Gallavotti, Giovanni
Overview
Works:  55 works in 219 publications in 4 languages and 3,459 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Author of introduction 
Classifications:  QC174.8, 531 
Publication Timeline
.
Most widely held works by
Giovanni Gallavotti
The elements of mechanics by
Giovanni Gallavotti(
Book
)
17 editions published in 1983 in English and German and held by 362 WorldCat member libraries worldwide
17 editions published in 1983 in English and German and held by 362 WorldCat member libraries worldwide
Statistical mechanics : a short treatise by
Giovanni Gallavotti(
Book
)
13 editions published in 1999 in English and German and held by 361 WorldCat member libraries worldwide
This book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasizes the relation between microscopic reversibility and macroscopic irreversibility. Students will find a clear and detailed explanation of fundamental concepts such as equipartition, entropy, and ergodicity. They will learn about Brownian motion, the modern treatment of the thermodynamic limit phase transitions, the microscopic and macroscopic theory of the coexistence of phases, statistical mechanics of stationary states, and fluctuations and dissipation in chaotic motions
13 editions published in 1999 in English and German and held by 361 WorldCat member libraries worldwide
This book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasizes the relation between microscopic reversibility and macroscopic irreversibility. Students will find a clear and detailed explanation of fundamental concepts such as equipartition, entropy, and ergodicity. They will learn about Brownian motion, the modern treatment of the thermodynamic limit phase transitions, the microscopic and macroscopic theory of the coexistence of phases, statistical mechanics of stationary states, and fluctuations and dissipation in chaotic motions
Foundations of fluid dynamics by
Giovanni Gallavotti(
Book
)
24 editions published between 1996 and 2011 in English and Italian and held by 310 WorldCat member libraries worldwide
This monograph on fluid mechanics is not only a superb and unique textbook but also an impressive piece of research. The author writes from the vantage point of a mathematical physicist: Having in mind the important applications and approximation techniques used in physics and engineering, he carefully analyses the power of the theory. He examines, among others, the theories of Leray, Ruelle and Takens, and discusses Lorenz's ideas of attractors. This is the only textbook that fully covers turbulence, all the way from the works of Kolmogorov to modern dynamics. This 2nd corrected printing has been thoroughly revised with many changes to improve readability
24 editions published between 1996 and 2011 in English and Italian and held by 310 WorldCat member libraries worldwide
This monograph on fluid mechanics is not only a superb and unique textbook but also an impressive piece of research. The author writes from the vantage point of a mathematical physicist: Having in mind the important applications and approximation techniques used in physics and engineering, he carefully analyses the power of the theory. He examines, among others, the theories of Leray, Ruelle and Takens, and discusses Lorenz's ideas of attractors. This is the only textbook that fully covers turbulence, all the way from the works of Kolmogorov to modern dynamics. This 2nd corrected printing has been thoroughly revised with many changes to improve readability
Renormalization group by
Giuseppe Benfatto(
Book
)
8 editions published in 1995 in English and held by 304 WorldCat member libraries worldwide
8 editions published in 1995 in English and held by 304 WorldCat member libraries worldwide
Nonlinear evolution and chaotic phenomena by
Giovanni Gallavotti(
Book
)
14 editions published in 1988 in English and held by 227 WorldCat member libraries worldwide
14 editions published in 1988 in English and held by 227 WorldCat member libraries worldwide
Aspects of ergodic, qualitative, and statistical theory of motion by
Giovanni Gallavotti(
Book
)
16 editions published between 1981 and 2010 in 4 languages and held by 171 WorldCat member libraries worldwide
Intended for beginners in ergodic theory, this book addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM theory. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems
16 editions published between 1981 and 2010 in 4 languages and held by 171 WorldCat member libraries worldwide
Intended for beginners in ergodic theory, this book addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM theory. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems
The FermiPastaUlam problem : a status report by
Giovanni Gallavotti(
Book
)
12 editions published between 2007 and 2008 in English and held by 128 WorldCat member libraries worldwide
