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Author ID: diperna.ronald-j Recent zbMATH articles by "DiPerna, Ronald J."
Published as: DiPerna, Ronald J.; DiPerna, R. J.; Di Perna, Ronald J.; Diperna, Ronald J.; DiPerna, Ronald; Di Perna, Ronald; Di Perna, R.-J.; Diperna, R. J.
External Links: MGP · Wikidata
Documents Indexed: 50 Publications since 1973
Co-Authors: 4 Co-Authors with 16 Joint Publications
297 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 3,048 times in 2,426 Documents Cited by Year
Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049
DiPerna, R. J.; Lions, P. L.
799
1989
On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010
DiPerna, R. J.; Lions, P. L.
498
1989
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
233
1983
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
202
1985
Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059
DiPerna, Ronald J.; Majda, Andrew J.
184
1987
Convergence of the viscosity method for isentropic gas dynamics. Zbl 0533.76071
DiPerna, Ronald J.
183
1983
Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128
DiPerna, R. J.; Lions, P. L.
160
1989
Uniqueness of solutions to hyperbolic conservation laws. Zbl 0409.35057
Diperna, Ronald J.
111
1979
Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
107
1987
\(L^ p\) regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
81
1991
On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068
DiPerna, R. J.; Lions, P. L.
64
1988
Compensated compactness and general systems of conservation laws. Zbl 0606.35052
Di Perna, Ronald J.
45
1985
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
43
1988
Global solutions of Boltzmann’s equation and the entropy inequality. Zbl 0724.45011
DiPerna, R. J.; Lions, P. L.
40
1991
Solutions globals d’équations du type Vlasov-Poisson. (Global solutions of Vlasov-Poisson type equations). Zbl 0682.35022
DiPerna, Ronald; Lions, Pierre-Louis
39
1988
Global existence of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0314.58010
DiPerna, Ronald J.
32
1976
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0256.35053
Diperna, Ronald J.
31
1973
The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050
Dafermos, C. M.; DiPerna, R. J.
30
1976
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
26
1985
Singularities of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 0324.35062
DiPerna, Ronald J.
26
1975
Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0309.35050
DiPerna, Ronald J.
24
1975
Existence in the large for quasilinear hyperbolic conservation laws. Zbl 0268.35066
DiPerna, Ronald J.
21
1973
Global weak solutions of kinetic equations. Zbl 0813.35087
DiPerna, R. J.; Lions, Pierre-Louis
19
1988
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.
11
1989
Decay of solutions of hyperbolic systems of conservation laws with a convex extension. Zbl 0348.35071
DiPerna, Ronald J.
11
1977
Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0662.35016
Di Perna, Ronald; Lions, Pierre-Louis
10
1988
The structure of solutions to hyperbolic conservation laws. Zbl 0434.35061
DiPerna, R. J.
4
1979
Degenerate systems of conservation laws. Zbl 0595.35076
Diperna, R. J.
3
1985
Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0666.35059
Di Perna, R.-J.; Lions, P.-L.
2
1988
Convergence of approximate solutions to conservation laws. Zbl 0491.76011
DiPerna, R. J.
2
1982
Conservation laws and compensated compactness. Zbl 0555.35087
DiPerna, Ronald J.
2
1984
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0243.35068
DiPerna, Ronald
1
1973
Singularities and oscillations in solutions to conservation laws. Zbl 0585.35064
DiPerna, Ronald J.
1
1984
Finite difference schemes for conservation laws. Zbl 0494.65054
