Edit Profile (opens in new tab) Pulvirenti, Mario Compute Distance To: Compute Author ID: pulvirenti.mario Published as: Pulvirenti, M.; Pulvirenti, Mario External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 135 Publications since 1976, including 4 Books 4 Contributions as Editor Co-Authors: 73 Co-Authors with 118 Joint Publications 2,150 Co-Co-Authors all top 5 Co-Authors 19 single-authored 25 Marchioro, Carlo 18 Benedetto, Dario 18 Esposito, Raffaele 14 Caglioti, Emanuele 10 Caprino, Silvia 10 Simonella, Sergio 7 Benfatto, Giuseppe 5 Castella, François 5 Illner, Reinhard 5 Paul, Thierry 5 Pezzotti, Federica 4 Golse, François 4 Pellegrinotti, Alessandro 3 Bellomo, Nicola 3 Cercignani, Carlo 3 Miot, Evelyne 3 Perthame, Benoît 3 Presutti, Errico 3 Saffirio, Chiara 3 Teta, Alessandro 2 Aoki, Kazuo 2 Athanassoulis, Agisillaos 2 De Masi, Anna 2 dell’Isola, Francesco 2 Desvillettes, Laurent 2 Di Lisio, Roberto 2 Grenier, Emmanuel 2 Lions, Pierre-Louis 2 Marra, Rossana 2 Nota, Alessia 2 Rousset, Frédéric 2 Wick, Joachim 1 Angelescu, Nicolae 1 Arkeryd, Leif O. 1 Bobylev, Alexandre Vasiljévitch 1 Bouchut, François 1 Brezzi, Franco 1 Buttà, Paolo 1 Calderoni, Paola 1 Carcaterra, Antonio 1 Carrillo de la Plata, José Antonio 1 Cavallaro, Guido 1 Ciallella, Alessandro 1 Colagrossi, Andrea 1 Colangeli, Matteo 1 Degond, Pierre 1 Della Corte, Alessandro 1 Dürr, Detlef 1 Gallavotti, Giovanni M. 1 Graffi, Sandro 1 Graham, Carl 1 Graziani, Giorgio 1 Hauray, Maxime 1 He, Lingbing 1 Kurtz, Thomas Gordon 1 Lachowicz, Mirosław 1 Lu, Xuguang 1 Martinez, André 1 Méléard, Sylvie 1 Neunzert, Helmut 1 Picco, Pierre 1 Protter, Philip Elliott 1 Ricci, Valeria 1 Riela, G. 1 Sciarretta, Cecilia 1 Shinbrot, Marvin 1 Suhov, Yurii Mikhailovich 1 Talay, Denis 1 Triolo, Livio 1 Trushechkin, Anton Sergeevich 1 Tsuji, Tetsuro 1 Wan, Yieh-Hei 1 Zavelani Rossi, M. B. all top 5 Serials 29 Communications in Mathematical Physics 9 Archive for Rational Mechanics and Analysis 9 Journal of Statistical Physics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Communications in Partial Differential Equations 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Kinetic and Related Models 3 Mathematics and Mechanics of Complex Systems 2 Computers & Mathematics with Applications 2 Transport Theory and Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Functional Analysis 2 Asymptotic Analysis 2 Discrete and Continuous Dynamical Systems 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Annales Henri Poincaré 2 Communications in Mathematical Sciences 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Applied Mathematical Sciences 2 Lecture Notes in Mathematics 1 Reviews in Mathematical Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Inventiones Mathematicae 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 European Journal of Mechanics. B. Fluids 1 The Annals of Applied Probability 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Séminaire Équations aux Dérivées Partielles 1 Markov Processes and Related Fields 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Lecture Notes in Physics 1 Journal of Physics A: Mathematical and Theoretical 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Nonlinear Analysis. Theory, Methods & Applications 1 Modeling and Simulation in Science, Engineering and Technology 1 Mathematics in Engineering all top 5 Fields 74 Statistical mechanics, structure of matter (82-XX) 65 Fluid mechanics (76-XX) 57 Partial differential equations (35-XX) 27 Probability theory and stochastic processes (60-XX) 10 Mechanics of particles and systems (70-XX) 10 Quantum theory (81-XX) 8 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 3 Measure and integration (28-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 Ordinary differential equations (34-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 2,525 times in 1,750 Documents Cited by ▼ Year ▼ The mathematical theory of dilute gases. Zbl 0813.76001Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario 505 1994 Mathematical theory of incompressible nonviscous fluids. Zbl 0789.76002Marchioro, Carlo; Pulvirenti, Mario 254 1994 A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. Zbl 0745.76001Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M. 203 1992 A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II. Zbl 0840.76002Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M. 132 1995 A kinetic equation for granular media. Zbl 0888.73006Benedetto, D.; Caglioti, E.; Pulvirenti, M. 