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Foiaş, Ciprian Ilie

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Author ID: foias.ciprian Recent zbMATH articles by "Foiaş, Ciprian Ilie"
Published as: Foiaş, Ciprian; Foias, Ciprian; Foias, C.; Foiaš, Ciprian; Foiaş, C.; Foias, Cyprian; Foiaş, C
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Co-Authors

79 single-authored
59 Temam, Roger Meyer
58 Szőkefalvi-Nagy, Béla
44 Bercovici, Hari
43 Tannenbaum, Allen Robert
41 Pearcy, Carl Mark Jr.
28 Frazho, Arthur E.
26 Jolly, Michael S.
23 Manley, Oscar P.
21 Apostol, Constantin Gelu
16 Nicolaenko, Basil
15 Constantin, Peter
15 Titi, Edriss Saleh
14 Rosa, Ricardo M. S.
13 Saut, Jean-Claude
13 Voiculescu, Dan-Virgil
12 Douglas, Ronald George
12 Gussi, Gheorghe
10 Becker, Robert A.
10 Jung, Il Bong
10 Ko, Eungil
10 Poénaru, Valentin
9 Eden, Alp
9 Kaashoek, Marinus Adriaan
8 Biswas, Animikh
8 Ceausescu, Zoia
8 Dinculeanu, Nicolae
7 Gohberg, Israel
6 Colojoară, Ion
6 Hoang, Luan Thach
6 Olson, Eric J.
6 Sell, George Roger
6 Zames, George
5 Dascaliuc, Radu
5 Gu, Caixing
5 Holm, Darryl D.
4 Kukavica, Igor
4 Singer, Ivan
3 Arsene, Grigore
3 Ball, Joseph Anthony
3 Chen, Shiyi
3 Guillopé, Colette
3 Hamid, Sami M.
3 Helton, John William
3 Kérchy, László
3 Nicolescu, Miron
3 Onica, Constantin
3 Sarkar, Jaydeb
3 Vasilescu, Florian-Horia
3 Zhang, Bingsheng
2 Balci, Nusret
2 Gehér, László
2 Kevrekidis, Ioannis George
2 Kravchenko, Rostyslav V.
2 Marinescu, Gheorghe I.
2 Mondaini, Cecilia F.
2 Prodi, Giovanni
2 Sherman, Peter J.
2 Smith, Lidia
2 Teman, Roger
2 Wynne, Shannon
2 Yang, Yong
2 Ziane, Mohammed
2 Zsidó, Lászlo
1 Albrecht, Ernst
1 Anastasio, Sal
1 Anderson, Joel
1 Ben-Artzi, Asher
1 Boyd, John H. III
1 Brown, Lawrence Gerald
1 Carlson, Jon Frederick
1 Chae, Dongho
1 Chevreau, Bernard
1 Ching, Wai-Mee
1 Choquet, Gustave
1 Clark, Douglas Napier
1 Cuculescu, Ion
1 Dales, C.
1 Davis, Chandler
1 Deckard, Don
1 Dixmier, Jacques
1 Doering, Charles Rogers
1 Eschmeier, Jorg
1 Fisher, Joseph A.
1 Frisch, Uriel
1 Georgiou, Tryphon T.
1 Gibbon, John D.
1 Gologan, Radu-Nicolae
1 Jonas, Peter
1 Kalantarov, Varga K.
1 Katok, Anatole
1 Khargonekar, Pramod P.
1 Lan, Ruomeng
1 Langer, Heinz
1 Langsam, J.
1 Larios, Adam
1 Lax, Peter David
1 Lions, Jacques-Louis
1 Lithio, Dan
1 Majda, Andrew J.
1 Majumdar, Mukul K.
...and 41 more Co-Authors
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Serials

60 Acta Scientiarum Mathematicarum
30 Revue Roumaine de Mathématiques Pures et Appliquées
18 Indiana University Mathematics Journal
15 Integral Equations and Operator Theory
15 Comptes Rendus de l’Académie des Sciences. Série I
14 Journal of Functional Analysis
13 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
11 Physica D
11 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
10 Journal of Dynamics and Differential Equations
10 Académie de la République Populaire Roumaine, Revue de Mathématiques Pures et Appliquées
9 Journal of Mathematical Analysis and Applications
8 Michigan Mathematical Journal
8 Journal of Operator Theory
7 Nonlinearity
7 Proceedings of the American Mathematical Society
6 Journal of Differential Equations
6 Transactions of the American Mathematical Society
5 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
5 Comunicările Academiei Republicii Populare Române
5 Operator Theory: Advances and Applications
4 Journal of Statistical Physics
4 Rendiconti del Seminario Matematico della Università di Padova
4 SIAM Journal on Control and Optimization
4 Libertas Mathematica
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Discrete and Continuous Dynamical Systems
3 Communications in Mathematical Physics
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Physics
3 Studia Mathematica
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Pacific Journal of Mathematics
3 Studii și Cercetări Matematice
3 Systems & Control Letters
3 Linear Algebra and its Applications
3 SIAM Journal on Mathematical Analysis
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Doklady Akademii Nauk SSSR
2 Israel Journal of Mathematics
2 Journal of Fluid Mechanics
2 Physics of Fluids
2 Russian Mathematical Surveys
