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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
311 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 3,611 times in 2,875 Documents Cited by Year
Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049
DiPerna, R. J.; Lions, P. L.
974
1989
On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010
DiPerna, R. J.; Lions, P. L.
614
1989
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
251
1983
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
237
1985
Oscillations and concentrations in weak solutions of the incompressible fluid equations. Zbl 0626.35059
DiPerna, Ronald J.; Majda, Andrew J.
216
1987
Convergence of the viscosity method for isentropic gas dynamics. Zbl 0533.76071
DiPerna, Ronald J.
215
1983
Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128
DiPerna, R. J.; Lions, P. L.
180
1989
Uniqueness of solutions to hyperbolic conservation laws. Zbl 0409.35057
Diperna, Ronald J.
130
1979
Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
127
1987
\(L^ p\) regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
94
1991
On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068
DiPerna, R. J.; Lions, P. L.
80
1988
Compensated compactness and general systems of conservation laws. Zbl 0606.35052
Di Perna, Ronald J.
60
1985
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
51
1988
Solutions globals d’équations du type Vlasov-Poisson. (Global solutions of Vlasov-Poisson type equations). Zbl 0682.35022
DiPerna, Ronald; Lions, Pierre-Louis
49
1988
Global solutions of Boltzmann’s equation and the entropy inequality. Zbl 0724.45011
DiPerna, R. J.; Lions, P. L.
46
1991
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0256.35053
Diperna, Ronald J.
37
1973
The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050
Dafermos, C. M.; DiPerna, R. J.
36
1976
Global existence of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0314.58010
DiPerna, Ronald J.
35
1976
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
27
1985
Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0309.35050
DiPerna, Ronald J.
25
1975
Singularities of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 0324.35062
DiPerna, Ronald J.
25
1975
Existence in the large for quasilinear hyperbolic conservation laws. Zbl 0268.35066
DiPerna, Ronald J.
24
1973
Global weak solutions of kinetic equations. Zbl 0813.35087
DiPerna, R. J.; Lions, Pierre-Louis
22
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.
15
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
Singularities and oscillations in solutions to conservation laws. Zbl 0585.35064
DiPerna, Ronald J.
2
1984
Generalized solutions to conservation laws. Zbl 0542.35048
DiPerna, Ronald J.
1
1983
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0243.35068
DiPerna, Ronald
1
1973
Entropy and the uniqueness of solutions to hyperbolic conservation laws. Zbl 0469.35064
DiPerna, R. J.
1
1978
Finite difference schemes for conservation laws. Zbl 0494.65054
DiPerna, Ronald J.
1
1982
Compactness of solutions to nonlinear PDE. Zbl 0701.35099
Di Perna, Ronald J.
1
1987
\(L^ p\) regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
94
1991
Global solutions of Boltzmann’s equation and the entropy inequality. Zbl 0724.45011
DiPerna, R. J.; Lions, P. L.
46
1991
Ordinary differential equations, transport theory and Sobolev spaces. Zbl 0696.34049
DiPerna, R. J.; Lions, P. L.
974
1989
On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Zbl 0698.45010
DiPerna, R. J.; Lions, P. L.
614
1989
Global weak solutions of Vlasov-Maxwell systems. Zbl 0698.35128
DiPerna, R. J.; Lions, P. L.
180
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.
15
1989
On the Fokker-Planck-Boltzmann equation. Zbl 0671.35068
DiPerna, R. J.; Lions, P. L.
80
1988
Reduced Hausdorff dimension and concentration-cancellation for two- dimensional incompressible flow. Zbl 0707.76026
DiPerna, Ronald J.; Majda, Andrew
51
1988
Solutions globals d’équations du type Vlasov-Poisson. (Global solutions of Vlasov-Poisson type equations). Zbl 0682.35022
DiPerna, Ronald; Lions, Pierre-Louis
49
1988
Global weak solutions of kinetic equations. Zbl 0813.35087
DiPerna, R. J.; Lions, Pierre-Louis
22
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.
216
1987
Concentrations in regularizations for \(2-D\) incompressible flow. Zbl 0850.76730
Diperna, Ronald J.; Majda, Andrew J.
127
1987
Compactness of solutions to nonlinear PDE. Zbl 0701.35099
Di Perna, Ronald J.
1
1987
Measure-valued solutions to conservation laws. Zbl 0616.35055
Diperna, Ronald J.
237
1985
Compensated compactness and general systems of conservation laws. Zbl 0606.35052
Di Perna, Ronald J.
60
1985
The validity of nonlinear geometric optics for weak solutions of conservation laws. Zbl 0582.35081
Di Perna, Ronald J.; Majda, Andrew
27
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.
2
1984
Convergence of approximate solutions to conservation laws. Zbl 0519.35054
DiPerna, R. J.
251
1983
Convergence of the viscosity method for isentropic gas dynamics. Zbl 0533.76071
DiPerna, Ronald J.
215
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.
130
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
The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050
Dafermos, C. M.; DiPerna, R. J.
36
1976
Global existence of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0314.58010
DiPerna, Ronald J.
35
1976
Decay and asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws. Zbl 0309.35050
DiPerna, Ronald J.
25
1975
Singularities of solutions of nonlinear hyperbolic systems of conservation laws. Zbl 0324.35062
DiPerna, Ronald J.
25
1975
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0256.35053
Diperna, Ronald J.
37
1973
Existence in the large for quasilinear hyperbolic conservation laws. Zbl 0268.35066
DiPerna, Ronald J.
24
1973
Global solutions to a class of nonlinear hyperbolic systems of equations. Zbl 0243.35068
DiPerna, Ronald
1
1973
all top 5