68 1997 A non-Maxwellian steady distribution for one-dimensional granular media. Zbl 0921.60057Benedetto, D.; Caglioti, E.; Carrillo, J. A.; Pulvirenti, M. 57 1998 Hydrodynamics in two dimensions and vortex theory. Zbl 0527.76021Marchioro, C.; Pulvirenti, M. 52 1982 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 48 2000 Nonlinear stability of circular vortex patches. Zbl 0584.76062Wan, Y. H.; Pulvirenti, M. 48 1985 Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum. Zbl 0609.76083Illner, Reinhard; Pulvirenti, Mario 41 1986 Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials. Zbl 1352.37193Carcaterra, A.; Dell’Isola, F.; Esposito, R.; Pulvirenti, M. 40 2015 On the validity of the Boltzmann equation for short range potentials. Zbl 1296.82051Pulvirenti, M.; Saffirio, C.; Simonella, S. 39 2014 Vortex methods in two-dimensional fluid dynamics. Zbl 0545.76027Marchioro, C.; Pulvirenti, M. 38 1984 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072Perthame, B.; Pulvirenti, M. 38 1993 Euler evolution for singular initial data and vortex theory. Zbl 0529.76023Marchioro, C.; Pulvirenti, M. 33 1983 Vortices and localization in Euler flows. Zbl 0774.35058Marchioro, Carlo; Pulvirenti, Mario 33 1993 Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result. Zbl 0850.76600Illner, R.; Pulvirenti, M. 29 1989 The Boltzmann equation for weakly inhomogeneous data. Zbl 0663.76080Arkeryd, L.; Esposito, R.; Pulvirenti, M. 29 1987 Some considerations on the nonlinear stability of stationary planar Euler flows. Zbl 0625.76060Marchioro, C.; Pulvirenti, M. 25 1985 Approach to equilibrium in a microscopic model of friction. Zbl 1113.82059Caprino, S.; Marchioro, C.; Pulvirenti, M. 25 2006 Mean-field approximation of quantum systems and classical limit. Zbl 1049.81022Graffi, S.; Martinez, A.; Pulvirenti, M. 25 2003 The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error. Zbl 1372.35211Pulvirenti, M.; Simonella, S. 22 2017 On the weak-coupling limit for bosons and fermions. Zbl 1154.82314Benedetto, D.; Pulvirenti, M.; Castella, F.; Esposito, R. 22 2005 From particle systems to the Landau equation: a consistency result. Zbl 1273.35281Bobylev, A. V.; Pulvirenti, M.; Saffirio, C. 22 2013 Some considerations on the derivation of the nonlinear quantum Boltzmann equation. Zbl 1134.82030Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 21 2004 The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019Desvillettes, L.; Pulvirenti, M. 20 1999 The Vlasov equation with infinite mass. Zbl 1021.76059Caglioti, E.; Caprino, S.; Marchioro, C.; Pulvirenti, M. 20 2001 A note on the nonlinear stability of a spatially symmetric Vlasov-Poisson flow. Zbl 0609.35008Marchioro, C.; Pulvirenti, M. 18 1986 On the two-dimensional Vlasov-Helmholtz equation with infinite mass. Zbl 1007.35094Caprino, S.; Marchioro, C.; Pulvirenti, M. 18 2002 A stochastic system of particles modelling the Euler equations. Zbl 0682.76002Lachowicz, Miroslaw; Pulvirenti, Mario 17 1990 On the vortex flow in bounded domains. Zbl 0503.60069Duerr, D.; Pulvirenti, M. 17 1982 Mean-field limit and semiclassical expansion of a quantum particle system. Zbl 1207.81027Pezzotti, Federica; Pulvirenti, Mario 17 2009 On the Vlasov-Fokker-Planck equation. Zbl 0561.35070Neunzert, H.; Pulvirenti, M.; Triolo, L. 16 1984 Strong semiclassical approximation of Wigner functions for the Hartree dynamics. Zbl 1235.81100Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario 16 2011 Non-equilibrium dynamics of three-dimensional infinite particle systems. Zbl 1019.82010Caglioti, E.; Marchioro, C.; Pulvirenti, M. 15 2000 The Cauchy problem for the 3-D Vlasov-Poisson system with point charges. Zbl 1321.76081Marchioro, Carlo; Miot, Evelyne; Pulvirenti, Mario 15 2011 On the motion of a body in thermal equilibrium immersed in a perfect gas. Zbl 1133.76046Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario 14 2008 A derivation of the Broadwell equation. Zbl 0716.60119Caprino, S.; DeMasi, A.; Presutti, E.; Pulvirenti, M. 13 1991 From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime. Zbl 1148.82022Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 12 2008 Classical KMS condition and Tomita-Takesaki theory. Zbl 0323.28011Gallavotti, G.; Pulvirenti, M. 12 1976 On the one-dimensional Boltzmann equation for granular flows. Zbl 1044.82012Benedetto, Dario; Pulvirenti, Mario 12 2001 Planar Navier-Stokes flow for singular initial data. Zbl 0621.76027Benfatto, G.; Esposito, R.; Pulvirenti, M. 11 1985 