Edit Profile (opens in new tab) Pulvirenti, Mario Co-Author Distance Author ID: pulvirenti.mario Published as: Pulvirenti, M.; Pulvirenti, Mario External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 143 Publications since 1976, including 4 Books and 4 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 75 Co-Authors with 124 Joint Publications 2,409 Co-Co-Authors all top 5 Co-Authors 19 single-authored 25 Marchioro, Carlo 18 Benedetto, Dario 18 Esposito, Raffaele 15 Simonella, Sergio 14 Caglioti, Emanuele 10 Caprino, Silvia 7 Benfatto, Giuseppe 6 Paul, Thierry 5 Castella, François 5 Illner, Reinhard 5 Pezzotti, Federica 4 Golse, François 4 Pellegrinotti, Alessandro 3 Bellomo, Nicola 3 Buttà, Paolo 3 Cercignani, Carlo 3 Ciallella, Alessandro 3 Miot, Evelyne 3 Perthame, Benoît 3 Presutti, Errico 3 Saffirio, Chiara 3 Teta, Alessandro 2 Aoki, Kazuo 2 Athanassoulis, Agisillaos 2 Basile, Giada 2 De Masi, Anna 2 Degond, Pierre 2 dell’Isola, Francesco 2 Desvillettes, Laurent 2 Di Lisio, Roberto 2 Grenier, Emmanuel 2 He, Lingbing 2 Lions, Pierre-Louis 2 Lu, Xuguang 2 Marra, Rossana 2 Nota, Alessia 2 Rousset, Frédéric 1 Angelescu, Nicolae 1 Arkeryd, Leif O. 1 Bobylev, Alexandre Vasiljévitch 1 Bouchut, François 1 Brezzi, Franco 1 Calderoni, Paola 1 Carcaterra, Antonio 1 Carrillo de la Plata, José Antonio 1 Cavallaro, Guido 1 Colagrossi, Andrea 1 Colangeli, Matteo 1 Della Corte, Alessandro 1 Dürr, Detlef 1 Gallavotti, Giovanni M. 1 Graffi, Sandro 1 Graham, Carl 1 Graziani, Giorgio 1 Hauray, Maxime 1 Kurtz, Thomas Gordon 1 Lachowicz, Mirosław 1 Martinez, André 1 Méléard, Sylvie 1 Neunzert, Helmut 1 Picco, Pierre 1 Protter, Philip Elliott 1 Ricci, Valeria 1 Riela, G. 1 Rossi, Stefano 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. 1 Zhou, Yulong 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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Communications in Partial Differential Equations 4 Kinetic and Related Models 4 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 Series in Applied Mathematics (Paris) 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 77 Statistical mechanics, structure of matter (82-XX) 66 Fluid mechanics (76-XX) 58 Partial differential equations (35-XX) 29 Probability theory and stochastic processes (60-XX) 12 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) 4 Biology and other natural sciences (92-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 3,151 times in 2,143 Documents Cited by ▼ Year ▼ The mathematical theory of dilute gases. Zbl 0813.76001 Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario 622 1994 Mathematical theory of incompressible nonviscous fluids. Zbl 0789.76002 Marchioro, Carlo; Pulvirenti, Mario 333 1994 A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. Zbl 0745.76001 Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M. 237 1992 A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II. Zbl 0840.76002 Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M. 159 1995 A kinetic equation for granular media. Zbl 0888.73006 Benedetto, D.; Caglioti, E.; Pulvirenti, M. 77 1997 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048 Bouchut, François; Golse, François; Pulvirenti, Mario 73 2000 A non-Maxwellian steady distribution for one-dimensional granular media. Zbl 0921.60057 Benedetto, D.; Caglioti, E.; Carrillo, J. A.; Pulvirenti, M. 68 1998 Nonlinear stability of circular vortex patches. Zbl 0584.76062 Wan, Y. H.; Pulvirenti, M. 60 1985 Hydrodynamics in two dimensions and vortex theory. Zbl 0527.76021 Marchioro, C.; Pulvirenti, M. 57 1982 Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials. Zbl 1352.37193 Carcaterra, A.; Dell’Isola, F.; Esposito, R.; Pulvirenti, M. 56 2015 On the validity of the Boltzmann equation for short range potentials. Zbl 1296.82051 Pulvirenti, M.; Saffirio, C.; Simonella, S. 54 2014 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072 Perthame, B.; Pulvirenti, M. 49 1993 Vortex methods in two-dimensional fluid dynamics. Zbl 0545.76027 Marchioro, C.; Pulvirenti, M. 45 1984 Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum. Zbl 0609.76083 Illner, Reinhard; Pulvirenti, Mario 44 1986 Euler evolution for singular initial data and vortex theory. Zbl 0529.76023 Marchioro, C.; Pulvirenti, M. 41 1983 