DiPerna, Ronald J.
1
1982
Generalized solutions to conservation laws. Zbl 0542.35048
DiPerna, Ronald J.
1
1983
Entropy and the uniqueness of solutions to hyperbolic conservation laws. Zbl 0469.35064
DiPerna, R. J.
1
1978
\(L^ p\) regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
81
1991
Global solutions of Boltzmann’s equation and the entropy inequality. Zbl 0724.45011
DiPerna, R. J.; Lions, P. L.
40
1991
Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049
DiPerna, R. J.; Lions, P. L.
799
1989
On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010
DiPerna, R. J.; Lions, P. L.
498
1989
Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128
DiPerna, R. J.; Lions, P. L.
160
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.
11
1989
On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068
DiPerna, R. J.; Lions, P. L.
64
1988
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
43
1988
Solutions globals d’équations du type Vlasov-Poisson. (Global solutions of Vlasov-Poisson type equations). Zbl 0682.35022
DiPerna, Ronald; Lions, Pierre-Louis
39
1988
Global weak solutions of kinetic equations. Zbl 0813.35087
DiPerna, R. J.; Lions, Pierre-Louis
19
1988
Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0662.35016
Di Perna, Ronald; Lions, Pierre-Louis
10
1988
Solutions globales de l’équation de Boltzmann. (Global solutions of the Boltzmann equation). Zbl 0666.35059
Di Perna, R.-J.; Lions, P.-L.
2
1988
Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059
DiPerna, Ronald J.; Majda, Andrew J.
184
1987
Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
107
1987
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
202
1985
Compensated compactness and general systems of conservation laws. Zbl 0606.35052
Di Perna, Ronald J.
45
1985
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
26
1985
Degenerate systems of conservation laws. Zbl 0595.35076
Diperna, R. J.
3
1985
Conservation laws and compensated compactness. Zbl 0555.35087
DiPerna, Ronald J.
2
1984
Singularities and oscillations in solutions to conservation laws. Zbl 0585.35064
DiPerna, Ronald J.
1
1984
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
233
1983
Convergence of the viscosity method for isentropic gas dynamics. Zbl 0533.76071
DiPerna, Ronald J.
183
1983
Generalized solutions to conservation laws. Zbl 0542.35048
DiPerna, Ronald J.
1
1983
Convergence of approximate solutions to conservation laws. Zbl 0491.76011
DiPerna, R. J.
2
1982
Finite difference schemes for conservation laws. Zbl 0494.65054
DiPerna, Ronald J.
1
1982
Uniqueness of solutions to hyperbolic conservation laws. Zbl 0409.35057
Diperna, Ronald J.
111
1979
The structure of solutions to hyperbolic conservation laws. Zbl 0434.35061
DiPerna, R. J.
4
1979
Entropy and the uniqueness of solutions to hyperbolic conservation laws. Zbl 0469.35064
DiPerna, R. J.
1
1978
Decay of solutions of hyperbolic systems of conservation laws with a convex extension. Zbl 0348.35071
DiPerna, Ronald J.
11
1977
Global existence of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0314.58010
DiPerna, Ronald J.
32
1976
The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050
Dafermos, C. M.; DiPerna, R. J.
30
1976
Singularities of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 0324.35062
DiPerna, Ronald J.
26
1975
Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0309.35050
DiPerna, Ronald J.
24
1975
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0256.35053
Diperna, Ronald J.
31
1973
Existence in the large for quasilinear hyperbolic conservation laws. Zbl 0268.35066
DiPerna, Ronald J.
21
1973
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0243.35068
DiPerna, Ronald
1
1973
all top 5

