Edit Profile DiPerna, Ronald J. Compute Distance To: Compute Author ID: diperna.ronald-j Published as: Di Perna, R.-J.; Di Perna, Ronald; Di Perna, Ronald J.; DiPerna, R. J.; DiPerna, Ronald; DiPerna, Ronald J.; Diperna, R. J.; Diperna, Ronald J. External Links: MGP · Wikidata Documents Indexed: 50 Publications since 1973 Co-Authors 34 single-authored 11 Lions, Pierre-Louis 4 Majda, Andrew J. 1 Dafermos, Constantine M. 1 Meyer, Yves F. all top 5 Serials 6 Archive for Rational Mechanics and Analysis 4 Communications in Mathematical Physics 4 Communications on Pure and Applied Mathematics 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Inventiones Mathematicae 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of the American Mathematical Society 1 Annals of Mathematics. Second Series all top 5 Fields 43 Partial differential equations (35-XX) 19 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functional analysis (46-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 2,823 times in 2,229 Documents Cited by ▼ Year ▼ Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049DiPerna, R. J.; Lions, P. L. 723 1989 On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010DiPerna, R. J.; Lions, P. L. 449 1989 Convergence of approximate solutions to conservation laws. Zbl 0519.35054DiPerna, R. J. 228 1983 Measure-valued solutions to conservation laws. Zbl 0616.35055Diperna, Ronald J. 193 1985 Convergence of the viscosity method for isentropic gas dynamics. Zbl 0533.76071DiPerna, Ronald J. 169 1983 Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059DiPerna, Ronald J.; Majda, Andrew J. 167 1987 Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128DiPerna, R. J.; Lions, P. L. 145 1989 Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730Diperna, Ronald J.; Majda, Andrew J. 100 1987 Uniqueness of solutions to hyperbolic conservation laws. Zbl 0409.35057Diperna, Ronald J. 100 1979 \(L^ p\) regularity of velocity averages. Zbl 0763.35014DiPerna, R. J.; Lions, P. L.; Meyer, Y. 79 1991 On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068DiPerna, R. J.; Lions, P. L. 61 1988 Compensated compactness and general systems of conservation laws. Zbl 0606.35052Di Perna, Ronald J. 42 1985 Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026DiPerna, Ronald J.; Majda, Andrew 40 1988 Global solutions of Boltzmann’s equation and the entropy inequality. Zbl 0724.45011DiPerna, R. J.; Lions, P. L. 39 1991 Solutions globals d’équations du type Vlasov-Poisson. (Global solutions of Vlasov-Poisson type equations). Zbl 0682.35022DiPerna, Ronald; Lions, Pierre-Louis 34 1988 Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0256.35053Diperna, Ronald J. 32 1973 Global existence of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0314.58010DiPerna, Ronald J. 31 1976 The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050Dafermos, C. M.; DiPerna, R. J. 28 1976 The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081Di Perna, Ronald J.; Majda, Andrew 26 1985 Singularities of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 0324.35062DiPerna, Ronald J. 26 1975 Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0309.35050DiPerna, Ronald J. 24 1975 Existence in the large for quasilinear hyperbolic conservation laws. Zbl 0268.35066DiPerna, Ronald J. 21 1973 Global weak solutions of kinetic equations. Zbl 0813.35087DiPerna, R. J.; Lions, Pierre-Louis 16 1988 Decay of solutions of hyperbolic systems of conservation laws with a convex extension. Zbl 0348.35071DiPerna, Ronald J. 11 1977 Équations différentielles ordinaires et équations de transport avec des coefficients irréguliers. (Errata ci-joint). (Ordinary differential equations and transport equations with irregular coefficients. (Errata enclosed)). Zbl 0708.34014DiPerna, R. J.; Lions, P. L. 10 1989 Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0662.35016Di Perna, Ronald; Lions, Pierre-Louis 10 1988 The structure of solutions to hyperbolic conservation laws. Zbl 0434.35061DiPerna, R. J. 4 1979 Degenerate systems of conservation laws. Zbl 0595.35076Diperna, R. J. 3 1985 Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0666.35059Di Perna, R.