Vortices and localization in Euler flows. Zbl 0774.35058 Marchioro, Carlo; Pulvirenti, Mario 39 1993 Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result. Zbl 0850.76600 Illner, R.; Pulvirenti, M. 37 1989 The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error. Zbl 1372.35211 Pulvirenti, M.; Simonella, S. 34 2017 The Boltzmann equation for weakly inhomogeneous data. Zbl 0663.76080 Arkeryd, L.; Esposito, R.; Pulvirenti, M. 32 1987 Mean-field approximation of quantum systems and classical limit. Zbl 1049.81022 Graffi, S.; Martinez, A.; Pulvirenti, M. 30 2003 From particle systems to the Landau equation: a consistency result. Zbl 1273.35281 Bobylev, A. V.; Pulvirenti, M.; Saffirio, C. 29 2013 Some considerations on the nonlinear stability of stationary planar Euler flows. Zbl 0625.76060 Marchioro, C.; Pulvirenti, M. 28 1985 On the weak-coupling limit for bosons and fermions. Zbl 1154.82314 Benedetto, D.; Pulvirenti, M.; Castella, F.; Esposito, R. 27 2005 The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019 Desvillettes, L.; Pulvirenti, M. 26 1999 Approach to equilibrium in a microscopic model of friction. Zbl 1113.82059 Caprino, S.; Marchioro, C.; Pulvirenti, M. 25 2006 Some considerations on the derivation of the nonlinear quantum Boltzmann equation. Zbl 1134.82030 Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 24 2004 Strong semiclassical approximation of Wigner functions for the Hartree dynamics. Zbl 1235.81100 Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario 23 2011 On the vortex flow in bounded domains. Zbl 0503.60069 Duerr, D.; Pulvirenti, M. 22 1982 The Vlasov equation with infinite mass. Zbl 1021.76059 Caglioti, E.; Caprino, S.; Marchioro, C.; Pulvirenti, M. 21 2001 A note on the nonlinear stability of a spatially symmetric Vlasov-Poisson flow. Zbl 0609.35008 Marchioro, C.; Pulvirenti, M. 21 1986 A stochastic system of particles modelling the Euler equations. Zbl 0682.76002 Lachowicz, Miroslaw; Pulvirenti, Mario 19 1990 On the two-dimensional Vlasov-Helmholtz equation with infinite mass. Zbl 1007.35094 Caprino, S.; Marchioro, C.; Pulvirenti, M. 19 2002 Mean-field limit and semiclassical expansion of a quantum particle system. Zbl 1207.81027 Pezzotti, Federica; Pulvirenti, Mario 19 2009 From particles to fluids. Zbl 1221.82080 Espisto, Raffaele; Pulvirenti, Mario 18 2004 On the Vlasov-Fokker-Planck equation. Zbl 0561.35070 Neunzert, H.; Pulvirenti, M.; Triolo, L. 18 1984 On the vortex-wave system. Zbl 0733.76015 Marchioro, Carlo; Pulvirenti, Mario 18 1991 Equilibria of a clamped Euler beam (Elastica) with distributed load: large deformations. Zbl 1368.74031 Della Corte, Alessandro; dell’Isola, Francesco; Esposito, Raffaele; Pulvirenti, Mario 18 2017 The Cauchy problem for the 3-D Vlasov-Poisson system with point charges. Zbl 1321.76081 Marchioro, Carlo; Miot, Evelyne; Pulvirenti, Mario 18 2011 Non-equilibrium dynamics of three-dimensional infinite particle systems. Zbl 1019.82010 Caglioti, E.; Marchioro, C.; Pulvirenti, M. 17 2000 From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime. Zbl 1148.82022 Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 16 2008 On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146 Golse, François; Paul, Thierry; Pulvirenti, Mario 15 2018 A diffusion limit for a test particle in a random distribution of scatterers. Zbl 1296.82049 Basile, G.; Nota, A.; Pulvirenti, M. 15 2014 Modeling in applied sciences. A kinetic theory approach. Zbl 0938.00011 14 2000 On the motion of a body in thermal equilibrium immersed in a perfect gas. Zbl 1133.76046 Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario 14 2008 Hydrodynamic limits of the Vlasov equation. Zbl 0787.35070 Caprino, S.; Esposito, R.; Marra, R.; Pulvirenti, M. 13 1993 Convergence of particle schemes for the Boltzmann equation. Zbl 0811.76081 Pulvirenti, M.; Wagner, W.; Zavelani Rossi, M. B. 13 1994 Stationary particle systems approximating stationary solutions to the Boltzmann equation. Zbl 0911.60081 Caprino, S.; Pulvirenti, M.; Wagner, W. 13 1998 Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum. Zbl 0665.76088 Pulvirenti, M. 13 1987 On the invariant measures for the two-dimensional Euler flow. Zbl 0682.60106 Benfatto, G.; Picco, P.; Pulvirenti, M. 13 1987 Classical KMS