Cercignani, CarloOverview
Publication Timeline
Most widely held works by
Carlo Cercignani
Ludwig Boltzmann : the man who trusted atoms
by Carlo Cercignani
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34 editions published between 1998 and 2010 in English and held by 830 WorldCat member libraries worldwide Aimed at scientists, historians, philosophers of science and the general public interested in his work, this is a biography of Ludwig Boltzmann, a seminal figure in the foundations of modern science
Mathematical methods in kinetic theory
by Carlo Cercignani
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19 editions published between 1969 and 2014 in English and Undetermined and held by 696 WorldCat member libraries worldwide
Slow rarefied flows theory and application to microelectromechanical systems
by Carlo Cercignani
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22 editions published in 2006 in English and held by 510 WorldCat member libraries worldwide Presents the mathematical tools used to deal with problems related to slow rarefied flows, with particular attention to basic concepts and problems which arise in the study of micro and nanomachines. This book presents the mathematical theory of slow flows, provides a justification for the use of the linearized Boltzmann equation, and more
Transport phenomena and kinetic theory applications to gases, semiconductors, photons, and biological systems
by Carlo Cercignani
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17 editions published between 2006 and 2007 in English and held by 480 WorldCat member libraries worldwide The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in many applications in areas such as engineering, meteorology, biology, chemistry, materials science, nanotechnology, and pharmacy. Written by leading specialists in their respective fields, this book presents an overview of recent developments in the field of mathematical kinetic theory with a focus on modeling complex systems, emphasizing both mathematical properties and their physical meaning. The overall presentation covers not only modeling aspects and qualitative analysis of mathematical problems, but also inverse problems, which lead to a detailed assessment of models in connection with their applications, and to computational problems, which lead to an effective link of models to the analysis of realworld systems. Transport Phenomena and Kinetic Theory is an excellent selfstudy reference for graduate students, researchers, and practitioners working in pure and applied mathematics, mathematical physics, and engineering. The work may be used in courses or seminars on selected topics in transport phenomena or applications of the Boltzmann equation
Kinetic theories and the Boltzmann equation : lectures given at the 1st 1981 session of the Centro internazionale matematico estivo (C.I.M.E.), held at Montecatini, Italy, June 1018, 1981
by Carlo Cercignani
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16 editions published between 1984 and 2008 in 3 languages and held by 466 WorldCat member libraries worldwide
The Boltzmann equation and its applications
by Carlo Cercignani
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13 editions published between 1988 and 2013 in English and held by 413 WorldCat member libraries worldwide This book gives a complete exposition of the present status of the theory of the Boltzmann equation and its applications. The Boltzmann equation, an integrodifferential equation established by Boltzmann in 1872 to describe the state of a dilute gas, still forms the basis for the kinetic theory of gases. It has proved fruitful not only for the study of the classical gases Boltzmann had in mind, but also, properly generalized, for electron transport in nuclear reactors, photon transport in superfluids, and radiative transport in planetary and stellar atmospheres. The text presents a unified approach to the problems arising in these different fields, by exploiting similarities whenever they exist and underlining the differences when necessary. But the main exposition is tied to the classical equation established by Boltzmann. Hence the detailed description of applications refers almost exclusively to monatomic neutral gases. Appropiate references are given to papers dealing with similar problems arising in other fields, with particular concern for neutron transport. A unique feature is the detailed consideration of the boundary conditions to be used in connection with the Boltzmann equation. Other topics covered in detail are the derivation of the Boltzmann equation from first principles, the theory of the linearized Boltzmann equation, the use of model equations, and the various regimes of rarefied gas dynamics. In addition to updating the material to 1987, the main improvement over the previous book of the author, "Theory and Application of the Boltzmann equation" is the detailed survey of the use of the techniques of functional analysis in connection with the nonlinear Boltzmann equation, a subject which has greatly progressed in the last ten years
The mathematical theory of dilute gases
by Carlo Cercignani
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Book
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11 editions published between 1994 and 2013 in English and held by 336 WorldCat member libraries worldwide This book is devoted to the presentation of rigorous mathematical results in the kinetic theory of a gas of hard spheres. Recent developments as well as classical results are presented in a unified way, such that the book should become the standard reference on the subject. There is no such book available at present. The reader will find a systematic treatment of the main mathematical results, a discussion of open problems, and a guide to the existing literature. There is a rigorous and comprehensive presentation of strict validation of the Boltzmann equations, global existence theory, and the fluiddynamical limits. The authors also review and discuss classical derivation and properties of the Boltzmann equation, particle simulation methods, and boundary conditions
Theory and application of the Boltzmann equation
by Carlo Cercignani
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14 editions published in 1975 in English and held by 314 WorldCat member libraries worldwide Appendix after each chapter
The relativistic Boltzmann equation : theory and applications