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Physics of Fluids, A
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin de la Société Mathématique de France
2 Canadian Journal of Mathematics
2 Journal of Mathematical Economics
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Physics of Fluids
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
2 Journal of Mathematics and Mechanics
2 Encyclopedia of Mathematics and Its Applications
1 IEEE Transactions on Information Theory
1 IMA Journal of Applied Mathematics
1 International Journal of Control
1 Journal of Mathematical Biology
1 Physics Letters. A
1 Mathematics of Computation
1 Analele Universității din Timișoara. Științe Matematice
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Archiv der Mathematik
1 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série
1 Bulletin des Sciences Mathématiques. Deuxième Série
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Econometrica
1 IEEE Transactions on Automatic Control
1 Illinois Journal of Mathematics
1 Journal of Economic Theory
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Portugaliae Mathematica
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Numerical Analysis
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 MCSS. Mathematics of Control, Signals, and Systems
1 Economics Letters
1 The Journal of Geometric Analysis
1 Communications in Partial Differential Equations
1 Proceedings of the National Academy of Sciences of the United States of America
1 Notices of the American Mathematical Society
1 Indagationes Mathematicae. New Series
1 Journal of Nonlinear Science
1 Economic Theory
1 The New York Journal of Mathematics
1 Analele Universității din Timișoara. Seria Matematică-Informatică
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Physical Review Letters
1 Journal of the Australian Mathematical Society
1 SIAM Journal on Applied Dynamical Systems
1 Academia Republicii Populare Romîne, Studii și Cercetări Matematice
1 Academia Republicii Populare Romîne. Buletin Științific. Secțiunea de Științe Matematice și Fizike
1 Analele Universitații din Timișoara. Seria Științe Matematice-Fizice
...and 16 more Serials

Publications by Year

Citations contained in zbMATH Open

385 Publications have been cited 8,488 times in 4,958 Documents Cited by Year
Harmonic analysis of operators on Hilbert space. Zbl 0201.45003
Sz.-Nagy, Béla; Foiaş, Ciprian
676
1970
Navier-Stokes equations. Zbl 0687.35071
Constantin, Peter; Foias, Ciprian
577
1988
Navier-Stokes equations and turbulence. Zbl 0994.35002
Foias, C.; Rosa, R.; Manley, O.; Temam, R.
297
2001
Inertial manifolds for nonlinear evolutionary equations. Zbl 0643.58004
Foias, Ciprian; Sell, George R.; Temam, Roger
266
1988
Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations. Zbl 0454.35073
Foiaş, Ciprian; Temam, R.
253
1979
Gevrey class regularity for the solutions of the Navier-Stokes equations. Zbl 0702.35203
Foias, C.; Temam, R.
252
1989
Exponential attractors for dissipative evolution equations. Zbl 0842.58056
Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R.
227
1994
Harmonic analysis of operators on Hilbert space. 2nd revised and enlarged ed. Zbl 1234.47001
Sz.-Nagy, Béla; Foias, Ciprian; Bercovici, Hari; Kérchy, László
210
2010
Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002
Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R.
198
1989
Structure of the set of stationary solutions of the Navier Stokes equations. Zbl 0335.35077
Foiaş, Ciprian; Temam, R.
193
1977
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. Zbl 0995.35051
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
187
2002
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
165
2001
The commutant lifting approach to interpolation problems. Zbl 0718.47010
Foias, Ciprian; Frazho, Arthur E.
152
1990
Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525
Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
136
1998
Theory of generalized spectral operators. Zbl 0189.44201
Colojoară, Ion; Foiaş, Ciprian
126
1968
Modelling of the interaction of small and large eddies in two dimensional turbulent flows. Zbl 0663.76054
Foias, C.; Manley, O.; Temam, R.