condition and Tomita-Takesaki theory. Zbl 0323.28011 Gallavotti, G.; Pulvirenti, M. 13 1976 On the size of chaos in the mean field dynamics. Zbl 1404.81117 Paul, Thierry; Pulvirenti, Mario; Simonella, Sergio 13 2019 Propagation of chaos for Burgers’ equation. Zbl 0526.60057 Calderoni, P.; Pulvirenti, M. 13 1983 Modeling behavioral social systems. Zbl 1355.00017 13 2017 A derivation of the Broadwell equation. Zbl 0716.60119 Caprino, S.; DeMasi, A.; Presutti, E.; Pulvirenti, M. 13 1991 The convergence of the SPH method. Zbl 0906.76065 Di Lisio, R.; Grenier, E.; Pulvirenti, M. 12 1998 On the one-dimensional Boltzmann equation for granular flows. Zbl 1044.82012 Benedetto, Dario; Pulvirenti, Mario 12 2001 On nonlinear stationary half-space problems in discrete kinetic theory. Zbl 1084.82561 Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario; Shinbrot, Marvin 12 1988 A short review on the derivation of the nonlinear quantum Boltzmann equations. Zbl 1138.82025 Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 12 2007 Planar Navier-Stokes flow for singular initial data. Zbl 0621.76027 Benfatto, G.; Esposito, R.; Pulvirenti, M. 12 1985 On the attractive plasma-charge system in 2-d. Zbl 1263.82051 Caprino, S.; Marchioro, C.; Miot, E.; Pulvirenti, M. 12 2012 A cluster expansion approach to a one-dimensional Boltzmann equation: A validity result. Zbl 0811.60099 Caprino, S.; Pulvirenti, M. 11 1995 Selfadjointness of the Liouville operator for infinite classical systems. Zbl 0373.47024 Marchioro, C.; Pellegrinotti, A.; Pulvirenti, M. 11 1978 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 11 1996 Derivation of the Fick’s law for the Lorentz model in a low density regime. Zbl 1320.82057 Basile, G.; Nota, A.; Pezzotti, F.; Pulvirenti, M. 11 2015 Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime. Zbl 1134.82029 Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 10 2006 Erratum: A kinetic equation for granular media. Zbl 0972.74017 Benedetto, Dario; Caglioti, Emanuele; Pulvirenti, Mario 9 1999 DLR measures for one-dimensional harmonic systems. Zbl 0355.60063 Benfatto, G.; Presutti, E.; Pulvirenti, M. 9 1978 A derivation of the BBGKY-hierarchy for hard sphere particle systems. Zbl 0629.76088 Illner, Reinhard; Pulvirenti, Mario 9 1987 The weak-coupling limit of large classical and quantum systems. Zbl 1105.35129 Pulvirenti, Mario 8 2006 A hydrodynamic model arising in the context of granular media. Zbl 0946.76096 Benedetto, D.; Caglioti, E.; Golse, F.; Pulvirenti, M. 8 1999 \(L^\infty\)-estimates for the Vlasov-Poisson-Fokker-Planck equation. Zbl 0957.35027 Pulvirenti, M.; Simeoni, C. 8 2000 On the evolution of the empirical measure for the hard-sphere dynamics. Zbl 1322.82008 Pulvirenti, M.; Simonella, S. 8 2015 Particles for fluids: SPH versus vortex methods. Zbl 1315.35144 Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario 8 2014 On the Euler flow in \(\mathbb{R}^ 2\). Zbl 0784.76018 Benedetto, D.; Marchioro, C.; Pulvirenti, M. 7 1993 Semiclassical expansion of Wigner functions. Zbl 1111.81067 Pulvirenti, M. 7 2006 A kinetic model for epidemic spread. Zbl 1452.92040 Pulvirenti, Mario; Simonella, Sergio 7 2020 Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Zbl 1314.35077 Aoki, Kazuo; Pulvirenti, Mario; Simonella, Sergio; Tsuji, Tetsuro 7 2015 Asymptotic expansion of the mean-field approximation. Zbl 1412.35285 Paul, Thierry; Pulvirenti, Mario 6 2019 A stochastic Lagrangian picture for the three-dimensional Navier-Stokes equation. Zbl 0656.76035 Esposito, R.; Marra, R.; Pulvirenti, M.; Sciarretta, C. 6 1988 The Boltzmann equation for a one-dimensional quantum Lorentz gas. Zbl 0940.35167 Esposito, R.; Pulvirenti, M.; Teta, A. 6 1999 The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state. Zbl 0852.76080 Caprino, S.; Pulvirenti, M. 6 1996 Propagation of chaos for topological interactions. Zbl 1456.60254 Degond, P.; Pulvirenti, M. 6 2019 Generation of vorticity near the boundary in planar Navier-Stokes flows. Zbl 0591.76041 Benfatto, G.; Pulvirenti, M. 6 1984 On the time evolution of the states of infinitely extended particles systems. Zbl 0511.60096 Pulvirenti, Mario 6 1982 On the singularities of the Newtonian two dimensional N-body problem. Zbl 0551.70005 Marchioro, Carlo; Pulvirenti, Mario 