Hydrodynamic limits of the Vlasov equation. Zbl 0787.35070Caprino, S.; Esposito, R.; Marra, R.; Pulvirenti, M. 11 1993 A cluster expansion approach to a one-dimensional Boltzmann equation: A validity result. Zbl 0811.60099Caprino, S.; Pulvirenti, M. 11 1995 Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum. Zbl 0665.76088Pulvirenti, M. 11 1987 On the invariant measures for the two-dimensional Euler flow. Zbl 0682.60106Benfatto, G.; Picco, P.; Pulvirenti, M. 11 1987 On nonlinear stationary half-space problems in discrete kinetic theory. Zbl 1084.82561Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario; Shinbrot, Marvin 11 1988 Selfadjointness of the Liouville operator for infinite classical systems. Zbl 0373.47024Marchioro, C.; Pellegrinotti, A.; Pulvirenti, M. 11 1978 Equilibria of a clamped Euler beam (Elastica) with distributed load: large deformations. Zbl 1368.74031Della Corte, Alessandro; dell’Isola, Francesco; Esposito, Raffaele; Pulvirenti, Mario 11 2017 A diffusion limit for a test particle in a random distribution of scatterers. Zbl 1296.82049Basile, G.; Nota, A.; Pulvirenti, M. 11 2014 Propagation of chaos for Burgers’ equation. Zbl 0526.60057Calderoni, P.; Pulvirenti, M. 10 1983 Modeling behavioral social systems. Zbl 1355.00017 10 2017 From particles to fluids. Zbl 1221.82080Espisto, Raffaele; Pulvirenti, Mario 10 2004 Derivation of the Fick’s law for the Lorentz model in a low density regime. Zbl 1320.82057Basile, G.; Nota, A.; Pezzotti, F.; Pulvirenti, M. 9 2015 DLR measures for one-dimensional harmonic systems. Zbl 0355.60063Benfatto, G.; Presutti, E.; Pulvirenti, M. 9 1978 Convergence of particle schemes for the Boltzmann equation. Zbl 0811.76081Pulvirenti, M.; Wagner, W.; Zavelani Rossi, M. B. 9 1994 On the size of chaos in the mean field dynamics. Zbl 1404.81117Paul, Thierry; Pulvirenti, Mario; Simonella, Sergio 9 2019 On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146Golse, François; Paul, Thierry; Pulvirenti, Mario 9 2018 On the attractive plasma-charge system in 2-d. Zbl 1263.82051Caprino, S.; Marchioro, C.; Miot, E.; Pulvirenti, M. 9 2012 The convergence of the SPH method. Zbl 0906.76065Di Lisio, R.; Grenier, E.; Pulvirenti, M. 8 1998 Erratum: A kinetic equation for granular media. Zbl 0972.74017Benedetto, Dario; Caglioti, Emanuele; Pulvirenti, Mario 8 1999 Stationary particle systems approximating stationary solutions to the Boltzmann equation. Zbl 0911.60081Caprino, S.; Pulvirenti, M.; Wagner, W. 8 1998 A short review on the derivation of the nonlinear quantum Boltzmann equations. Zbl 1138.82025Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 8 2007 A derivation of the BBGKY-hierarchy for hard sphere particle systems. Zbl 0629.76088Illner, Reinhard; Pulvirenti, Mario 7 1987 Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime. Zbl 1134.82029Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 7 2006 A hydrodynamic model arising in the context of granular media. Zbl 0946.76096Benedetto, D.; Caglioti, E.; Golse, F.; Pulvirenti, M. 7 1999 Particles for fluids: SPH versus vortex methods. Zbl 1315.35144Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario 7 2014 On the singularities of the Newtonian two dimensional N-body problem. Zbl 0551.70005Marchioro, Carlo; Pulvirenti, Mario 6 1983 From vortex layers to vortex sheets. Zbl 0749.76014Benedetto, D.; Pulvirenti, M. 6 1992 On the evolution of the empirical measure for the hard-sphere dynamics. Zbl 1322.82008Pulvirenti, M.; Simonella, S. 6 2015 Semiclassical expansion of Wigner functions. Zbl 1111.81067Pulvirenti, M. 6 2006 The weak-coupling limit of large classical and quantum systems. Zbl 1105.35129Pulvirenti, Mario 6 2006 The Boltzmann equation for a one-dimensional quantum Lorentz gas. Zbl 0940.35167Esposito, R.; Pulvirenti, M.; Teta, A. 6 1999 A stochastic Lagrangian picture for the three-dimensional Navier-Stokes equation. Zbl 0656.76035Esposito, R.; Marra, R.; Pulvirenti, M.; Sciarretta, C. 6 1988 Three-dimensional stochastic vortex flows. Zbl 0688.76030Esposito, R.; Pulvirenti, M. 6 1989 \(L^\infty\)-estimates for the Vlasov-Poisson-Fokker-Planck equation. Zbl 0957.35027Pulvirenti, M.; Simeoni, C. 6 2000 On the dynamics of infinite anharmonic systems. Zbl 0467.70018Marchioro, C.; Pellegrinotti, A.; Pulvirenti, M. 6 1981 Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Zbl 1314.35077Aoki, Kazuo; Pulvirenti, Mario; Simonella, Sergio; Tsuji, Tetsuro 6 2015 Generation of vorticity near the boundary in planar Navier-Stokes flows. Zbl 