124
1988
Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2. Zbl 0176.54103
Foiaš, Ciprian; Prodi, G.
112
1968
Attractors for the Bénard problem: Existence and physical bounds on their fractal dimension. Zbl 0646.76098
Foias, C.; Manley, O.; Temam, R.
112
1987
Attractors representing turbulent flows. Zbl 0567.35070
Constantin, P.; Foiaş, Ciprian; Temam, R.
110
1985
A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
107
1999
Analyse harmonique des opérateurs de l’espace de Hilbert. Zbl 0157.43201
Sz.-Nagy, Béla; Foiaş, Ciprian
104
1967
Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028
Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R.
90
1988
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
88
1999
Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractors for 2D Navier-Stokes equations. Zbl 0582.35092
Constantin, P.; Foiaş, Ciprian
86
1985
Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I. Zbl 0608.47005
Apostol, C.; Bercovici, H.; Foias, C.; Pearcy, C.
85
1985
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053
Foias, Ciprian; Sell, George R.; Titi, Edriss S.
84
1989
Remarques sur les équations de Navier-Stokes stationnaires et les phénomènes successifs de bifurcation. Zbl 0384.35047
Foiaş, Ciprian; Temam, R.
82
1978
Asymptotic analysis of the Navier-Stokes equations. Zbl 0584.35007
Foiaş, Ciprian; Manley, O. P.; Temam, R.; Treve, Y. M.
77
1983
Determining modes and fractal dimension of turbulent flows. Zbl 0607.76054
Constantin, P.; Foias, C.; Manley, O. P.; Temam, R.
75
1985
On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030
Constantin, P.; Foias, C.; Temam, R.
74
1988
Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078
Foias, Ciprian; Titi, Edriss S.
69
1991
Determination of the solutions of the Navier-Stokes equations by a set of nodal values. Zbl 0563.35058
Foiaş, Ciprian; Temam, Roger
66
1984
Energy dissipation in body-forced turbulence. Zbl 1029.76025
Doering, Charles R.; Foias, Ciprian
56
2002
Solutions statistiques homogenes des équations de Navier-Stokes. Zbl 0406.35053
Foiaş, Ciprian; Teman, R.
53
1979
Dilatation des commutants d’opérateurs. Zbl 0173.16503
Sz.-Nagy, Béla; Foiaš, Ciprian
50
1968
Asymptotic behavior, as \(t\to +\infty\) of solutions of Navier-Stokes equations and nonlinear spectral manifolds. Zbl 0565.35087
Foiaş, Ciprian; Saut, J. C.
47
1984
Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024
Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R.
46
1989
Statistical study of Navier-Stokes equations. II. Zbl 0283.76018
Foiaş, Ciprian
46
1973
Metric constrained interpolation, commutant lifting and systems. Zbl 0923.47009
Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A.
41
1998
Statistical study of Navier-Stokes equations. I. Zbl 0283.76017
Foiaş, Ciprian
39
1973
Spectral maximal spaces and decomposable operators in Banach space. Zbl 0176.43802
Foiaş, Ciprian
37
1963
On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140
Cheskidov, A.; Foias, C.
36
2006
A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208
Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
35
2016
New a priori estimates for Navier-Stokes equations in dimension 3. Zbl 0472.35070
Foiaş, Ciprian; Guillopé, Colette; Témam, Roger
33
1981
Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034
Foias, C.; Olson, E.
32
1996
Some results on non-quasitriangular operators. IV. Zbl 0264.47007
Apostol, Constantin; Foiaş, Ciprian; Voiculescu, Dan
32
1973
A characterization of Ramsey equilibrium. Zbl 0612.90015
Becker, Robert A.; Foias, Ciprian
31
1987
Asymptotic numerical analysis for the Navier-Stokes equations. Zbl 0555.76030
Foiaş, Ciprian; Temam, R.
31
1983
On the \(H^{\infty}\)-optimal sensitivity problem for systems with delays. Zbl 0631.93020
Foias, Ciprian; Tannenbaum, Allen; Zames, George
30
1987
Dual algebras with applications to invariant subspaces and dilation theory. Zbl 0569.47007
Bercovici, Hari; Foiaş, Ciprian; Pearcy, Carl
29
1985
Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. Zbl 1158.76327
Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.