6 1983 Three-dimensional stochastic vortex flows. Zbl 0688.76030 Esposito, R.; Pulvirenti, M. 6 1989 From vortex layers to vortex sheets. Zbl 0749.76014 Benedetto, D.; Pulvirenti, M. 6 1992 On the dynamics of infinite anharmonic systems. Zbl 0467.70018 Marchioro, C.; Pellegrinotti, A.; Pulvirenti, M. 6 1981 On some large systems of random particles which approximate scalar conservation laws. Zbl 0846.35081 Perthame, B.; Pulvirenti, M. 5 1995 Convergence of Chorin-Marsden product formula in the half-plane. Zbl 0615.76032 Benfatto, G.; Pulvirenti, M. 5 1986 Semiclassical propagation of coherent states for the Hartree equation. Zbl 1238.81140 Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario 5 2011 Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003 Pulvirenti, Mario; Simonella, Sergio 5 2016 Derivation of a linear Boltzmann equation for a lattice gas. Zbl 1013.82012 Caglioti, E.; Pulvirenti, M.; Ricci, V. 4 2000 Derivation and classical limit of the mean-field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics. Zbl 0946.82500 Angelescu, N.; Pulvirenti, M.; Teta, A. 4 1994 On the regularization of the pressure field in compressible Euler equations. Zbl 0891.35123 Di Lisio, R.; Grenier, E.; Pulvirenti, M. 4 1997 A one dimensional Boltzmann equation with inelastic collisions. Zbl 1011.82019 Benedetto, D.; Caglioti, E.; Pulvirenti, M. 4 1997 The classical limit for the Uehling-Uhlenbeck operator. Zbl 1214.82073 Benedetto, D.; Pulvirenti, M. 4 2007 Kinetic limits for stochastic particle systems. Zbl 0872.60083 Pulvirenti, Mario 4 1996 A Kac model for fermions. Zbl 1323.35125 Colangeli, Matteo; Pezzotti, Federica; Pulvirenti, Mario 4 2015 A stochastic particle system modeling the Carleman equation. Zbl 0713.60108 Caprino, S.; De Masi, A.; Presutti, E.; Pulvirenti, M. 4 1989 On semi-classical limit of spatially homogeneous quantum Boltzmann equation: weak convergence. Zbl 1469.82028 He, Ling-Bing; Lu, Xuguang; Pulvirenti, Mario 4 2021 Kinetic SIR equations and particle limits. Zbl 1528.82003 Ciallella, Alessandro; Pulvirenti, Mario; Simonella, Sergio 3 2021 Inhomogeneities in Boltzmann-SIR models. Zbl 1499.92002 Ciallella, Alessandro; Pulvirenti, Mario; Simonella, Sergio 1 2021 Particle approximation of the BGK equation. Zbl 1467.82070 Buttà, Paolo; Hauray, Maxime; Pulvirenti, Mario 1 2021 A kinetic model for epidemic spread. Zbl 1452.92040 Pulvirenti, Mario; Simonella, Sergio 7 2020 On the size of chaos in the mean field dynamics. Zbl 1404.81117 Paul, Thierry; Pulvirenti, Mario; Simonella, Sergio 13 2019 Asymptotic expansion of the mean-field approximation. Zbl 1412.35285 Paul, Thierry; Pulvirenti, Mario 6 2019 Propagation of chaos for topological interactions. Zbl 1456.60254 Degond, P.; Pulvirenti, M. 6 2019 On the derivation of the Hartree equation from the \(N\)-body Schrödinger equation: uniformity in the Planck constant. Zbl 1400.82146 Golse, François; Paul, Thierry; Pulvirenti, Mario 15 2018 Microscopic solutions of the Boltzmann-Enskog equation in the series representation. Zbl 1405.82015 Pulvirenti, Mario; Simonella, Sergio; Trushechkin, Anton 1 2018 The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error. Zbl 1372.35211 Pulvirenti, M.; Simonella, S. 34 2017 Equilibria of a clamped Euler beam (Elastica) with distributed load: large deformations. Zbl 1368.74031 Della Corte, Alessandro; dell’Isola, Francesco; Esposito, Raffaele; Pulvirenti, Mario 18 2017 Modeling behavioral social systems. Zbl 1355.00017 13 2017 Propagation of chaos and effective equations in kinetic theory: a brief survey. Zbl 1357.82003 Pulvirenti, Mario; Simonella, Sergio 5 2016 Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials. Zbl 1352.37193 Carcaterra, A.; Dell’Isola, F.; Esposito, R.; Pulvirenti, M. 56 2015 Derivation of the Fick’s law for the Lorentz model in a low density regime. Zbl 1320.82057 Basile, G.; Nota, A.; Pezzotti, F.; Pulvirenti, M. 11 2015 On the evolution of the empirical measure for the hard-sphere dynamics. Zbl 1322.82008 Pulvirenti, M.; Simonella, S. 8 2015 Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Zbl 1314.35077 Aoki, Kazuo; Pulvirenti, Mario; Simonella, Sergio; Tsuji, Tetsuro 7 2015 A Kac model for fermions. Zbl 1323.35125 Colangeli, Matteo; Pezzotti, Federica; Pulvirenti, Mario 