0591.76041Benfatto, G.; Pulvirenti, M. 5 1984 Convergence of Chorin-Marsden product formula in the half-plane. Zbl 0615.76032Benfatto, G.; Pulvirenti, M. 5 1986 On the time evolution of the states of infinitely extended particles systems. Zbl 0511.60096Pulvirenti, Mario 5 1982 Semiclassical propagation of coherent states for the Hartree equation. Zbl 1238.81140Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario 5 2011 On some large systems of random particles which approximate scalar conservation laws. Zbl 0846.35081Perthame, B.; Pulvirenti, M. 5 1995 The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state. Zbl 0852.76080Caprino, S.; Pulvirenti, M. 5 1996 On the vortex-wave system. Zbl 0733.76015Marchioro, Carlo; Pulvirenti, Mario 5 1991 A stochastic particle system modeling the Carleman equation. Zbl 0713.60108Caprino, S.; De Masi, A.; Presutti, E.; Pulvirenti, M. 4 1989 Derivation and classical limit of the mean-field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics. Zbl 0946.82500Angelescu, N.; Pulvirenti, M.; Teta, A. 4 1994 On a constrained 2-D Navier-Stokes equation. Zbl 1186.35135Caglioti, E.; Pulvirenti, M.; Rousset, F. 4 2009 On the Euler flow in \(\mathbb{R}^ 2\). Zbl 0784.76018Benedetto, D.; Marchioro, C.; Pulvirenti, M. 4 1993 A one dimensional Boltzmann equation with inelastic collisions. Zbl 1011.82019Benedetto, D.; Caglioti, E.; Pulvirenti, M. 4 1997 Probabilistic models for nonlinear partial differential equations. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo, Montecatini Terme, Italy, May 22-30, 1995. Zbl 0844.00022 3 1996 Derivation of a linear Boltzmann equation for a lattice gas. Zbl 1013.82012Caglioti, E.; Pulvirenti, M.; Ricci, V. 3 2000 On the regularization of the pressure field in compressible Euler equations. Zbl 0891.35123Di Lisio, R.; Grenier, E.; Pulvirenti, M. 3 1997 The classical limit for the Uehling-Uhlenbeck operator. Zbl 1214.82073Benedetto, D.; Pulvirenti, M. 3 2007 Time evolution of Gibbs states for an anharmonic lattice. Zbl 0432.60100Marchioro, C.; Pellegrinotti, A.; Pulvirenti, M.; Sukhov, Yu. 3 1979 A kinetic model for epidemic spread. Zbl 1452.92040Pulvirenti, Mario; Simonella, Sergio 3 2020 The 2D constrained Navier-Stokes equation and intermediate asymptotics. Zbl 1143.76022Caglioti, E.; Pulvirenti, M.; Rousset, F. 3 2008 A Kac model for fermions. Zbl 1323.35125Colangeli, Matteo; Pezzotti, Federica; Pulvirenti, Mario 3 2015 Asymptotic expansion of the mean-field approximation. Zbl 1412.35285Paul, Thierry; Pulvirenti, Mario 3 2019 Stability, equilibrium and KMS for an infinite classical system. Zbl 0376.46039Pulvirenti, M. 3 1977 A kinetic model for epidemic spread. Zbl 1452.92040Pulvirenti, Mario; Simonella, Sergio 3 2020 On the size of chaos in the mean field dynamics. Zbl 1404.81117Paul, Thierry; Pulvirenti, Mario; Simonella, Sergio 9 2019 Asymptotic expansion of the mean-field approximation. Zbl 1412.35285Paul, Thierry; Pulvirenti, Mario 3 2019 Propagation of chaos for topological interactions. Zbl 1456.60254Degond, P.; Pulvirenti, M. 1 2019 On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146Golse, François; Paul, Thierry; Pulvirenti, Mario 9 2018 The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error. Zbl 1372.35211Pulvirenti, M.; Simonella, S. 22 2017 Equilibria of a clamped Euler beam (Elastica) with distributed load: large deformations. Zbl 1368.74031Della Corte, Alessandro; dell’Isola, Francesco; Esposito, Raffaele; Pulvirenti, Mario 11 2017 Modeling behavioral social systems. Zbl 1355.00017 10 2017 Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003Pulvirenti, Mario; Simonella, Sergio 2 2016 Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials. Zbl 1352.37193Carcaterra, A.; Dell’Isola, F.; Esposito, R.; Pulvirenti, M. 40 2015 Derivation of the Fick’s law for the Lorentz model in a low density regime. Zbl 1320.82057Basile, G.; Nota, A.; Pezzotti, F.; Pulvirenti, M. 9 2015 On the evolution of the empirical measure for the hard-sphere dynamics. Zbl 1322.82008Pulvirenti, M.; Simonella, S. 6 2015 Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Zbl 1314.35077Aoki, Kazuo; Pulvirenti, Mario; Simonella, Sergio; Tsuji, Tetsuro 6 2015 A Kac model for fermions. Zbl 1323.35125Colangeli, Matteo; Pezzotti, Federica; Pulvirenti, Mario 3 2015 On the validity of the Boltzmann equation for short range potentials. Zbl 1296.82051Pulvirenti, M.; Saffirio, C.; Simonella, S. 39 2014 A diffusion limit for a test particle in a random distribution of