynamics - Part I

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Author :
Publisher : World Scientific
ISBN 13 : 9812835571
Total Pages : 416 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Continuum Thermodynamics - Part I by : Krzysztof Wilmanski

Download or read book Continuum Thermodynamics - Part I written by Krzysztof Wilmanski and published by World Scientific. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models OCo ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts. The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Kinetic Theory and Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 146120061X
Total Pages : 358 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Kinetic Theory and Fluid Dynamics by : Yoshio Sone

Download or read book Kinetic Theory and Fluid Dynamics written by Yoshio Sone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. 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). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.

Continuum Thermodynamics

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Author :
Publisher : World Scientific
ISBN 13 : 9812835563
Total Pages : 416 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Continuum Thermodynamics by : Wilmanski

Download or read book Continuum Thermodynamics written by Wilmanski and published by World Scientific. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Advances in Kinetic Theory and Computing

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Publisher : World Scientific
ISBN 13 : 9789810216719
Total Pages : 232 pages
Book Rating : 4.2/5 (167 download)

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Book Synopsis Advances in Kinetic Theory and Computing by : B. Perthame

Download or read book Advances in Kinetic Theory and Computing written by B. Perthame and published by World Scientific. This book was released on 1994 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of 8 papers discusses ?Equations of Kinetic Physics? with emphasis on analysis, modelling and computing. The first 3 papers are on numerical methods for Vlasov-Poisson and Vlasov-Maxwell Equations ? Comparison between Particles and Eulerian Methods (G Manfredi and M R Feix), Computing BGK Instability with Eulerian Codes (M R Feix, Pertrand & A Ghieco) and Coupling Particles and Eulerian Methods (S Mas-Gallic and P A Raviart) ? Followed by a survey of kinetic and macroscopic models for semiconductor devices ? Boltzmann Equation, Drift-Diffusion Models (F Poupaud). In addition, there are 2 papers on the modelling and analysis of singular perturbation problems arising in plasma physics ? Derivation of the Child-Lagmuyr Emission Laws (P Degond) and Euler Models with Small Pressure Terms (F Bouchut) ? followed by two papers on the analysis and numerical analysis of the Boltzmann equations ? Symmetry Properties in the Polynomials Arising in Chapman-Enskog Expansion (L Desvillettes and F Golse) and A General Introduction to Computing the Boltzmann Equations with Random Particle Methods (B Perthame).

Continuum Thermodynamics - Part I: Foundations

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Author :
Publisher : World Scientific
ISBN 13 : 981446970X
Total Pages : 416 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Continuum Thermodynamics - Part I: Foundations by : Krzysztof Wilmanski

Download or read book Continuum Thermodynamics - Part I: Foundations written by Krzysztof Wilmanski and published by World Scientific. This book was released on 2008-11-25 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Multiphase Flow and Fluidization

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Publisher : Elsevier
ISBN 13 : 0080512267
Total Pages : 489 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Multiphase Flow and Fluidization by : Dimitri Gidaspow

Download or read book Multiphase Flow and Fluidization written by Dimitri Gidaspow and published by Elsevier. This book was released on 2012-12-02 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful as a reference for engineers in industry and as an advanced level text for graduate engineering students, Multiphase Flow and Fluidization takes the reader beyond the theoretical to demonstrate how multiphase flow equations can be used to provide applied, practical, predictive solutions to industrial fluidization problems. Written to help advance progress in the emerging science of multiphase flow, this book begins with the development of the conservation laws and moves on through kinetic theory, clarifying many physical concepts (such as particulate viscosity and solids pressure) and introducing the new dependent variable--the volume fraction of the dispersed phase. Exercises at the end of each chapterare provided for further study and lead into applications not covered in the text itself. - Treats fluidization as a branch of transport phenomena - Demonstrates how to do transient, multidimensional simulation of multiphase processes - The first book to apply kinetic theory to flow of particulates - Is the only book to discuss numerical stability of multiphase equations and whether or not such equations are well-posed - Explains the origin of bubbles and the concept of critical granular flow - Presents clearly written exercises at the end of each chapter to facilitate understanding and further study

Continuum Methods of Physical Modeling

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Publisher : Springer Science & Business Media
ISBN 13 : 3662064022
Total Pages : 645 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Continuum Methods of Physical Modeling by : Kolumban Hutter

Download or read book Continuum Methods of Physical Modeling written by Kolumban Hutter and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.

Continuum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0817648704
Total Pages : 353 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Continuum Mechanics by : Antonio Romano

Download or read book Continuum Mechanics written by Antonio Romano and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.

Kinetic and Continuum Theories of Granular and Porous Media

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Publisher : Springer
ISBN 13 : 3709124948
Total Pages : 312 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Kinetic and Continuum Theories of Granular and Porous Media by : Kolumban Hutter

Download or read book Kinetic and Continuum Theories of Granular and Porous Media written by Kolumban Hutter and published by Springer. This book was released on 2014-05-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an account on the thermomechanical behaviour of granular and porous materials and deals with experiments, theoretical deduction of macroscale equations by means of averaging from microscale properties, embedding the macroscopic description into a continuum-thermodynamical and statistical context and analysis of solutions of macroscopic models by numerical techniques. It addresses itself to engineers (chemical, civil, mechanical) applied mathematicians and physicists at the advanced student or Ph. D. level at universities, research centres and in industry.