4 2015 On the validity of the Boltzmann equation for short range potentials. Zbl 1296.82051 Pulvirenti, M.; Saffirio, C.; Simonella, S. 54 2014 A diffusion limit for a test particle in a random distribution of scatterers. Zbl 1296.82049 Basile, G.; Nota, A.; Pulvirenti, M. 15 2014 Particles for fluids: SPH versus vortex methods. Zbl 1315.35144 Colagrossi, Andrea; Graziani, Giorgio; Pulvirenti, Mario 8 2014 From particle systems to the Landau equation: a consistency result. Zbl 1273.35281 Bobylev, A. V.; Pulvirenti, M.; Saffirio, C. 29 2013 On the attractive plasma-charge system in 2-d. Zbl 1263.82051 Caprino, S.; Marchioro, C.; Miot, E.; Pulvirenti, M. 12 2012 Strong semiclassical approximation of Wigner functions for the Hartree dynamics. Zbl 1235.81100 Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario 23 2011 The Cauchy problem for the 3-D Vlasov-Poisson system with point charges. Zbl 1321.76081 Marchioro, Carlo; Miot, Evelyne; Pulvirenti, Mario 18 2011 Semiclassical propagation of coherent states for the Hartree equation. Zbl 1238.81140 Athanassoulis, Agissilaos; Paul, Thierry; Pezzotti, Federica; Pulvirenti, Mario 5 2011 On the Kac model for the Landau equation. Zbl 1210.35248 Miot, Evelyne; Pulvirenti, Mario; Saffirio, Chiara 2 2011 Rigorous validity of the Boltzmann equation for a thin layer of a rarefied gas. Zbl 1425.76221 Esposito, Raffaele; Pulvirenti, Mario 1 2010 Mean-field limit and semiclassical expansion of a quantum particle system. Zbl 1207.81027 Pezzotti, Federica; Pulvirenti, Mario 19 2009 On a constrained 2-D Navier-Stokes equation. Zbl 1186.35135 Caglioti, E.; Pulvirenti, M.; Rousset, F. 4 2009 From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling regime. Zbl 1148.82022 Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 16 2008 On the motion of a body in thermal equilibrium immersed in a perfect gas. Zbl 1133.76046 Aoki, Kazuo; Cavallaro, Guido; Marchioro, Carlo; Pulvirenti, Mario 14 2008 The 2D constrained Navier-Stokes equation and intermediate asymptotics. Zbl 1143.76022 Caglioti, E.; Pulvirenti, M.; Rousset, F. 3 2008 A short review on the derivation of the nonlinear quantum Boltzmann equations. Zbl 1138.82025 Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 12 2007 The classical limit for the Uehling-Uhlenbeck operator. Zbl 1214.82073 Benedetto, D.; Pulvirenti, M. 4 2007 Approach to equilibrium in a microscopic model of friction. Zbl 1113.82059 Caprino, S.; Marchioro, C.; Pulvirenti, M. 25 2006 Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime. Zbl 1134.82029 Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 10 2006 The weak-coupling limit of large classical and quantum systems. Zbl 1105.35129 Pulvirenti, Mario 8 2006 Semiclassical expansion of Wigner functions. Zbl 1111.81067 Pulvirenti, M. 7 2006 On the weak-coupling limit for bosons and fermions. Zbl 1154.82314 Benedetto, D.; Pulvirenti, M.; Castella, F.; Esposito, R. 27 2005 Some considerations on the derivation of the nonlinear quantum Boltzmann equation. Zbl 1134.82030 Benedetto, D.; Castella, F.; Esposito, R.; Pulvirenti, M. 24 2004 From particles to fluids. Zbl 1221.82080 Espisto, Raffaele; Pulvirenti, Mario 18 2004 Hydrodynamic limits of a Vlasov-Fokker-Planck equation for granular media. Zbl 1087.82020 Benedetto, Dario; Caglioti, Emanuele; Golse, François; Pulvirenti, Mario 3 2004 Asymptotic analysis of quantum scattering under mesoscopic scaling. Zbl 1130.81353 Benedetto, D.; Esposito, R.; Pulvirenti, M. 1 2004 Hilbert’s sixth problem and modern kinetic theories. Zbl 1182.82012 Pulvirenti, Mario 1 2004 Mean-field approximation of quantum systems and classical limit. Zbl 1049.81022 Graffi, S.; Martinez, A.; Pulvirenti, M. 30 2003 On the two-dimensional Vlasov-Helmholtz equation with infinite mass. Zbl 1007.35094 Caprino, S.; Marchioro, C.; Pulvirenti, M. 19 2002 The Vlasov equation with infinite mass. Zbl 1021.76059 Caglioti, E.; Caprino, S.; Marchioro, C.; Pulvirenti, M. 21 2001 On the one-dimensional Boltzmann equation for granular flows. Zbl 1044.82012 Benedetto, Dario; Pulvirenti, Mario 12 2001 Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048 Bouchut, François; Golse, François; Pulvirenti, Mario 73 2000 Non-equilibrium dynamics of three-dimensional infinite particle systems. Zbl 