Pulvirenti, M. (Mario) 1946
Overview
Works:  23 works in 89 publications in 2 languages and 1,591 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA1, 530.144 
Publication Timeline
.
Most widely held works by
M Pulvirenti
Mathematical theory of incompressible nonviscous fluids by
Carlo Marchioro(
Book
)
15 editions published between 1993 and 1999 in English and held by 364 WorldCat member libraries worldwide
This book deals with fluid dynamics of incompressible nonviscous fluids. The main goal is to present an argument of large interest for physics, and applications in a rigorous logical and mathematical setup, therefore avoiding cumbersome technicalities. Classical as well as modern mathematical developments are illustrated in this book, which should fill a gap in the present literature. The book does not require a deep mathematical knowledge. The required background is a good understanding of classical arguments of mathematical analysis, including the basic elements of ordinary and partial differential equations, measure theory and analytic functions, and a few notions of potential theory and functional analysis. The contents of the book begins with the Euler equation, construction of solutions, stability of stationary solutions of the Euler equation. It continues with the vortex model, approximation methods, evolution of discontinuities, and concludes with turbulence
15 editions published between 1993 and 1999 in English and held by 364 WorldCat member libraries worldwide
This book deals with fluid dynamics of incompressible nonviscous fluids. The main goal is to present an argument of large interest for physics, and applications in a rigorous logical and mathematical setup, therefore avoiding cumbersome technicalities. Classical as well as modern mathematical developments are illustrated in this book, which should fill a gap in the present literature. The book does not require a deep mathematical knowledge. The required background is a good understanding of classical arguments of mathematical analysis, including the basic elements of ordinary and partial differential equations, measure theory and analytic functions, and a few notions of potential theory and functional analysis. The contents of the book begins with the Euler equation, construction of solutions, stability of stationary solutions of the Euler equation. It continues with the vortex model, approximation methods, evolution of discontinuities, and concludes with turbulence
The mathematical theory of dilute gases by
Carlo Cercignani(
Book
)
12 editions published in 1994 in English and held by 332 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
12 editions published in 1994 in English and held by 332 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
Vortex methods in twodimensional fluid dynamics by
Carlo Marchioro(
Book
)
13 editions published between 1983 and 1984 in English and Undetermined and held by 244 WorldCat member libraries worldwide
13 editions published between 1983 and 1984 in English and Undetermined and held by 244 WorldCat member libraries worldwide
Modeling in applied sciences : a kinetic theory approach(
Book
)
9 editions published in 2000 in English and held by 186 WorldCat member libraries worldwide
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and realworld applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetictheory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Selfcontained introduction to kinetic models * BeckerDoring equations * Nonlinear kinetic models with chemical reactions * Kinetic trafficflow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use largescale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic
9 editions published in 2000 in English and held by 186 WorldCat member libraries worldwide
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and realworld applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetictheory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Selfcontained introduction to kinetic models * BeckerDoring equations * Nonlinear kinetic models with chemical reactions * Kinetic trafficflow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use largescale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic
Kinetic equations and asymptotic theory by
François Bouchut(
Book
)
6 editions published in 2000 in English and held by 78 WorldCat member libraries worldwide
6 editions published in 2000 in English and held by 78 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 by
Carlo Cercignani(
)
2 editions published in 1993 in English and held by 39 WorldCat member libraries worldwide
Annotation
2 editions published in 1993 in English and held by 39 WorldCat member libraries worldwide
Annotation
Vortex Methods in TwoDimensional Fluid Dynamics by
C Marchioro(
)
1 edition published in 1984 in English and held by 28 WorldCat member libraries worldwide
1 edition published in 1984 in English and held by 28 WorldCat member libraries worldwide
Convergence of Galerkin approximation for twodimensional VlasovPoisson equation by
M Pulvirenti(
Book
)
3 editions published between 1983 and 1984 in English and held by 13 WorldCat member libraries worldwide
3 editions published between 1983 and 1984 in English and held by 13 WorldCat member libraries worldwide
On the VlasovFokkerPlanckequation by
H Neunzert(
Book
)
2 editions published in 1984 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 1984 in English and held by 13 WorldCat member libraries worldwide
On the statistical solutions of VlasovPoisson equations in two dimensions by
M Pulvirenti(
Book
)
2 editions published in 1984 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 1984 in English and held by 13 WorldCat member libraries worldwide
Global validity of the Boltzmann equation for a twodimensional rare gas in vacuum by
Reinhard Illner(
Book
)
2 editions published in 1985 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 1985 in English and held by 13 WorldCat member libraries worldwide
Evoluzione temporale di sistemi classici di infinite particelle : lezioni tenute per la 5. Scuola estiva di fisica matematica
organizzata dal Gruppo nazionale per la fisica matematica, Ravello 15 settembre, 3 ottobre 1980 by
M Pulvirenti(
Book
)
5 editions published in 1981 in Italian and English and held by 7 WorldCat member libraries worldwide
5 editions published in 1981 in Italian and English and held by 7 WorldCat member libraries worldwide