Cited by 2,373 Authors

69 Feireisl, Eduard
42 Chen, Gui-Qiang G.
37 Crippa, Gianluca
35 Yang, Tong
29 Vasseur, Alexis F.
28 Lu, Yunguang
28 Zhang, Xianwen
27 Novotný, Antonín
27 Perthame, Benoît
26 Nečasová, Šárka
25 Frid, Hermano
25 Redwane, Hicham
24 Huang, Feimin
23 Gwiazda, Piotr
23 Jabin, Pierre-Emmanuel
20 Ambrosio, Luigi
20 Zvyagin, Viktor Grigor’evich
19 LeFloch, Philippe Gerard
19 Masmoudi, Nader
19 Panov, Evgeniy Yu.
19 Tadmor, Eitan
18 Duan, Renjun
18 Saint-Raymond, Laure
18 Wang, Dehua
17 Flandoli, Franco
17 Lions, Pierre-Louis
17 Luo, Dejun
17 Zhang, Ping
16 Cercignani, Carlo
16 Desvillettes, Laurent
16 Karlsen, Kenneth Hvistendahl
16 Wiedemann, Emil
16 Zhao, Huijiang
15 Bouchut, François
15 Serre, Denis
15 Xin, Zhouping
14 Marcati, Pierangelo
14 Nussenzveig Lopes, Helena Judith
14 Orlov, Vladimir P.
14 Tzavaras, Athanasios E.
14 Wang, Yong
14 Zhu, Changjiang
13 De Lellis, Camillo
13 DiPerna, Ronald J.
13 Hofmanová, Martina
13 Kružík, Martin
12 Bennouna, Jaouad
12 Bostan, Mihai
12 Bressan, Alberto
12 El Moumni, Mostafa
12 Golse, François
12 Han-Kwan, Daniel
12 Jiang, Ning
12 Kreml, Ondřej
12 Lopes Filho, Milton da Costa
12 Mischler, Stéphane
12 Mishra, Siddhartha
12 Spirito, Stefano
12 Świerczewska-Gwiazda, Agnieszka
12 Trivisa, Konstantina
11 Arkeryd, Leif O.
11 Bianchini, Stefano
11 Dafermos, Constantine
11 Goudon, Thierry
11 Guo, Yan
11 Liu, Tai-Ping
11 Röckner, Michael
11 Winkler, Michael
11 Wittbold, Petra
10 Benkirane, Abdelmoujib
10 Brenier, Yann
10 Bruè, Elia
10 Ducomet, Bernard
10 Ghoshal, Shyam Sundar
10 Giesselmann, Jan
10 Glass, Olivier
10 Guibé, Olivier
10 Kang, Moon-Jin
10 Klingenberg, Christian
10 Kwon, Young-Sam
10 Majda, Andrew J.
10 Mitrovic, Darko
10 Neves, Wladimir
10 Petzeltová, Hana
10 Skubachevskiĭ, Aleksandr Leonidovich
10 Slemrod, Marshall
10 Strain, Robert M.
10 Székelyhidi, László jun.
10 Ukai, Seiji
10 Yu, Hongjun
9 Blanchard, Dominique
9 Breit, Dominic
9 Carrillo de la Plata, José Antonio
9 Colombo, Maria
9 Ha, Seung-Yeal
9 Lacave, Christophe
9 Miot, Evelyne
9 Nouri, Anne
9 Olivera, Christian
9 Rindler, Filip
...and 2,273 more Authors
all top 5