29
2002
Weighted sensitivity minimization for delay systems. Zbl 0631.93019
Foias, Ciprian; Tannenbaum, Allen; Zames, George
28
1986
Variétés inertielles des équations différentielles dissipatives. (Inertial manifolds for dissipative differential equations). Zbl 0591.35062
Foiaş, Ciprian; Sell, George R.; Témam, Roger
27
1985
Dissipativity of numerical schemes. Zbl 0734.65080
Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S.
27
1991
Sur les solutions statistiques des équations de Navier-Stokes. Zbl 0344.76015
Foiaş, Ciprian; Prodi, G.
26
1976
Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Zbl 0102.32302
Foiaš, Ciprian; Singer, Ivan
26
1960
What do the Navier-Stokes equations tell us about turbulence? Zbl 0890.76030
Foias, Ciprian
26
1997
Local and global Lyapunov exponents. Zbl 0718.34080
Eden, A.; Foias, C.; Temam, R.
25
1991
Une remarque sur l’unicité des solutions des équations de Navier-Stokes en dimension \(n\). Zbl 0107.07602
Foiaš, Ciprian
24
1961
On the large time Galerkin approximation of the Navier-Stokes equations. Zbl 0551.76021
Constantin, P.; Foiaş, Ciprian; Temam, R.
24
1984
Invariant para-closed subspaces. Zbl 0259.47005
Foiaş, Ciprian
24
1972
Linearization and normal form of the Navier-Stokes equations with potential forces. Zbl 0635.35075
Foias, C.; Saut, J. C.
23
1987
On intertwining dilations. VIII. Zbl 0454.47005
Arsene, Gr.; Ceausescu, Zoia; Foiaş, Ciprian
22
1980
On certain classes of power-bounded operators in Hilbert spaces. Zbl 0141.32201
Sz.-Nagy, Béla; Foiaş, Ciprian
22
1966
Robust control of infinite dimensional systems. Frequency domain methods. Zbl 0839.93003
Foias, Ciprian; Özbay, Hitay; Tannenbaum, Allen
22
1996
The algebraic approximation of attractors: The finite dimensional case. Zbl 0671.58024
Foias, C.; Temam, R.
22
1988
Sur l’interaction des petits et grands tourbillons dans des écoulements turbulents. (On the interaction of small and large eddies in turbulent flows). Zbl 0624.76072
Foias, Ciprian; Manley, Oscar; Temam, Roger
21
1987
Estimates for the energy cascade in three-dimensional turbulent flows. Zbl 1172.76319
Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger
21
2001
A spectral commutant lifting theorem. Zbl 0738.47006
Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen
21
1991
Sur certains théoremes d’interpolation. Zbl 0127.06803
Foiaš, Ciprian; Lions, J. L.
21
1961
Determining nodes for the Kuramoto-Sivashinsky equation. Zbl 0835.35067
Foias, Ciprian; Kukavica, Igor
21
1995
Properties which normal operators share with normal derivations and related operators. Zbl 0324.47018
Anderson, Joel; Foiaş, Ciprian
21
1975
Une application des distributions vectorielles à la théorie spectrale. Zbl 0095.09905
Foiaş, Ciprian
20
1960
Approximate inertial manifolds and effective viscosity in turbulent flows. Zbl 0732.76001
Foias, Ciprian; Manley, Oscar P.; Temam, Roger
20
1991
Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. Zbl 1100.35078
Dascaliuc, R.; Foias, C.; Jolly, M. S.
20
2005
Asymptotic integrations of Navier-Stokes equations with potential forces. I. Zbl 0739.35066
Foias, C.; Saut, J. C.
19
1991
Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations. (Propriétés des solutions statistiques des équations de Navier-Stokes tridimensionnelles dans le cas évolutif.) Zbl 1304.35486
Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger
19
2013
Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence. Zbl 0827.76033
Constantin, Peter; Foias, Ciprian; Manley, Oscar P.
19
1994
Some explicit formulae for the singular values of certain Hankel operators with factorizable symbol. Zbl 0659.47029
Foias, Ciprian; Tannenbaum, Allen; Zames, George
19
1988
Ensembles inertiels pour des équations d’évolution dissipatives. (Inertial sets for dissipative evolution equations). Zbl 0707.35017
Eden, Alp; Foias, Ciprian; Nicolaenko, Basil; Temam, Roger
19
1990
Sur les contractions de l’espace de Hilbert. IV. Zbl 0097.31703
Sz.-Nagy, Béla; Foiaş, Ciprian
18
1960
The local bifurcation of Ramsey equilibrium. Zbl 0829.90025
Becker, Robert A.; Foias, Ciprian
18
1994
Complete contractivity of maps associated with the Aluthge and Duggal transforms. Zbl 1066.47037
Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl
18
2003
On the Nehari problem for a certain class of \(L^{\infty}\)-functions appearing in control theory. Zbl 0635.47027
Foiaş, Ciprian; Tannenbaum, Allen
18
1987
A remark on two constructions of exponential attractors for \(\alpha\)-contractions. Zbl 0898.58035
Eden, A.; Foias, C.; Kalantarov, V.
