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DiPerna, Ronald J.

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 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.
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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
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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)

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 0696.34049
DiPerna, R. J.; Lions, P. L.
1989
On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010
DiPerna, R. J.; Lions, P. L.
1989
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
1983
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
1985
Convergence of the viscosity method for isentropic gas dynamics. Zbl 0533.76071
DiPerna, Ronald J.
1983
Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059
DiPerna, Ronald J.; Majda, Andrew J.
1987
Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128
DiPerna, R. J.; Lions, P. L.
1989
Concentrations in regularizations for $$2-D$$ incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
1987
Uniqueness of solutions to hyperbolic conservation laws. Zbl 0409.35057
Diperna, Ronald J.
1979
$$L^ p$$ regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
1991
On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068
DiPerna, R. J.; Lions, P. L.
1988
Compensated compactness and general systems of conservation laws. Zbl 0606.35052
Di Perna, Ronald J.
1985
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
1988
Global solutions of Boltzmann’s equation and the entropy inequality. Zbl 0724.45011
DiPerna, R. J.; Lions, P. L.
1991
Solutions globals d’équations du type Vlasov-Poisson. (Global solutions of Vlasov-Poisson type equations). Zbl 0682.35022
DiPerna, Ronald; Lions, Pierre-Louis
1988
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0256.35053
Diperna, Ronald J.
1973
Global existence of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0314.58010
DiPerna, Ronald J.
1976
The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050
Dafermos, C. M.; DiPerna, R. J.
1976
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
1985
Singularities of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 0324.35062
DiPerna, Ronald J.
1975
Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0309.35050
DiPerna, Ronald J.
1975
Existence in the large for quasilinear hyperbolic conservation laws. Zbl 0268.35066
DiPerna, Ronald J.
1973
Global weak solutions of kinetic equations. Zbl 0813.35087
DiPerna, R. J.; Lions, Pierre-Louis
1988
Decay of solutions of hyperbolic systems of conservation laws with a convex extension. Zbl 0348.35071
DiPerna, Ronald J.
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 0708.34014
DiPerna, R. J.; Lions, P. L.
1989
Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0662.35016
Di Perna, Ronald; Lions, Pierre-Louis
1988
The structure of solutions to hyperbolic conservation laws. Zbl 0434.35061
DiPerna, R. J.
1979
Degenerate systems of conservation laws. Zbl 0595.35076
Diperna, R. J.
1985
Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0666.35059
Di Perna, R.-J.; Lions, P.-L.
1988
Conservation laws and compensated compactness. Zbl 0555.35087
DiPerna, Ronald J.
1984
Convergence of approximate solutions to conservation laws. Zbl 0491.76011
DiPerna, R. J.
1982
Entropy and the uniqueness of solutions to hyperbolic conservation laws. Zbl 0469.35064
DiPerna, R. J.
1978
Singularities and oscillations in solutions to conservation laws. Zbl 0585.35064
DiPerna, Ronald J.
1984
Generalized solutions to conservation laws. Zbl 0542.35048
DiPerna, Ronald J.
1983
Finite difference schemes for conservation laws. Zbl 0494.65054
DiPerna, Ronald J.
1982
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0243.35068
DiPerna, Ronald
1973
$$L^ p$$ regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
1991
Global solutions of Boltzmann’s equation and the entropy inequality. Zbl 0724.45011
DiPerna, R. J.; Lions, P. L.
1991
Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049
DiPerna, R. J.; Lions, P. L.
1989
On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010
DiPerna, R. J.; Lions, P. L.
1989
Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128
DiPerna, R. J.; Lions, P. L.
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 0708.34014
DiPerna, R. J.; Lions, P. L.
1989
On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068
DiPerna, R. J.; Lions, P. L.
1988
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
1988
Solutions globals d’équations du type Vlasov-Poisson. (Global solutions of Vlasov-Poisson type equations). Zbl 0682.35022
DiPerna, Ronald; Lions, Pierre-Louis
1988
Global weak solutions of kinetic equations. Zbl 0813.35087
DiPerna, R. J.; Lions, Pierre-Louis
1988
Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0662.35016
Di Perna, Ronald; Lions, Pierre-Louis
1988
Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0666.35059
Di Perna, R.-J.; Lions, P.-L.
1988
Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059
DiPerna, Ronald J.; Majda, Andrew J.
1987
Concentrations in regularizations for $$2-D$$ incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
1987
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
1985
Compensated compactness and general systems of conservation laws. Zbl 0606.35052
Di Perna, Ronald J.
1985
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
1985
Degenerate systems of conservation laws. Zbl 0595.35076
Diperna, R. J.
1985
Conservation laws and compensated compactness. Zbl 0555.35087
DiPerna, Ronald J.
1984
Singularities and oscillations in solutions to conservation laws. Zbl 0585.35064
DiPerna, Ronald J.
1984
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
1983
Convergence of the viscosity method for isentropic gas dynamics. Zbl 0533.76071
DiPerna, Ronald J.
1983
Generalized solutions to conservation laws. Zbl 0542.35048
DiPerna, Ronald J.
1983
Convergence of approximate solutions to conservation laws. Zbl 0491.76011
DiPerna, R. J.
1982
Finite difference schemes for conservation laws. Zbl 0494.65054
DiPerna, Ronald J.
1982
Uniqueness of solutions to hyperbolic conservation laws. Zbl 0409.35057
Diperna, Ronald J.
1979
The structure of solutions to hyperbolic conservation laws. Zbl 0434.35061
DiPerna, R. J.
1979
Entropy and the uniqueness of solutions to hyperbolic conservation laws. Zbl 0469.35064
DiPerna, R. J.
1978
Decay of solutions of hyperbolic systems of conservation laws with a convex extension. Zbl 0348.35071
DiPerna, Ronald J.
1977
Global existence of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0314.58010
DiPerna, Ronald J.
1976
The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050
Dafermos, C. M.; DiPerna, R. J.
1976
Singularities of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 0324.35062
DiPerna, Ronald J.
1975
Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0309.35050
DiPerna, Ronald J.
1975
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0256.35053
Diperna, Ronald J.
1973
Existence in the large for quasilinear hyperbolic conservation laws. Zbl 0268.35066
DiPerna, Ronald J.
1973
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0243.35068
DiPerna, Ronald
1973
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
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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
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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)

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