1019.82010 Caglioti, E.; Marchioro, C.; Pulvirenti, M. 17 2000 Modeling in applied sciences. A kinetic theory approach. Zbl 0938.00011 14 2000 \(L^\infty\)-estimates for the Vlasov-Poisson-Fokker-Planck equation. Zbl 0957.35027 Pulvirenti, M.; Simeoni, C. 8 2000 Derivation of a linear Boltzmann equation for a lattice gas. Zbl 1013.82012 Caglioti, E.; Pulvirenti, M.; Ricci, V. 4 2000 Generalized kinetic models in applied sciences. Zbl 0957.76075 Bellomo, Nicola; Pulvirenti, Mario 3 2000 Collective behavior of one-dimensional granular media. Zbl 0965.76092 Benedetto, D.; Caglioti, E.; Pulvirenti, M. 2 2000 The linear Boltzmann equation for long-range forces: A derivation from particle systems. Zbl 1010.82019 Desvillettes, L.; Pulvirenti, M. 26 1999 Erratum: A kinetic equation for granular media. Zbl 0972.74017 Benedetto, Dario; Caglioti, Emanuele; Pulvirenti, Mario 9 1999 A hydrodynamic model arising in the context of granular media. Zbl 0946.76096 Benedetto, D.; Caglioti, E.; Golse, F.; Pulvirenti, M. 8 1999 The Boltzmann equation for a one-dimensional quantum Lorentz gas. Zbl 0940.35167 Esposito, R.; Pulvirenti, M.; Teta, A. 6 1999 Kinetic and hydrodynamical equations for one-dimensional granular media. Zbl 1103.74316 Pulvirenti, M. 1 1999 A non-Maxwellian steady distribution for one-dimensional granular media. Zbl 0921.60057 Benedetto, D.; Caglioti, E.; Carrillo, J. A.; Pulvirenti, M. 68 1998 Stationary particle systems approximating stationary solutions to the Boltzmann equation. Zbl 0911.60081 Caprino, S.; Pulvirenti, M.; Wagner, W. 13 1998 The convergence of the SPH method. Zbl 0906.76065 Di Lisio, R.; Grenier, E.; Pulvirenti, M. 12 1998 A kinetic equation for granular media. Zbl 0888.73006 Benedetto, D.; Caglioti, E.; Pulvirenti, M. 77 1997 On the regularization of the pressure field in compressible Euler equations. Zbl 0891.35123 Di Lisio, R.; Grenier, E.; Pulvirenti, M. 4 1997 A one dimensional Boltzmann equation with inelastic collisions. Zbl 1011.82019 Benedetto, 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 11 1996 The Boltzmann-Grad limit for a one-dimensional Boltzmann equation in a stationary state. Zbl 0852.76080 Caprino, S.; Pulvirenti, M. 6 1996 Kinetic limits for stochastic particle systems. Zbl 0872.60083 Pulvirenti, Mario 4 1996 On the Enskog hierarchy: Analyticity, uniqueness and derivability by particle systems. Zbl 0878.60042 Pulvirenti, M. 1 1996 A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II. Zbl 0840.76002 Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M. 159 1995 A cluster expansion approach to a one-dimensional Boltzmann equation: A validity result. Zbl 0811.60099 Caprino, S.; Pulvirenti, M. 11 1995 On some large systems of random particles which approximate scalar conservation laws. Zbl 0846.35081 Perthame, B.; Pulvirenti, M. 5 1995 The 2-D incompressible Euler flow for singular initial conditions. Zbl 0832.35113 Benedetto, D.; Marchioro, C.; Pulvirenti, M. 1 1995 The mathematical theory of dilute gases. Zbl 0813.76001 Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario 622 1994 Mathematical theory of incompressible nonviscous fluids. Zbl 0789.76002 Marchioro, Carlo; Pulvirenti, Mario 333 1994 Convergence of particle schemes for the Boltzmann equation. Zbl 0811.76081 Pulvirenti, M.; Wagner, W.; Zavelani Rossi, M. B. 13 1994 Derivation and classical limit of the mean-field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics. Zbl 0946.82500 Angelescu, N.; Pulvirenti, M.; Teta, A. 4 1994 Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model. Zbl 0786.76072 Perthame, B.; Pulvirenti, M. 49 1993 Vortices and localization in Euler flows. Zbl 0774.35058 Marchioro, Carlo; Pulvirenti, Mario 39 1993 Hydrodynamic limits of the Vlasov equation. Zbl 0787.35070 Caprino, S.; Esposito, R.; Marra, R.; Pulvirenti, M. 13 1993 On the Euler flow in \(\mathbb{R}^ 2\). Zbl 0784.76018 Benedetto, D.; Marchioro, C.; Pulvirenti, M. 7 1993 A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. Zbl 0745.76001 Caglioti, E.; Lions, P. L.; Marchioro, C.; Pulvirenti, M. 237 1992 From vortex layers to vortex sheets. Zbl 0749.76014 Benedetto, D.; Pulvirenti, M. 6 1992 On the vortex-wave system. Zbl 0733.76015 Marchioro, Carlo; Pulvirenti, Mario 18 1991 A derivation of the Broadwell