The apparent contradiction of the results of the FermiPastaUlam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the FermiPastaUlam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of onedimensional chains, descriptions of numerical methods, heuristic theories, addressing the???long standing and controversia
12 editions published between 2007 and 2008 in English and held by 128 WorldCat member libraries worldwide
The apparent contradiction of the results of the FermiPastaUlam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the FermiPastaUlam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of onedimensional chains, descriptions of numerical methods, heuristic theories, addressing the???long standing and controversia
Boltzmann's legacy by International Symposium "Boltzmann's Legacy"(
Book
)
11 editions published between 2006 and 2008 in English and held by 116 WorldCat member libraries worldwide
11 editions published between 2006 and 2008 in English and held by 116 WorldCat member libraries worldwide
International Conference on Dynamical Systems in Mathematical Physics, Rennes, 1975, Sept. 1421 by
Société mathématique de France(
Book
)
8 editions published between 1975 and 1977 in English and French and held by 110 WorldCat member libraries worldwide
8 editions published between 1975 and 1977 in English and French and held by 110 WorldCat member libraries worldwide
Nonequilibrium and irreversibility by
Giovanni Gallavotti(
Book
)
8 editions published in 2014 in English and held by 26 WorldCat member libraries worldwide
This book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states of particles or of fluids (understood as probability distributions on microscopic configurations or on the fields describing continua) have received important new ideas and data from numerical simulations and reviews are needed. The starting point is to find out which time invariant distributions come into play in physics. A special feature of this book is the historical approach. To identify the problems the
8 editions published in 2014 in English and held by 26 WorldCat member libraries worldwide
This book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states of particles or of fluids (understood as probability distributions on microscopic configurations or on the fields describing continua) have received important new ideas and data from numerical simulations and reviews are needed. The starting point is to find out which time invariant distributions come into play in physics. A special feature of this book is the historical approach. To identify the problems the
Statistical mechanics by
Centro internazionale matematico estivo(
Book
)
5 editions published in 1978 in English and held by 22 WorldCat member libraries worldwide
5 editions published in 1978 in English and held by 22 WorldCat member libraries worldwide
Meccanica elementare by
Giovanni Gallavotti(
Book
)
4 editions published between 1980 and 1986 in Italian and held by 21 WorldCat member libraries worldwide
4 editions published between 1980 and 1986 in Italian and held by 21 WorldCat member libraries worldwide
Statistical mechanics : lectures given at the Centro internazionale matematico estivo (C.I.M.E.) held in Bressanone (Bolzano),
Italy, June 2127, 1976 by C.I.M.E. Summer School(
Book
)
9 editions published in 2010 in English and held by 19 WorldCat member libraries worldwide
Annotation
9 editions published in 2010 in English and held by 19 WorldCat member libraries worldwide
Annotation
Statistical mechancis by
Giovanni Gallavotti(
)
5 editions published in 2011 in English and held by 10 WorldCat member libraries worldwide
C. Cercignani: A sketch of the theory of the Boltzmann equation. O.E. Lanford: Qualitative and statistical theory of dissipative systems. E.H. Lieb: many particle Coulomb systems. B. Tirozzi: Report on renormalization group. A. Wehrl: Basic properties of entropy in quantum mechanics
5 editions published in 2011 in English and held by 10 WorldCat member libraries worldwide
C. Cercignani: A sketch of the theory of the Boltzmann equation. O.E. Lanford: Qualitative and statistical theory of dissipative systems. E.H. Lieb: many particle Coulomb systems. B. Tirozzi: Report on renormalization group. A. Wehrl: Basic properties of entropy in quantum mechanics
Problemes ergodiques de la mecanique classique by
Giovanni Gallavotti(
Book
)
6 editions published between 1976 and 1982 in French and Italian and held by 8 WorldCat member libraries worldwide
6 editions published between 1976 and 1982 in French and Italian and held by 8 WorldCat member libraries worldwide
Meccanica statistica by
Giovanni Gallavotti(
Book
)
5 editions published in 1995 in Italian and held by 8 WorldCat member libraries worldwide
5 editions published in 1995 in Italian and held by 8 WorldCat member libraries worldwide
Some aspects of the renormalization problems in statistical mechanics and field theory by
Giovanni Gallavotti(
Book
)
2 editions published in 1978 in Undetermined and English and held by 6 WorldCat member libraries worldwide