-J.; Lions, P.-L. 2 1988 Conservation laws and compensated compactness. Zbl 0555.35087DiPerna, Ronald J. 2 1984 Convergence of approximate solutions to conservation laws. Zbl 0491.76011DiPerna, R. J. 2 1982 Entropy and the uniqueness of solutions to hyperbolic conservation laws. Zbl 0469.35064DiPerna, R. J. 2 1978 Singularities and oscillations in solutions to conservation laws. Zbl 0585.35064DiPerna, Ronald J. 1 1984 Generalized solutions to conservation laws. Zbl 0542.35048DiPerna, Ronald J. 1 1983 Finite difference schemes for conservation laws. Zbl 0494.65054DiPerna, Ronald J. 1 1982 Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0243.35068DiPerna, Ronald 1 1973 \(L^ p\) regularity of velocity averages. Zbl 0763.35014DiPerna, R. J.; Lions, P. L.; Meyer, Y. 79 1991 Global solutions of Boltzmann’s equation and the entropy inequality. Zbl 0724.45011DiPerna, R. J.; Lions, P. L. 39 1991 Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049DiPerna, R. J.; Lions, P. L. 723 1989 On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010DiPerna, R. J.; Lions, P. L. 449 1989 Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128DiPerna, R. J.; Lions, P. L. 145 1989 Équations différentielles ordinaires et équations de transport avec des coefficients irréguliers. (Errata ci-joint). (Ordinary differential equations and transport equations with irregular coefficients. (Errata enclosed)). Zbl 0708.34014DiPerna, R. J.; Lions, P. L. 10 1989 On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068DiPerna, R. J.; Lions, P. L. 61 1988 Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026DiPerna, Ronald J.; Majda, Andrew 40 1988 Solutions globals d’équations du type Vlasov-Poisson. (Global solutions of Vlasov-Poisson type equations). Zbl 0682.35022DiPerna, Ronald; Lions, Pierre-Louis 34 1988 Global weak solutions of kinetic equations. Zbl 0813.35087DiPerna, R. J.; Lions, Pierre-Louis 16 1988 Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0662.35016Di Perna, Ronald; Lions, Pierre-Louis 10 1988 Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0666.35059Di Perna, R.-J.; Lions, P.-L. 2 1988 Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059DiPerna, Ronald J.; Majda, Andrew J. 167 1987 Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730Diperna, Ronald J.; Majda, Andrew J. 100 1987 Measure-valued solutions to conservation laws. Zbl 0616.35055Diperna, Ronald J. 193 1985 Compensated compactness and general systems of conservation laws. Zbl 0606.35052Di Perna, Ronald J. 42 1985 The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081Di Perna, Ronald J.; Majda, Andrew 26 1985 Degenerate systems of conservation laws. Zbl 0595.35076Diperna, R. J. 3 1985 Conservation laws and compensated compactness. Zbl 0555.35087DiPerna, Ronald J. 2 1984 Singularities and oscillations in solutions to conservation laws. Zbl 0585.35064DiPerna, Ronald J. 1 1984 Convergence of approximate solutions to conservation laws. Zbl 0519.35054DiPerna, R. J. 228 1983 Convergence of the viscosity method for isentropic gas dynamics. Zbl 0533.76071DiPerna, Ronald J. 169 1983 Generalized solutions to conservation laws. Zbl 0542.35048DiPerna, Ronald J. 1 1983 Convergence of approximate solutions to conservation laws. Zbl 0491.76011DiPerna, R. J. 2 1982 Finite difference schemes for conservation laws. Zbl 0494.65054DiPerna, Ronald J. 1 1982 Uniqueness of solutions to hyperbolic conservation laws. Zbl 0409.35057Diperna, Ronald J. 100 1979 The structure of solutions to hyperbolic conservation laws. Zbl 0434.35061DiPerna, R. J. 4 1979 Entropy and the uniqueness of solutions to hyperbolic conservation laws. Zbl 0469.35064DiPerna, R. J. 2 1978 Decay of solutions of hyperbolic systems of conservation laws with a convex extension. Zbl 0348.35071DiPerna, Ronald J. 11 1977 Global existence of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0314.58010DiPerna, Ronald J. 31 1976 The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050Dafermos, C. M.; DiPerna, R. J. 28 1976 Singularities of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 0324.35062DiPerna, Ronald J. 26 1975 Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0309.35050DiPerna, Ronald