scatterers. Zbl 1296.82049Basile, G.; Nota, A.; Pulvirenti, M. 11 2014 Particles for fluids: SPH versus vortex methods. Zbl 1315.35144Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario 7 2014 From particle systems to the Landau equation: a consistency result. Zbl 1273.35281Bobylev, A. V.; Pulvirenti, M.; Saffirio, C. 22 2013 On the attractive plasma-charge system in 2-d. Zbl 1263.82051Caprino, S.; Marchioro, C.; Miot, E.; Pulvirenti, M. 9 2012 Strong semiclassical approximation of Wigner functions for the Hartree dynamics. Zbl 1235.81100Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario 16 2011 The Cauchy problem for the 3-D Vlasov-Poisson system with point charges. Zbl 1321.76081Marchioro, Carlo; Miot, Evelyne; Pulvirenti, Mario 15 2011 Semiclassical propagation of coherent states for the Hartree equation. Zbl 1238.81140Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario 5 2011 On the Kac model for the Landau equation. Zbl 1210.35248Miot, Evelyne; Pulvirenti, Mario; Saffirio, Chiara 2 2011 Rigorous validity of the Boltzmann equation for a thin layer of a rarefied gas. Zbl 1425.76221Esposito, Raffaele; Pulvirenti, Mario 1 2010 Mean-field limit and semiclassical expansion of a quantum particle system. Zbl 1207.81027Pezzotti, Federica; Pulvirenti, Mario 17 2009 On a constrained 2-D Navier-Stokes equation. Zbl 1186.35135Caglioti, E.; Pulvirenti, M.; Rousset, F. 4 2009 On the motion of a body in thermal equilibrium immersed in a perfect gas. Zbl 1133.76046Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario 14 2008 From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime. Zbl 1148.82022Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 12 2008 The 2D constrained Navier-Stokes equation and intermediate asymptotics. Zbl 1143.76022Caglioti, E.; Pulvirenti, M.; Rousset, F. 3 2008 A short review on the derivation of the nonlinear quantum Boltzmann equations. Zbl 1138.82025Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 8 2007 The classical limit for the Uehling-Uhlenbeck operator. Zbl 1214.82073Benedetto, D.; Pulvirenti, M. 3 2007 Approach to equilibrium in a microscopic model of friction. Zbl 1113.82059Caprino, S.; Marchioro, C.; Pulvirenti, M. 25 2006 Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime. Zbl 1134.82029Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 7 2006 Semiclassical expansion of Wigner functions. Zbl 1111.81067Pulvirenti, M. 6 2006 The weak-coupling limit of large classical and quantum systems. Zbl 1105.35129Pulvirenti, Mario 6 2006 On the weak-coupling limit for bosons and fermions. Zbl 1154.82314Benedetto, D.; Pulvirenti, M.; Castella, F.; Esposito, R. 22 2005 Some considerations on the derivation of the nonlinear quantum Boltzmann equation. Zbl 1134.82030Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 21 2004 From particles to fluids. Zbl 1221.82080Espisto, Raffaele; Pulvirenti, Mario 10 2004 Hydrodynamic limits of a Vlasov-Fokker-Planck equation for granular media. Zbl 1087.82020Benedetto, Dario; Caglioti, Emanuele; Golse, François; Pulvirenti, Mario 2 2004 Asymptotic analysis of quantum scattering under mesoscopic scaling. Zbl 1130.81353Benedetto, D.; Esposito, R.; Pulvirenti, M. 1 2004 Mean-field approximation of quantum systems and classical limit. Zbl 1049.81022Graffi, S.; Martinez, A.; Pulvirenti, M. 25 2003 On the two-dimensional Vlasov-Helmholtz equation with infinite mass. Zbl 1007.35094Caprino, S.; Marchioro, C.; Pulvirenti, M. 18 2002 The Vlasov equation with infinite mass. Zbl 1021.76059Caglioti, E.; Caprino, S.; Marchioro, C.; Pulvirenti, M. 20 2001 On the one-dimensional Boltzmann equation for granular flows. Zbl 1044.82012Benedetto, Dario; Pulvirenti, Mario 12 2001 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048Bouchut, François; Golse, François; Pulvirenti, Mario 48 2000 Non-equilibrium dynamics of three-dimensional infinite particle systems. Zbl 1019.82010Caglioti, E.; Marchioro, C.; Pulvirenti, M. 15 2000 \(L^\infty\)-estimates for the Vlasov-Poisson-Fokker-Planck equation. Zbl 0957.35027Pulvirenti, M.; Simeoni, C. 6 2000 Derivation of a linear Boltzmann equation for a lattice gas. Zbl 1013.82012Caglioti, E.; Pulvirenti, M.; Ricci, V. 3 2000 Modeling in applied sciences. A kinetic theory approach. Zbl 0938.00011 2 2000 Generalized kinetic models in applied sciences. Zbl 0957.76075Bellomo, Nicola; Pulvirenti, Mario 2 2000 Collective behavior of one-dimensional granular media. Zbl 0965.76092Benedetto, D.; Caglioti, E.; Pulvirenti, M. 2 2000 