2 editions published in 1978 in Undetermined and English and held by 6 WorldCat member libraries worldwide
Renormalization group by
Giovanni Gallavotti(
Book
)
2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide
Mathematical foundation of turbulent viscous flows : lectures given at the C.I.M.E. summer school held in Martina Franca,
Italy, September 15, 2003 by
M Cannone(
Book
)
4 editions published between 2005 and 2006 in English and held by 4 WorldCat member libraries worldwide
Five leading specialists reflect on different and complementary approaches to fundamental questions in the study of the Fluid Mechanics and Gas Dynamics equations. Constantin presents the Euler equations of ideal incompressible fluids and discusses the blowup problem for the NavierStokes equations of viscous fluids, describing some of the major mathematical questions of turbulence theory. These questions are connected to the CaffarelliKohnNirenberg theory of singularities for the incompressible NavierStokes equations that is explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to NavierStokes equations. Y. Meyer focuses on several nonlinear evolution equations  in particular NavierStokes  and some related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, whenever it is localized in space or in time variable. Ukai presents the asymptotic analysis theory of fluid equations. He discusses the CauchyKovalevskaya technique for the BoltzmannGrad limit of the Newtonian equation, the multiscale analysis, giving the compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers
4 editions published between 2005 and 2006 in English and held by 4 WorldCat member libraries worldwide
Five leading specialists reflect on different and complementary approaches to fundamental questions in the study of the Fluid Mechanics and Gas Dynamics equations. Constantin presents the Euler equations of ideal incompressible fluids and discusses the blowup problem for the NavierStokes equations of viscous fluids, describing some of the major mathematical questions of turbulence theory. These questions are connected to the CaffarelliKohnNirenberg theory of singularities for the incompressible NavierStokes equations that is explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to NavierStokes equations. Y. Meyer focuses on several nonlinear evolution equations  in particular NavierStokes  and some related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, whenever it is localized in space or in time variable. Ukai presents the asymptotic analysis theory of fluid equations. He discusses the CauchyKovalevskaya technique for the BoltzmannGrad limit of the Newtonian equation, the multiscale analysis, giving the compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers
Mathematical physics electronic journal(
)
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
The aim of this journal (http://www.ma.utexas.edu/mpej/) is to publish papers in mathematical physics and related areas that are of the highest quality. Research papers and review articles are selected through the normal refereeing process, overseen by an editorial board. The research subjects are primarily on mathematical physics; but this should not be interpreted as a limitation, as the editors feel that essentially all subjects of mathematics and physics are in principle relevant to mathematical physics
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
The aim of this journal (http://www.ma.utexas.edu/mpej/) is to publish papers in mathematical physics and related areas that are of the highest quality. Research papers and review articles are selected through the normal refereeing process, overseen by an editorial board. The research subjects are primarily on mathematical physics; but this should not be interpreted as a limitation, as the editors feel that essentially all subjects of mathematics and physics are in principle relevant to mathematical physics
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Related Identities
 Centro internazionale matematico estivo Other
 Benfatto, Giuseppe 1944 Author
 Zweifel, P. F. (Paul Frederick) 1929 Editor
 North Atlantic Treaty Organization Scientific Affairs Division
 Gentile, G. (Guido)
 Bonetto, F. (Federico) Author
 Ruelle, David Author
 Reiter, Wolfgang L. Editor
 Keane, M. S. (Michael S.)
 Jakob Yngvason Editor
Associated Subjects
Boltzmann, Ludwig, Chaotic behavior in systems Chaotic behavior in systemsMathematical models Critical phenomena (Physics) Differentiable dynamical systems Differential equations, Partial Dynamics Ergodic theory Fluid dynamics Fluid mechanics Irreversible processes Materials Mathematical physics Mathematics Measurepreserving transformations Mechanics NavierStokes equations Nonequilibrium statistical mechanics Nonlinear theories Particles (Nuclear physics) Phase space (Statistical physics) Physics Probabilities Renormalization group Statistical mechanics Statistical physics TurbulenceMathematical models Viscous flow