J. 24 1975 Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0256.35053Diperna, Ronald J. 32 1973 Existence in the large for quasilinear hyperbolic conservation laws. Zbl 0268.35066DiPerna, Ronald J. 21 1973 Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0243.35068DiPerna, Ronald 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,900 Authors 59 Feireisl, Eduard 35 Chen, Gui-Qiang G. 33 Yang, Tong 30 Crippa, Gianluca 24 Perthame, Benoît 22 Frid, Hermano 21 Gwiazda, Piotr 21 Novotný, Antonín 21 Vasseur, Alexis F. 20 Lu, Yunguang 20 Zhang, Xianwen 19 Huang, Feimin 19 LeFloch, Philippe Gerard 18 Jabin, Pierre-Emmanuel 18 Masmoudi, Nader 18 Panov, Evgeniy Yu. 17 Ambrosio, Luigi 17 Wang, Dehua 17 Zhang, Ping 16 Cercignani, Carlo 16 Lions, Pierre-Louis 16 Luo, Dejun 16 Saint-Raymond, Laure 15 Bouchut, François 15 Desvillettes, Laurent 15 Flandoli, Franco 15 Nečasová, Šárka 15 Redwane, Hicham 15 Tadmor, Eitan 15 Xin, Zhouping 15 Zhao, Huijiang 14 Zhu, Changjiang 13 DiPerna, Ronald J. 13 Marcati, Pierangelo 13 Nussenzveig Lopes, Helena Judith 13 Tzavaras, Athanasios E. 12 Bostan, Mihai 12 Kružík, Martin 12 Lopes Filho, Milton da Costa 12 Serre, Denis 11 De Lellis, Camillo 11 Duan, Renjun 11 Golse, François 11 Goudon, Thierry 11 Karlsen, Kenneth Hvistendahl 11 Mischler, Stéphane 11 Mishra, Siddhartha 11 Świerczewska-Gwiazda, Agnieszka 11 Trivisa, Konstantina 11 Wittbold, Petra 10 Arkeryd, Leif O. 10 Brenier, Yann 10 Dafermos, Constantine M. 10 Kreml, Ondřej 10 Liu, Tai-Ping 10 Majda, Andrew J. 10 Petzeltová, Hana 10 Röckner, Michael 10 Slemrod, Marshall 10 Ukai, Seiji 9 Alexandre, Radjesvarane 9 Bennouna, Jaouad 9 Blanchard, Dominique 9 Bressan, Alberto 9 Glass, Olivier 9 Ha, Seung-Yeal 9 Han-Kwan, Daniel 9 Orlov, Vladimir P. 9 Shaposhnikov, Stanislav V. 9 Székelyhidi, László jun. 8 Bianchini, Stefano 8 Bogachev, Vladimir Igorevich 8 Donatelli, Donatella 8 Ducomet, Bernard 8 Guibé, Olivier 8 Guo, Yan 8 Hamdache, Kamel 8 Hauray, Maxime 8 Hofmanová, Martina 8 Mitrovic, Darko 8 Nouri, Anne 8 Orenga, Pierre 8 Rindler, Filip 8 Spirito, Stefano 8 Tsuge, Naoki 8 Wiedemann, Emil 8 Winkler, Michael 8 Zheng, Yuxi 7 Alberti, Giovanni 7 Ancona, Fabio 7 Arsénio, Diogo 7 Bardos, Claude Williams 7 Berthelin, Florent 7 Carrillo de la Plata, José Antonio 7 Chemetov, Nikolai V. 7 Chlebicka, Iwona 7 Giesselmann, Jan 7 Hsiao, Ling 7 Jiang, Ning 7 Jiu, Quansen ...and 1,800 more Authors all top 5 Cited in 282 Serials 178 Archive for Rational Mechanics and Analysis 162 Journal of Differential Equations 90 Communications in Partial Differential Equations 79 Communications in Mathematical Physics 73 Journal of Mathematical Analysis and Applications 58 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 54 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 52 Journal de Mathématiques Pures et Appliquées. Neuvième Série 51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Journal of Hyperbolic Differential Equations 38 Journal of Statistical Physics 36 SIAM Journal on Mathematical Analysis 33 Journal of Functional Analysis 33 Comptes Rendus. Mathématique. Académie des Sciences, Paris 31 Mathematics of Computation 28 Communications on Pure and Applied Mathematics 28 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 26 Journal of Mathematical Fluid Mechanics 25 Nonlinear Analysis. Real World Applications 24 Quarterly of Applied Mathematics 24 Physica D 24 Nonlinear Analysis. Theory, Methods & Applications 23 Transactions of the American Mathematical Society 22 Calculus of Variations and Partial Differential Equations 22 Journal of Mathematical Sciences (New York) 20 Journal of Mathematical Physics 20 Mathematical Methods in the Applied Sciences 18 Kinetic and Related Models 16 Applicable Analysis 16 Transport Theory and Statistical Physics 15 Nonlinearity 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Annali di Matematica Pura ed Applicata. Serie Quarta 15 NoDEA. Nonlinear Differential Equations and Applications 14 Inventiones Mathematicae 14 Applied Mathematics Letters 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Journal of Evolution Equations 12 Journal of Computational