Cited by 1,989 Authors

63 Feireisl, Eduard
37 Chen, Gui-Qiang G.
33 Yang, Tong
31 Crippa, Gianluca
25 Novotný, Antonín
25 Perthame, Benoît
24 Vasseur, Alexis F.
22 Frid, Hermano
22 Zhang, Xianwen
21 Gwiazda, Piotr
21 Huang, Feimin
21 Lu, Yunguang
20 Jabin, Pierre-Emmanuel
20 Nečasová, Šárka
19 LeFloch, Philippe Gerard
18 Masmoudi, Nader
18 Panov, Evgeniy Yu.
18 Redwane, Hicham
17 Ambrosio, Luigi
17 Wang, Dehua
17 Zhang, Ping
16 Cercignani, Carlo
16 Desvillettes, Laurent
16 Flandoli, Franco
16 Lions, Pierre-Louis
16 Luo, Dejun
16 Tadmor, Eitan
15 Bouchut, François
15 Saint-Raymond, Laure
15 Xin, Zhouping
15 Zhao, Huijiang
14 Nussenzveig Lopes, Helena Judith
14 Serre, Denis
14 Zhu, Changjiang
13 DiPerna, Ronald J.
13 Marcati, Pierangelo
13 Tzavaras, Athanasios E.
12 Bostan, Mihai
12 De Lellis, Camillo
12 Duan, Renjun
12 Karlsen, Kenneth Hvistendahl
12 Kreml, Ondřej
12 Kružík, Martin
12 Lopes Filho, Milton da Costa
12 Mishra, Siddhartha
12 Zvyagin, Viktor Grigor’evich
11 Golse, François
11 Goudon, Thierry
11 Liu, Tai-Ping
11 Mischler, Stéphane
11 Świerczewska-Gwiazda, Agnieszka
11 Trivisa, Konstantina
11 Wittbold, Petra
10 Arkeryd, Leif O.
10 Bennouna, Jaouad
10 Brenier, Yann
10 Dafermos, Constantine M.
10 Hofmanová, Martina
10 Majda, Andrew J.
10 Orlov, Vladimir P.
10 Petzeltová, Hana
10 Röckner, Michael
10 Slemrod, Marshall
10 Ukai, Seiji
10 Wiedemann, Emil
9 Alexandre, Radjesvarane
9 Blanchard, Dominique
9 Bressan, Alberto
9 Ducomet, Bernard
9 Guibé, Olivier
9 Ha, Seung-Yeal
9 Han-Kwan, Daniel
9 Kwon, Young-Sam
9 Shaposhnikov, Stanislav V.
9 Spirito, Stefano
9 Székelyhidi, László jun.
9 Winkler, Michael
8 Bardos, Claude Williams
8 Bianchini, Stefano
8 Bogachev, Vladimir Igorevich
8 Carrillo de la Plata, José Antonio
8 Donatelli, Donatella
8 Ghoshal, Shyam Sundar
8 Giesselmann, Jan
8 Guo, Yan
8 Hauray, Maxime
8 Jiang, Ning
8 Kang, Moon-Jin
8 Mitrovic, Darko
8 Neves, Wladimir
8 Olivera, Christian
8 Orenga, Pierre
8 Rindler, Filip
8 Seis, Christian
8 Skubachevskiĭ, Aleksandr Leonidovich
8 Strain, Robert M.
8 Tsuge, Naoki
8 Zheng, Yuxi
8 Zhou, Shulin
7 Alberti, Giovanni
...and 1,889 more Authors
all top 5