The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019Desvillettes, L.; Pulvirenti, M. 20 1999 Erratum: A kinetic equation for granular media. Zbl 0972.74017Benedetto, Dario; Caglioti, Emanuele; Pulvirenti, Mario 8 1999 A hydrodynamic model arising in the context of granular media. Zbl 0946.76096Benedetto, D.; Caglioti, E.; Golse, F.; Pulvirenti, M. 7 1999 The Boltzmann equation for a one-dimensional quantum Lorentz gas. Zbl 0940.35167Esposito, R.; Pulvirenti, M.; Teta, A. 6 1999 Kinetic and hydrodynamical equations for one-dimensional granular media. Zbl 1103.74316Pulvirenti, M. 1 1999 A non-Maxwellian steady distribution for one-dimensional granular media. Zbl 0921.60057Benedetto, D.; Caglioti, E.; Carrillo, J. A.; Pulvirenti, M. 57 1998 The convergence of the SPH method. Zbl 0906.76065Di Lisio, R.; Grenier, E.; Pulvirenti, M. 8 1998 Stationary particle systems approximating stationary solutions to the Boltzmann equation. Zbl 0911.60081Caprino, S.; Pulvirenti, M.; Wagner, W. 8 1998 A kinetic equation for granular media. Zbl 0888.73006Benedetto, D.; Caglioti, E.; Pulvirenti, M. 68 1997 A one dimensional Boltzmann equation with inelastic collisions. Zbl 1011.82019Benedetto, D.; Caglioti, E.; Pulvirenti, M. 4 1997 On the regularization of the pressure field in compressible Euler equations. Zbl 0891.35123Di Lisio, R.; Grenier, E.; Pulvirenti, M. 3 1997 The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state. Zbl 0852.76080Caprino, S.; Pulvirenti, M. 5 1996 Probabilistic models for nonlinear partial differential equations. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo, Montecatini Terme, Italy, May 22-30, 1995. Zbl 0844.00022 3 1996 Kinetic limits for stochastic particle systems. Zbl 0872.60083Pulvirenti, Mario 2 1996 On the Enskog hierarchy: Analyticity, uniqueness and derivability by particle systems. Zbl 0878.60042Pulvirenti, M. 1 1996 A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II. Zbl 0840.76002Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M. 132 1995 A cluster expansion approach to a one-dimensional Boltzmann equation: A validity result. Zbl 0811.60099Caprino, S.; Pulvirenti, M. 11 1995 On some large systems of random particles which approximate scalar conservation laws. Zbl 0846.35081Perthame, B.; Pulvirenti, M. 5 1995 The 2-D incompressible Euler flow for singular initial conditions. Zbl 0832.35113Benedetto, D.; Marchioro, C.; Pulvirenti, M. 1 1995 The mathematical theory of dilute gases. Zbl 0813.76001Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario 505 1994 Mathematical theory of incompressible nonviscous fluids. Zbl 0789.76002Marchioro, Carlo; Pulvirenti, Mario 254 1994 Convergence of particle schemes for the Boltzmann equation. Zbl 0811.76081Pulvirenti, M.; Wagner, W.; Zavelani Rossi, M. B. 9 1994 Derivation and classical limit of the mean-field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics. Zbl 0946.82500Angelescu, N.; Pulvirenti, M.; Teta, A. 4 1994 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072Perthame, B.; Pulvirenti, M. 38 1993 Vortices and localization in Euler flows. Zbl 0774.35058Marchioro, Carlo; Pulvirenti, Mario 33 1993 Hydrodynamic limits of the Vlasov equation. Zbl 0787.35070Caprino, S.; Esposito, R.; Marra, R.; Pulvirenti, M. 11 1993 On the Euler flow in \(\mathbb{R}^ 2\). Zbl 0784.76018Benedetto, D.; Marchioro, C.; Pulvirenti, M. 4 1993 A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. Zbl 0745.76001Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M. 203 1992 From vortex layers to vortex sheets. Zbl 0749.76014Benedetto, D.; Pulvirenti, M. 6 1992 A derivation of the Broadwell equation. Zbl 0716.60119Caprino, S.; DeMasi, A.; Presutti, E.; Pulvirenti, M. 13 1991 On the vortex-wave system. Zbl 0733.76015Marchioro, Carlo; Pulvirenti, Mario 5 1991 A stochastic system of particles modelling the Euler equations. Zbl 0682.76002Lachowicz, Miroslaw; Pulvirenti, Mario 17 1990 Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result. Zbl 0850.76600Illner, R.; Pulvirenti, M. 29 1989 Three-dimensional stochastic vortex flows. Zbl 0688.76030Esposito, R.; Pulvirenti, M. 6 1989 A stochastic particle system modeling the Carleman equation. Zbl 0713.60108Caprino, S.; De Masi, A.; Presutti, E.; Pulvirenti, M. 4 1989 On invariant measures for the 2-D Euler flow. Zbl 0671.76078Pulvirenti, Mario 2 1989 On nonlinear stationary half-space problems in discrete kinetic theory. Zbl 1084.82561Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario; Shinbrot, Marvin 11 