Physics 12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 12 Numerische Mathematik 12 Acta Applicandae Mathematicae 12 Bulletin of the American Mathematical Society. New Series 12 Doklady Mathematics 12 Acta Mathematica Sinica. English Series 11 Proceedings of the American Mathematical Society 11 Stochastic Processes and their Applications 11 Discrete and Continuous Dynamical Systems 11 Science China. Mathematics 10 Advances in Mathematics 10 SIAM Journal on Numerical Analysis 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 Bulletin des Sciences Mathématiques 9 Acta Mathematicae Applicatae Sinica. English Series 9 Journal of the American Mathematical Society 9 Journal of Nonlinear Science 8 Zeitschrift für Analysis und ihre Anwendungen 8 Revista Matemática Iberoamericana 8 Journal of Dynamics and Differential Equations 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Séminaire Laurent Schwartz. EDP et Applications 7 Duke Mathematical Journal 7 Studies in Applied Mathematics 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Japan Journal of Industrial and Applied Mathematics 7 Applications of Mathematics 7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 7 Analysis and Applications (Singapore) 7 Annals of PDE 6 The Annals of Probability 6 Applied Mathematics and Optimization 6 Manuscripta Mathematica 6 Ricerche di Matematica 6 Chinese Annals of Mathematics. Series B 6 Potential Analysis 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Monatshefte für Mathematik 5 Rendiconti del Seminario Matematico della Università di Padova 5 Siberian Mathematical Journal 5 Mathematical and Computer Modelling 5 Journal of Scientific Computing 5 Applicationes Mathematicae 5 Bulletin of the Brazilian Mathematical Society. New Series 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Proceedings of the Steklov Institute of Mathematics 5 Discrete and Continuous Dynamical Systems. Series S 5 Advances in Calculus of Variations 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Computer Methods in Applied Mechanics and Engineering 4 Mathematical Notes 4 Journal of Computational and Applied Mathematics 4 Probability Theory and Related Fields 4 Journal of Integral Equations and Applications 4 Science in China. Series A 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 SIAM Journal on Applied Mathematics 4 Boletim da Sociedade Brasileira de Matemática. Nova Série 4 Continuum Mechanics and Thermodynamics 4 Physics of Fluids 4 Abstract and Applied Analysis ...and 182 more Serials all top 5 Cited in 46 Fields 1,858 Partial differential equations (35-XX) 921 Fluid mechanics (76-XX) 362 Statistical mechanics, structure of matter (82-XX) 199 Numerical analysis (65-XX) 142 Probability theory and stochastic processes (60-XX) 120 Calculus of variations and optimal control; optimization (49-XX) 102 Mechanics of deformable solids (74-XX) 81 Functional analysis (46-XX) 69 Biology and other natural sciences (92-XX) 65 Ordinary differential equations (34-XX) 58 Integral equations (45-XX) 54 Dynamical systems and ergodic theory (37-XX) 46 Optics, electromagnetic theory (78-XX) 41 Classical thermodynamics, heat transfer (80-XX) 40 Operator theory (47-XX) 35 Measure and integration (28-XX) 34 Global analysis, analysis on manifolds (58-XX) 32 Real functions (26-XX) 25 Systems theory; control (93-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 24 Relativity and gravitational theory (83-XX) 22 Astronomy and astrophysics (85-XX) 22 Geophysics (86-XX) 21 Quantum theory (81-XX) 20 Operations research, mathematical programming (90-XX) 19 Differential geometry (53-XX) 19 Mechanics of particles and systems (70-XX) 12 Functions of a complex variable (30-XX) 9 General topology (54-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Approximations and expansions (41-XX) 4 Information and communication theory, circuits (94-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 2 Manifolds and cell complexes (57-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 1 Difference and functional equations (39-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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