equation. Zbl 0716.60119 Caprino, S.; DeMasi, A.; Presutti, E.; Pulvirenti, M. 13 1991 A stochastic system of particles modelling the Euler equations. Zbl 0682.76002 Lachowicz, Miroslaw; Pulvirenti, Mario 19 1990 Global validity of the Boltzmann equation for two-and three-dimensional rare gas in vacuum: Erratum and improved result. Zbl 0850.76600 Illner, R.; Pulvirenti, M. 37 1989 Three-dimensional stochastic vortex flows. Zbl 0688.76030 Esposito, R.; Pulvirenti, M. 6 1989 A stochastic particle system modeling the Carleman equation. Zbl 0713.60108 Caprino, S.; De Masi, A.; Presutti, E.; Pulvirenti, M. 4 1989 On invariant measures for the 2-D Euler flow. Zbl 0671.76078 Pulvirenti, Mario 2 1989 On nonlinear stationary half-space problems in discrete kinetic theory. Zbl 1084.82561 Cercignani, Carlo; Illner, Reinhard; Pulvirenti, Mario; Shinbrot, Marvin 12 1988 A stochastic Lagrangian picture for the three-dimensional Navier-Stokes equation. Zbl 0656.76035 Esposito, R.; Marra, R.; Pulvirenti, M.; Sciarretta, C. 6 1988 The Boltzmann equation for weakly inhomogeneous data. Zbl 0663.76080 Arkeryd, L.; Esposito, R.; Pulvirenti, M. 32 1987 Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum. Zbl 0665.76088 Pulvirenti, M. 13 1987 On the invariant measures for the two-dimensional Euler flow. Zbl 0682.60106 Benfatto, G.; Picco, P.; Pulvirenti, M. 13 1987 A derivation of the BBGKY-hierarchy for hard sphere particle systems. Zbl 0629.76088 Illner, Reinhard; Pulvirenti, Mario 9 1987 Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum. Zbl 0609.76083 Illner, Reinhard; Pulvirenti, Mario 44 1986 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,943 Authors 66 Pulvirenti, Mario 51 Marchioro, Carlo 41 Carrillo de la Plata, José Antonio 28 Yang, Tong 26 Bartolucci, Daniele 25 Pareschi, Lorenzo 24 Golse, François 24 Zhang, Xianwen 22 Guo, Yan 22 Yun, Seok-Bae 21 Cao, Daomin 21 Mouhot, Clément 21 Simonella, Sergio 20 Toscani, Giuseppe 19 Cavallaro, Guido 19 Duan, Renjun 19 Saint-Raymond, Laure 18 Degond, Pierre 18 Flandoli, Franco 17 Caprino, Silvia 17 Nota, Alessia 16 Buttà, Paolo 16 Esposito, Raffaele 16 Jevnikar, Aleks Yang Wen 16 Kiessling, Michael Karl-Heinz 16 Lin, Chang-Shou 15 Cercignani, Carlo 15 Giorgio, Ivan 15 Ha, Seung-Yeal 15 Liu, Shuangqian 15 Wennberg, Bernt 14 Bellomo, Nicola 14 Carlen, Eric Anders 14 Gallagher, Isabelle 14 Lu, Xuguang 14 Turco, Emilio 14 Velázquez, Juan J. L. 13 Briant, Marc 13 Caglioti, Emanuele 13 Paul, Thierry 13 Saffirio, Chiara 12 Benedetto, Dario 12 Choi, Young-Pil 12 Dimarco, Giacomo 12 Yang, Wen 12 Zhao, Huijiang 11 Bodineau, Thierry 11 Desvillettes, Laurent 11 Illner, Reinhard 11 Jabin, Pierre-Emmanuel 11 Kim, Chanwoo 11 Marra, Rossana 11 Miot, Evelyne 11 Pistoia, Angela 11 Suzuki, Takashi 11 Wagner, Wolfgang 11 Wang, Guodong 11 Wei, Juncheng 10 Arkeryd, Leif O. 10 Bardos, Claude Williams 10 Berman, Robert J. 10 Jeong, In-Jee 10 Mischler, Stéphane 10 Perthame, Benoît 10 Rey, Thomas 10 Yu, Shih-Hsien 9 Gerasimenko, Viktor Ivanovich 9 Grotto, Francesco 9 Huang, Feimin 9 Klar, Axel 9 Lacave, Christophe 9 Lemou, Mohammed 9 Merino-Aceituno, Sara 9 Natalini, Roberto 9 Presutti, Errico 9 Serfaty, Sylvia 9 Wan, Jie 9 Zhang, Lei 9 Zhong, Mingying 8 Barchiesi, Emilio 8 Cazzani, Antonio M. 8 Choi, Kyudong 8 dell’Isola, Francesco 8 Martínez Gamba, Irene 8 Grossi, Massimo 8 Jiang, Ning 8 Jin, Shi 8 Lachowicz, Mirosław 8 Lee, Ho 8 Lucia, Marcello 8 Masmoudi, Nader 8 Nouri, Anne 8 Placidi, Luca 8 Ricciardi, Tonia 8 Rjasanow, Sergej 8 Sueur, Franck 8 Titi, Edriss Saleh 8 Wei, Jinbo 8 Winter, Raphael 8 Wu, Lei ...and 1,843 more Authors all top 5 Cited in 292 Serials 168 Journal of Statistical Physics 123 Archive for Rational Mechanics and Analysis 115 Communications in Mathematical Physics 105 Journal of Differential Equations 61 Kinetic and Related Models 57 Journal of Mathematical Physics 49 SIAM Journal on Mathematical Analysis 45 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 42 Journal of Computational Physics 38 Journal of Mathematical Analysis and Applications 33 Communications in Partial Differential Equations 31 Communications on Pure and Applied Mathematics 27 Mathematical Methods in the Applied Sciences 27 ZAMP. Zeitschrift für angewandte Mathematik und Physik 27 Calculus of Variations