1988 A stochastic Lagrangian picture for the three-dimensional Navier-Stokes equation. Zbl 0656.76035Esposito, R.; Marra, R.; Pulvirenti, M.; Sciarretta, C. 6 1988 The Boltzmann equation for weakly inhomogeneous data. Zbl 0663.76080Arkeryd, L.; Esposito, R.; Pulvirenti, M. 29 1987 Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum. Zbl 0665.76088Pulvirenti, M. 11 1987 On the invariant measures for the two-dimensional Euler flow. Zbl 0682.60106Benfatto, G.; Picco, P.; Pulvirenti, M. 11 1987 A derivation of the BBGKY-hierarchy for hard sphere particle systems. Zbl 0629.76088Illner, Reinhard; Pulvirenti, Mario 7 1987 Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum. Zbl 0609.76083Illner, Reinhard; Pulvirenti, Mario 41 1986 A note on the nonlinear stability of a spatially symmetric Vlasov-Poisson flow. Zbl 0609.35008Marchioro, C.; Pulvirenti, M. 18 1986 Convergence of Chorin-Marsden product formula in the half-plane. Zbl 0615.76032Benfatto, G.; Pulvirenti, M. 5 1986 Nonlinear stability of circular vortex patches. Zbl 0584.76062Wan, Y. H.; Pulvirenti, M. 48 1985 Some considerations on the nonlinear stability of stationary planar Euler flows. Zbl 0625.76060Marchioro, C.; Pulvirenti, M. 25 1985 Planar Navier-Stokes flow for singular initial data. Zbl 0621.76027Benfatto, G.; Esposito, R.; Pulvirenti, M. 11 1985 On the statistical solutions of Vlasov-Poisson equations in two dimensions. Zbl 0604.76064Pulvirenti, M.; Wick, J. 1 1985 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,578 Authors 62 Pulvirenti, Mario 50 Marchioro, Carlo 39 Carrillo de la Plata, José Antonio 25 Yang, Tong 23 Bartolucci, Daniele 23 Zhang, Xianwen 21 Golse, François 20 Mouhot, Clément 17 Caprino, Silvia 17 Cavallaro, Guido 17 Pareschi, Lorenzo 17 Yun, Seok-Bae 16 Duan, Renjun 16 Toscani, Giuseppe 15 Esposito, Raffaele 15 Kiessling, Michael Karl-Heinz 15 Lin, Chang-Shou 14 Cercignani, Carlo 14 Ha, Seung-Yeal 14 Jevnikar, Aleks 13 Buttà, Paolo 13 Degond, Pierre 13 Flandoli, Franco 13 Lu, Xuguang 13 Nota, Alessia 13 Wennberg, Bernt 12 Bellomo, Nicola 12 Carlen, Eric Anders 12 Guo, Yan 12 Liu, Shuangqian 12 Paul, Thierry 12 Simonella, Sergio 12 Velázquez, Juan J. L. 12 Zhao, Huijiang 11 Briant, Marc 11 Caglioti, Emanuele 11 Cao, Daomin 11 Giorgio, Ivan 11 Illner, Reinhard 11 Pistoia, Angela 11 Saint-Raymond, Laure 11 Suzuki, Takashi 11 Wagner, Wolfgang 11 Yang, Wen 10 Arkeryd, Leif O. 10 Benedetto, Dario 10 Choi, Young-Pil 10 Desvillettes, Laurent 10 Jabin, Pierre-Emmanuel 10 Marra, Rossana 10 Mischler, Stéphane 10 Yu, Shih-Hsien 9 Dimarco, Giacomo 9 Huang, Feimin 9 Lemou, Mohammed 9 Perthame, Benoît 9 Presutti, Errico 9 Saffirio, Chiara 9 Turco, Emilio 9 Wei, Juncheng 8 Bardos, Claude Williams 8 Gallagher, Isabelle 8 Martínez Gamba, Irene 8 Gerasimenko, Viktor Ivanovich 8 Grossi, Massimo 8 Kim, Chanwoo 8 Lucia, Marcello 8 Miot, Evelyne 8 Natalini, Roberto 8 Nouri, Anne 8 Rjasanow, Sergej 8 Wei, Jinbo 7 Bartsch, Thomas J. 7 Bolley, François 7 Bouchet, Freddy 7 dell’Isola, Francesco 7 Kiselev, Alexander A. 7 Lachowicz, Mirosław 7 Masmoudi, Nader 7 Nussenzveig Lopes, Helena Judith 7 Placidi, Luca 7 Rousset, Frédéric 7 Strain, Robert M. 7 Tugaut, Julian 7 Vauchelet, Nicolas 7 Villani, Cédric 7 Yao, Yao 6 Albeverio, Sergio A. 6 Bobylev, Alexandre Vasiljévitch 6 Brenier, Yann 6 Castella, François 6 Chen, Zili 6 Crippa, Gianluca 6 De Masi, Anna 6 Del Pino, Manuel A. 6 Della Corte, Alessandro 6 Fontbona, Joaquin 6 Goodrich, Christopher S. 6 Hauray, Maxime 6 Jeong, In-Jee ...and 1,478 more Authors all top 5 Cited in 256 Serials 153 Journal of Statistical Physics 114 Archive for Rational Mechanics and Analysis 110 Communications in Mathematical Physics 91 Journal of Differential Equations 46 Kinetic and Related Models 44 Journal of Mathematical Physics 39 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 37 SIAM Journal on Mathematical Analysis 33 Journal of Mathematical Analysis and Applications 32 Communications in Partial Differential Equations 28 Communications on Pure and Applied Mathematics 28 Journal of Computational Physics 26 Mathematical Methods in the Applied Sciences 26 Transport Theory and Statistical Physics 25 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 Calculus of Variations and Partial Differential Equations 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Physica D 21 Discrete and Continuous Dynamical Systems 20 Journal of Functional Analysis 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Mathematics of Computation 