by Carlo Cercignani
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9 editions published in 2002 in English and held by 207 WorldCat member libraries worldwide The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a selfcontained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation
Scaling limits and models in physical processes
by Carlo Cercignani
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Book
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11 editions published in 1998 in English and held by 203 WorldCat member libraries worldwide This is an introductory text, in two parts, on scaling limits and modelling in equations of mathematical physics. The first part is concerned with basic concepts of the kinetic theory of gases which is not only important in its own right but also as a prototype of a mathematical construct central to the theory of nonequilibrium phenomena in large systems. It also features a very readable historic survey of the field. The second part dwells on the role of integrable systems for modelling weakly nonlinear equations which contain the effects of both dispersion and nonlinearity. Starting with a historical introduction to the subject and a description of numerical techniques, it proceeds to a discussion of the derivation of the Korteweg de Vries and nonlinear Schrödinger equations, followed by a careful treatment of the inverse scattering theory for the Schrödinger operator. The book provides an uptodate and detailed overview to this very active area of research and is intended as an accessible introduction for nonspecialists and graduate students in mathematics, physics and engineering
Rarefied gas dynamics : from basic concepts to actual calculations
by Carlo Cercignani
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12 editions published between 2000 and 2004 in English and held by 195 WorldCat member libraries worldwide "The aim of this book is to present the concepts, methods, and applications of kinetic theory to rarefied gas dynamics. After introducing the basic tools, problems in plane geometry are treated using approximation techniques (perturbation and numerical methods). These same techniques are late used to deal with two and threedimensional problems. The models include not only monatomic but also polyatomic gases, mixtures, and chemical reactions. A special chapter is devoted to evaporation and condensation phenomena." "Each section is accompanied by problems that are mainly intended to demonstrate the use of the material in the text and to outline additional subjects, results, and equations. This will help ensure that the book can be used for a range of graduate courses in aerospace engineering or applied mathematics."BOOK JACKET
Manyparticle dynamics and kinetic equations
by Carlo Cercignani
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8 editions published in 1997 in English and held by 165 WorldCat member libraries worldwide This book is devoted to the evolution of infinite systems interacting via a short range potential. The Hamilton dynamics is defined through its evolution semigroup and the corresponding BogolubovBornGreenKirkwoodYvo n (BBGKY) hierarchy is constructed. The existence of global in time solutions of the BBGKY hierarchy for hard spheres interacting via a short range potential is proved in the BoltzmannGrad limit and by Bogolubov's and Cohen's methods. Audience: This volume will be of interest to graduate students and researchers whose work involves mathematical and theoretical physics, functional analysis and probability theory
Kinetic theory and gas dynamics
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6 editions published in 1988 in English and held by 108 WorldCat member libraries worldwide
Nonequilibrium Problems in ManyParticle Systems : Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini, Italy, June 1527, 1992
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1 edition published in 1993 in English and held by 30 WorldCat member libraries worldwide
Ludwig Boltzmann e la meccanica statistica
by Carlo Cercignani
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6 editions published in 1997 in Italian and held by 29 WorldCat member libraries worldwide
Proceedings of the 15th International Symposium on Rarefied Gas Dynamics, June 1620, 1986, Grado, Italy
by International symposium on Rarefied gas dynamics
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6 editions published in 1986 in English and held by 28 WorldCat member libraries worldwide
Vettori matrici geometria
by Carlo Cercignani
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4 editions published between 1976 and 1985 in Italian and held by 23 WorldCat member libraries worldwide
Kinetic theories and the Boltzmann equation : lectures given at the 1st session of the Centro internazionale matematico estivo (CIME), held at Montecatini, Italy, June 1018, 1981
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3 editions published in 1984 in English and held by 23 WorldCat member libraries worldwide
Spazio, tempo, movimento : introduzione alla meccanica razionale
by Carlo Cercignani
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3 editions published between 1976 and 1994 in Italian and held by 15 WorldCat member libraries worldwide
Teoria ed applicazioni della serie di Fourier
by Carlo Cercignani
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4 editions published in 1972 in Italian and Undetermined and held by 14 WorldCat member libraries worldwide more
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Associated Subjects
Atomic structure Austria Boltzmann, Ludwig, Boundary value problems Chemistry, Physical and theoretical ChemistryMathematics Differentiable dynamical systems Differential equations, Partial Distribution (Probability theory) Engineering Evolution equations Functions, Special Gas dynamics Geometry Hydraulic engineering Kinetic theory of gases Mathematical physics Mathematics Matrices Mechanics Physicists Physics Rarefied gas dynamics Relativistic kinematics Scaling laws (Statistical physics) Statistical mechanics Statistical physics Thermodynamic equilibrium Thermodynamics Transport theory Vector spaces

Alternative Names
Cercignani, C.
Cercignani, C. 19392010
Cercignani, C. (Carlo)
Cercignani, Carlo
Čerčin'âni, K.
Čerčinʹjan, K. 19392010
Cherchinʹi︠a︡ni, K.
Cherchinʹi︠a︡ni, Karlo
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