Cited in 346 Serials

204 Archive for Rational Mechanics and Analysis
198 Journal of Differential Equations
98 Communications in Partial Differential Equations
92 Communications in Mathematical Physics
78 Journal of Mathematical Analysis and Applications
70 SIAM Journal on Mathematical Analysis
65 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
63 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
57 Journal de Mathématiques Pures et Appliquées. Neuvième Série
57 Journal of Hyperbolic Differential Equations
46 Journal of Statistical Physics
42 Journal of Functional Analysis
42 Journal of Mathematical Fluid Mechanics
38 Nonlinear Analysis. Real World Applications
34 Mathematics of Computation
34 Comptes Rendus. Mathématique. Académie des Sciences, Paris
33 Journal of Mathematical Physics
32 Communications on Pure and Applied Mathematics
31 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
31 Calculus of Variations and Partial Differential Equations
30 Quarterly of Applied Mathematics
29 Nonlinearity
29 Transactions of the American Mathematical Society
28 Physica D
26 Kinetic and Related Models
25 Mathematical Methods in the Applied Sciences
25 ZAMP. Zeitschrift für angewandte Mathematik und Physik
25 Nonlinear Analysis. Theory, Methods & Applications
23 Journal of Mathematical Sciences (New York)
22 Discrete and Continuous Dynamical Systems
22 Journal of Evolution Equations
19 Journal of Computational Physics
19 Annali di Matematica Pura ed Applicata. Serie Quarta
18 Applicable Analysis
18 NoDEA. Nonlinear Differential Equations and Applications
18 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Transport Theory and Statistical Physics
16 Inventiones Mathematicae
15 Advances in Mathematics
15 Numerische Mathematik
15 Acta Applicandae Mathematicae
15 Annals of PDE
14 Applied Mathematics Letters
14 Stochastic Processes and their Applications
14 Acta Mathematica Scientia. Series B. (English Edition)
14 Séminaire Laurent Schwartz. EDP et Applications
13 Journal of Nonlinear Science
13 Doklady Mathematics
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Science China. Mathematics
12 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
12 Bulletin of the American Mathematical Society. New Series
12 Journal of Dynamics and Differential Equations
12 Acta Mathematica Sinica. English Series
11 Proceedings of the American Mathematical Society
11 Revista Matemática Iberoamericana
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Analysis & PDE
10 SIAM Journal on Numerical Analysis
10 Bulletin des Sciences Mathématiques
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
9 Ricerche di Matematica
9 Zeitschrift für Analysis und ihre Anwendungen
9 Chinese Annals of Mathematics. Series B
9 Acta Mathematicae Applicatae Sinica. English Series
9 Journal of the American Mathematical Society
9 Journal of Scientific Computing
8 Applied Mathematics and Optimization
8 Applications of Mathematics
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Discrete and Continuous Dynamical Systems. Series B
7 Computer Methods in Applied Mechanics and Engineering
7 Duke Mathematical Journal
7 Mathematische Annalen
7 Studies in Applied Mathematics
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 Probability Theory and Related Fields
7 Japan Journal of Industrial and Applied Mathematics
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 Analysis and Applications (Singapore)
7 Boletim da Sociedade Paranaense de Matemática. Terceira Série
7 Mediterranean Journal of Mathematics
7 Discrete and Continuous Dynamical Systems. Series S
7 Stochastic and Partial Differential Equations. Analysis and Computations
6 The Annals of Probability
6 Manuscripta Mathematica
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Potential Analysis
6 Journal of the European Mathematical Society (JEMS)
6 Differential Equations
6 Multiscale Modeling & Simulation
6 Networks and Heterogeneous Media
6 Advances in Calculus of Variations
5 Journal of Fluid Mechanics
5 Mathematical Notes
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Indiana University Mathematics Journal
5 Monatshefte für Mathematik
5 Rendiconti del Seminario Matematico della Università di Padova
...and 246 more Serials
all top 5

Cited in 48 Fields

2,443 Partial differential equations (35-XX)
1,226 Fluid mechanics (76-XX)
448 Statistical mechanics, structure of matter (82-XX)
254 Numerical analysis (65-XX)
214 Probability theory and stochastic processes (60-XX)
150 Calculus of variations and optimal control; optimization (49-XX)
122 Mechanics of deformable solids (74-XX)
113 Functional analysis (46-XX)
90 Biology and other natural sciences (92-XX)
83 Ordinary differential equations (34-XX)
72 Dynamical systems and ergodic theory (37-XX)
71 Optics, electromagnetic theory (78-XX)
64 Integral equations (45-XX)
63 Operator theory (47-XX)
56 Classical thermodynamics, heat transfer (80-XX)
48 Global analysis, analysis on manifolds (58-XX)
47 Measure and integration (28-XX)
41 Real functions (26-XX)
34 Systems theory; control (93-XX)
32 Relativity and gravitational theory (83-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
29 Astronomy and astrophysics (85-XX)
28 Mechanics of particles and systems (70-XX)
28 Quantum theory (81-XX)
27 Geophysics (86-XX)
26 Differential geometry (53-XX)
23 Operations research, mathematical programming (90-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Functions of a complex variable (30-XX)
10 General topology (54-XX)
9 Computer science (68-XX)
8 Approximations and expansions (41-XX)
7 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Information and communication theory, circuits (94-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Integral transforms, operational calculus (44-XX)
4 Statistics (62-XX)
3 Special functions (33-XX)
3 Convex and discrete geometry (52-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Potential theory (31-XX)
2 Manifolds and cell complexes (57-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)

Citations by Year

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