Cited in 308 Serials

194 Archive for Rational Mechanics and Analysis
176 Journal of Differential Equations
93 Communications in Partial Differential Equations
82 Communications in Mathematical Physics
73 Journal of Mathematical Analysis and Applications
59 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
56 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
52 Journal de Mathématiques Pures et Appliquées. Neuvième Série
50 Journal of Hyperbolic Differential Equations
49 SIAM Journal on Mathematical Analysis
41 Journal of Statistical Physics
34 Journal of Functional Analysis
33 Journal of Mathematical Fluid Mechanics
33 Comptes Rendus. Mathématique. Académie des Sciences, Paris
32 Mathematics of Computation
29 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
29 Nonlinear Analysis. Real World Applications
28 Communications on Pure and Applied Mathematics
26 Physica D
25 Calculus of Variations and Partial Differential Equations
24 Quarterly of Applied Mathematics
24 Transactions of the American Mathematical Society
24 Nonlinear Analysis. Theory, Methods & Applications
23 Journal of Mathematical Physics
23 Journal of Mathematical Sciences (New York)
23 Kinetic and Related Models
20 Mathematical Methods in the Applied Sciences
18 Nonlinearity
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 NoDEA. Nonlinear Differential Equations and Applications
17 Journal of Evolution Equations
16 Applicable Analysis
16 Transport Theory and Statistical Physics
15 Annali di Matematica Pura ed Applicata. Serie Quarta
15 Discrete and Continuous Dynamical Systems
15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
14 Journal of Computational Physics
14 Inventiones Mathematicae
14 Numerische Mathematik
14 Acta Applicandae Mathematicae
14 Applied Mathematics Letters
14 Séminaire Laurent Schwartz. EDP et Applications
13 Advances in Mathematics
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
12 Stochastic Processes and their Applications
12 Bulletin of the American Mathematical Society. New Series
12 Doklady Mathematics
12 Acta Mathematica Sinica. English Series
12 Science China. Mathematics
12 Annals of PDE
11 Proceedings of the American Mathematical Society
10 SIAM Journal on Numerical Analysis
10 Revista Matemática Iberoamericana
10 Journal of Nonlinear Science
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Bulletin des Sciences Mathématiques
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Acta Mathematicae Applicatae Sinica. English Series
9 Journal of the American Mathematical Society
8 Zeitschrift für Analysis und ihre Anwendungen
8 Journal of Dynamics and Differential Equations
7 Applied Mathematics and Optimization
7 Duke Mathematical Journal
7 Ricerche di Matematica
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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
7 Analysis and Applications (Singapore)
7 Stochastic and Partial Differential Equations. Analysis and Computations
6 Computer Methods in Applied Mechanics and Engineering
6 The Annals of Probability
6 Manuscripta Mathematica
6 Mathematische Annalen
6 Chinese Annals of Mathematics. Series B
6 Journal of Scientific Computing
6 Potential Analysis
6 Networks and Heterogeneous Media
5 Journal of Fluid Mechanics
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 Applicationes Mathematicae
5 Journal of the European Mathematical Society (JEMS)
5 Bulletin of the Brazilian Mathematical Society. New Series
5 Multiscale Modeling & Simulation
5 Mediterranean Journal of Mathematics
5 Boundary Value Problems
5 Proceedings of the Steklov Institute of Mathematics
5 Discrete and Continuous Dynamical Systems. Series S
5 Advances in Calculus of Variations
4 Mathematical Notes
4 Journal of Computational and Applied Mathematics
4 Probability Theory and Related Fields
4 Journal of Integral Equations and Applications
...and 208 more Serials
all top 5

Cited in 46 Fields

2,036 Partial differential equations (35-XX)
1,008 Fluid mechanics (76-XX)
389 Statistical mechanics, structure of matter (82-XX)
219 Numerical analysis (65-XX)
160 Probability theory and stochastic processes (60-XX)
131 Calculus of variations and optimal control; optimization (49-XX)
108 Mechanics of deformable solids (74-XX)
95 Functional analysis (46-XX)
76 Biology and other natural sciences (92-XX)
66 Ordinary differential equations (34-XX)
60 Dynamical systems and ergodic theory (37-XX)
58 Integral equations (45-XX)
53 Optics, electromagnetic theory (78-XX)
51 Operator theory (47-XX)
43 Classical thermodynamics, heat transfer (80-XX)
38 Global analysis, analysis on manifolds (58-XX)
37 Measure and integration (28-XX)
31 Real functions (26-XX)
26 Relativity and gravitational theory (83-XX)
25 Systems theory; control (93-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
23 Quantum theory (81-XX)
23 Astronomy and astrophysics (85-XX)
22 Mechanics of particles and systems (70-XX)
22 Geophysics (86-XX)
21 Differential geometry (53-XX)
20 Operations research, mathematical programming (90-XX)
12 Functions of a complex variable (30-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 General topology (54-XX)
7 Computer science (68-XX)
5 Approximations and expansions (41-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Statistics (62-XX)
4 Information and communication theory, circuits (94-XX)
3 Special functions (33-XX)
3 Convex and discrete geometry (52-XX)
2 Integral transforms, operational calculus (44-XX)
2 Manifolds and cell complexes (57-XX)
1 Mathematical logic and foundations (03-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)

Citations by Year

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