16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Applied Mathematics Letters 16 Journal of Nonlinear Science 15 Computers & Mathematics with Applications 15 Journal of Mathematical Fluid Mechanics 14 Journal of Fluid Mechanics 13 The Annals of Applied Probability 13 Stochastic Processes and their Applications 12 Inventiones Mathematicae 12 Probability Theory and Related Fields 11 Physics of Fluids 11 Mathematics and Mechanics of Solids 10 Proceedings of the American Mathematical Society 10 Quarterly of Applied Mathematics 10 Mathematical and Computer Modelling 10 Nonlinear Analysis. Real World Applications 9 SIAM Journal on Applied Mathematics 9 European Journal of Mechanics. B. Fluids 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Annals of PDE 8 Advances in Mathematics 8 Transactions of the American Mathematical Society 7 Reports on Mathematical Physics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 SIAM Journal on Numerical Analysis 7 Bulletin of the American Mathematical Society. New Series 7 SIAM Journal on Scientific Computing 7 NoDEA. Nonlinear Differential Equations and Applications 7 Annales Henri Poincaré 7 Multiscale Modeling & Simulation 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 Nonlinear Analysis. Theory, Methods & Applications 7 Séminaire Laurent Schwartz. EDP et Applications 6 Computers and Fluids 6 Physica A 6 Reviews in Mathematical Physics 6 Applied Mathematics and Computation 6 Duke Mathematical Journal 6 Mathematische Annalen 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 Communications in Contemporary Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 The Annals of Probability 5 Stochastic Analysis and Applications 5 Acta Applicandae Mathematicae 5 Revista Matemática Iberoamericana 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 5 Advanced Nonlinear Studies 4 Journal d’Analyse Mathématique 4 Nonlinearity 4 Theoretical and Mathematical Physics 4 Journal of Scientific Computing 4 Journal of Dynamics and Differential Equations 4 Continuum Mechanics and Thermodynamics 4 Electronic Journal of Probability 4 Acta Mathematica Sinica. English Series 4 Living Reviews in Relativity 4 Journal of Evolution Equations 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Stochastics and Dynamics 4 Analysis and Applications (Singapore) 4 Journal of Hyperbolic Differential Equations 4 Journal of Statistical Mechanics: Theory and Experiment 4 Networks and Heterogeneous Media 4 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Modern Physics B 3 Applicable Analysis 3 Indiana University Mathematics Journal 3 Journal of Computational and Applied Mathematics 3 Journal of Soviet Mathematics 3 Meccanica 3 Proceedings of the Japan Academy. Series A 3 Chinese Annals of Mathematics. Series B 3 Journal of the American Mathematical Society 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Mathematical Sciences (New York) ...and 156 more Serials all top 5 Cited in 48 Fields 1,106 Partial differential equations (35-XX) 800 Fluid mechanics (76-XX) 672 Statistical mechanics, structure of matter (82-XX) 208 Probability theory and stochastic processes (60-XX) 143 Numerical analysis (65-XX) 84 Dynamical systems and ergodic theory (37-XX) 80 Mechanics of deformable solids (74-XX) 77 Quantum theory (81-XX) 73 Mechanics of particles and systems (70-XX) 69 Biology and other natural sciences (92-XX) 66 Integral equations (45-XX) 50 Global analysis, analysis on manifolds (58-XX) 47 Ordinary differential equations (34-XX) 46 Operator theory (47-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Optics, electromagnetic theory (78-XX) 22 Functional analysis (46-XX) 20 Differential geometry (53-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 Relativity and gravitational theory (83-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Geophysics (86-XX) 14 Real functions (26-XX) 14 Astronomy and astrophysics (85-XX) 11 Operations research, mathematical programming (90-XX) 9 Approximations and expansions (41-XX) 8 Measure and integration (28-XX) 7 Functions of a complex variable (30-XX) 7 Special functions (33-XX) 7 Systems theory; control (93-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 5 General and overarching topics; collections (00-XX) 5 Integral transforms, operational calculus (44-XX) 4 Several complex variables and analytic spaces (32-XX) 4 General topology (54-XX) 3 Algebraic geometry (14-XX) 3 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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