On the evolution of the empirical measure for the hardsphere dynamics by
M Pulvirenti(
)
1 edition published in 2015 in English and held by 5 WorldCat member libraries worldwide
We prove that the evolution of marginals associated to the empirical measure of a finite system of hard spheres is driven by the BBGKY hierarchical expansion. The usual hierarchy of equations for L1 measures is obtained as a corollary. We discuss the ambiguities arising in the corresponding notion of microscopic series solution to the BoltzmannEnskog equation
1 edition published in 2015 in English and held by 5 WorldCat member libraries worldwide
We prove that the evolution of marginals associated to the empirical measure of a finite system of hard spheres is driven by the BBGKY hierarchical expansion. The usual hierarchy of equations for L1 measures is obtained as a corollary. We discuss the ambiguities arising in the corresponding notion of microscopic series solution to the BoltzmannEnskog equation
Stationary particle systems approximating stationary solutions to the Boltzmann equation by Silvia Caprino(
Book
)
1 edition published in 1996 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 4 WorldCat member libraries worldwide
Convergence of particle schemes for the Boltzmann equation by
M Pulvirenti(
Book
)
1 edition published in 1993 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 4 WorldCat member libraries worldwide
Probabilistic models for nonlinear partial differential equations : lectures given at the 1st session of the Centro internazionale
matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, May 2230, 1995 by
Centro internazionale matematico estivo(
Book
)
2 editions published in 1996 in Undetermined and English and held by 2 WorldCat member libraries worldwide
The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a threefold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmannlike and NavierStokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers
2 editions published in 1996 in Undetermined and English and held by 2 WorldCat member libraries worldwide
The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a threefold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmannlike and NavierStokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers
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 by
L Arkeryd(
Book
)
4 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
This volume contains the text of four sets of lectures delivered at the third session of the Summer School organized by C.I.M.E. (Centro Internazionale Matematico Estivo). These texts are preceded by an introduction written by C. Cercignani and M. Pulvirenti which summarizes the present status in the area of Nonequilibrium Problems in ManyParticle Systems and tries to put the contents of the different sets of lectures in the right perspective, in order to orient the reader. The lectures deal with the global existence of weak solutions for kinetic models and related topics, the basic concepts of nonstandard analysis and their application to gas kinetics, the kinetic equations for semiconductors and the entropy methods in the study of hydrodynamic limits. CONTENTS: C. Cercignani, M. Pulvirenti: Nonequilibrium Problems in ManyParticle Systems. An Introduction. L. Arkeryd: Some Examples of NSA in Kinetic Theory. P.L. Lions: Global Solutions of Kinetic Models and Related Problems. P.A. Markowich: Kinetic Models for Semiconductors. S.R.S. Varadhan: Entropy Methods in Hydrodynamic Scaling
4 editions published in 1993 in English and held by 2 WorldCat member libraries worldwide
This volume contains the text of four sets of lectures delivered at the third session of the Summer School organized by C.I.M.E. (Centro Internazionale Matematico Estivo). These texts are preceded by an introduction written by C. Cercignani and M. Pulvirenti which summarizes the present status in the area of Nonequilibrium Problems in ManyParticle Systems and tries to put the contents of the different sets of lectures in the right perspective, in order to orient the reader. The lectures deal with the global existence of weak solutions for kinetic models and related topics, the basic concepts of nonstandard analysis and their application to gas kinetics, the kinetic equations for semiconductors and the entropy methods in the study of hydrodynamic limits. CONTENTS: C. Cercignani, M. Pulvirenti: Nonequilibrium Problems in ManyParticle Systems. An Introduction. L. Arkeryd: Some Examples of NSA in Kinetic Theory. P.L. Lions: Global Solutions of Kinetic Models and Related Problems. P.A. Markowich: Kinetic Models for Semiconductors. S.R.S. Varadhan: Entropy Methods in Hydrodynamic Scaling
Hydrodynamics in two dimensions and vortex theory by
C Marchioro(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
A note on the nonlinear stability of a spatially symmetric VlasovPoisson flow by
Carlo Marchioro(
Book
)
2 editions published in 1985 in English and held by 1 WorldCat member library worldwide
2 editions published in 1985 in English and held by 1 WorldCat member library worldwide
Some considerations on the nonlinear stability of stationary planar Euler flows by
Carlo Marchioro(
Book
)
2 editions published in 1984 in English and held by 1 WorldCat member library worldwide
2 editions published in 1984 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Marchioro, Carlo Author
 Cercignani, Carlo Author Editor
 Illner, Reinhard Author
 Bellomo, N. Editor
 Golse, François
 Bouchut, François 1967 ... Author
 Desvillettes, Laurent Editor
 Perthame, Benoît 1959 ... Editor
 Marchioro, C. Author
 Wick, Joachim
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Associated Subjects
Calculus Chemistry, Physical and theoretical Convergence Differential equations, NonlinearNumerical solutions Differential equations, Partial Differential equations, PartialAsymptotic theory Differential equationsAsymptotic theory Distribution (Probability theory) Dynamics Engineering Fluid dynamics Fluids Global analysis (Mathematics) Hydraulic engineering Kinetic theory of gases Lagrange equations Manybody problemNumerical solutions Mathematical analysis Mathematical models Mathematical physics Mathematics Mechanics Mechanics, Applied Nonequilibrium thermodynamics Numerical analysis Particles (Nuclear physics) Physics Statistical physics Stochastic partial differential equationsNumerical solutions Thermodynamics Transport theory Vortexmotion