and Partial Differential Equations 26 Transport Theory and Statistical Physics 26 Journal of Functional Analysis 26 Physica D 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Discrete and Continuous Dynamical Systems 20 Journal of Nonlinear Science 18 Applied Mathematics Letters 18 Mathematical and Computer Modelling 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Stochastic Processes and their Applications 17 Journal of Mathematical Fluid Mechanics 16 Computers & Mathematics with Applications 16 Physica A 16 Mathematics of Computation 16 Mathematics and Mechanics of Solids 15 Journal of Fluid Mechanics 15 Probability Theory and Related Fields 14 Inventiones Mathematicae 14 The Annals of Applied Probability 13 Nonlinearity 12 Transactions of the American Mathematical Society 12 Nonlinear Analysis. Real World Applications 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Proceedings of the American Mathematical Society 11 Quarterly of Applied Mathematics 11 Physics of Fluids 11 Annals of PDE 10 Mathematische Annalen 10 SIAM Journal on Applied Mathematics 9 Advances in Mathematics 9 SIAM Journal on Numerical Analysis 9 European Journal of Mechanics. B. 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Nonlinear Differential Equations and Applications 7 Electronic Journal of Probability 6 Computers and Fluids 6 Reviews in Mathematical Physics 6 The Annals of Probability 6 Applied Mathematics and Computation 6 Duke Mathematical Journal 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Acta Applicandae Mathematicae 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Stochastics and Dynamics 6 Journal of Hyperbolic Differential Equations 5 Computer Physics Communications 5 Stochastic Analysis and Applications 5 Journal of Scientific Computing 5 Continuum Mechanics and Thermodynamics 5 Journal of Mathematical Sciences (New York) 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Discrete and Continuous Dynamical Systems. Series B 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Advanced Nonlinear Studies 5 Analysis and Applications (Singapore) 5 Oberwolfach Reports 5 Networks and Heterogeneous Media 5 Science China. Mathematics 4 International Journal of Modern Physics B 4 Applicable Analysis 4 Journal d’Analyse Mathématique 4 Theoretical and Mathematical Physics 4 Bulletin of Mathematical Biology 4 Asymptotic Analysis 4 Japan Journal of Industrial and Applied Mathematics 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of Dynamics and Differential Equations 4 Acta Mathematica Sinica. English Series ...and 192 more Serials all top 5 Cited in 50 Fields 1,372 Partial differential equations (35-XX) 972 Fluid mechanics (76-XX) 810 Statistical mechanics, structure of matter (82-XX) 260 Probability theory and stochastic processes (60-XX) 180 Numerical analysis (65-XX) 101 Mechanics of deformable solids (74-XX) 101 Quantum theory (81-XX) 98 Dynamical systems and ergodic theory (37-XX) 96 Biology and other natural sciences (92-XX) 85 Mechanics of particles and systems (70-XX) 74 Integral equations (45-XX) 57 Operator theory (47-XX) 54 Global analysis, analysis on manifolds (58-XX) 52 Ordinary differential equations (34-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Optics, electromagnetic theory (78-XX) 26 Functional analysis (46-XX) 24 Differential geometry (53-XX) 23 Classical thermodynamics, heat transfer (80-XX) 22 Geophysics (86-XX) 21 Relativity and gravitational theory (83-XX) 18 Real functions (26-XX) 18 Operations research, mathematical programming (90-XX) 15 Astronomy and astrophysics (85-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Systems theory; control (93-XX) 11 Measure and integration (28-XX) 10 Approximations and expansions (41-XX) 10 Statistics (62-XX) 9 Functions of a complex variable (30-XX) 9 Computer science (68-XX) 8 General and overarching topics; collections (00-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Integral transforms, operational calculus (44-XX) 5 History and biography (01-XX) 5 Algebraic geometry (14-XX) 5 Potential theory (31-XX) 5 Special functions (33-XX) 5 General topology (54-XX) 4 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-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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