17
1998
On the structure of intertwining operators. Zbl 0272.47010
Sz.-Nagy, Béla; Foiaş, Ciprian
17
1973
A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108
Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S.
16
2014
On the numerical algebraic approximation of global attractors. Zbl 0837.34052
Foias, C.; Jolly, M. S.
16
1995
Dilation theory and systems of simultaneous equations in the predual of an operator algebra. I. Zbl 0541.47007
Bercovici, H.; Foiaş, Ciprian; Pearcy, C.
16
1983
Exponential decay of the power spectrum of turbulence. Zbl 1081.35505
Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P.
16
1995
Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161
Dascaliuc, R.; Foias, C.; Jolly, M. S.
16
2010
A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103
Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S.
16
2012
Spectral capacities and decomposable operators. Zbl 0176.43801
Foiaş, Ciprian
15
1968
Analyse harmonique des opérateurs de l’espace de Hilbert. Zbl 0202.13102
Sz.-Nagy, Béla; Foiaş, C.
15
1970
A real variable restatement of Riemann’s hypothesis. Zbl 0569.46011
Bercovici, H.; Foiaş, Ciprian
15
1984
Hölder continuity for the inverse of Mañé’s projection. Zbl 0815.46016
Ben-Artzi, A.; Eden, A.; Foiaş, C.; Nicolaenko, B.
15
1993
Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085
Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J.
15
1997
On the helicity in 3D-periodic Navier-Stokes equations. I: The non-statistical case. Zbl 1109.76015
Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil
15
2007
Points of diffusion of linear operators and almost diffuse operators in spaces of continuous functions. Zbl 0132.09904
Foiaš, Ciprian; Singer, Ivan
14
1965
Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations. Zbl 1191.35204
Foias, Ciprian; Rosa, Ricardo; Temam, Roger
14
2010
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. Zbl 1420.35181
Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
12
2019
Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations. Zbl 1421.35243
Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M.
10
2019
Existence time for the 3D Navier-Stokes equations in a generalized Gevrey class. Zbl 1398.76032
Biswas, Animikh; Foias, Ciprian; Nicolaenko, Basil
1
2018
Navier and Stokes meet Poincaré and Dulac. Zbl 1457.35024
Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude
1
2018
On the attractor for the semi-dissipative Boussinesq equations. Zbl 1361.35138
Biswas, Animikh; Foias, Ciprian; Larios, Adam
14
2017
One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. Zbl 1379.35211
Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S.
3
2017
A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208
Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
35
2016
On the emergence of the Navier-Stokes-\(\alpha\) model for turbulent channel flows. Zbl 1352.35095
Foias, Ciprian; Tian, Jing; Zhang, Bingsheng
1
2016
Convergence of time averages of weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1357.35246
Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M.
10
2015
Time analyticity with higher norm estimates for the 2D Navier-Stokes equations. Zbl 1339.35211
Foias, Ciprian; Jolly, Michael S.; Lan, Ruomeng; Rupam, Rishika; Yang, Yong; Zhang, Bingsheng
6
2015
A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108
Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S.
16
2014
On the maximal space analyticity radius for the 3D Navier-Stokes equations and energy cascades. Zbl 1298.35133
Biswas, Animikh; Foias, Ciprian
7
2014
On whether zero is in the global attractor of the 2D Navier-Stokes equations. Zbl 1304.35485
Foias, Ciprian; Jolly, Michael S.; Yang, Yong; Zhang, Bingsheng
1
2014
Properties of time-dependent statistical solutions of the three-dimensional Navier-Stokes equations. (Propriétés des solutions statistiques des équations de Navier-Stokes tridimensionnelles dans le cas évolutif.) Zbl 1304.35486
Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger
19
2013
On single mode forcing of the 2D-NSE. Zbl 1285.35067
Foias, C.; Jolly, M. S.; Yang, M.
3
2013
A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103
Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S.
16
2012
Canonical models for bi-isometries. Zbl 1266.47025
Bercovici, H.; Douglas, R. G.; Foias, C.
9
2012
Contractions with polynomial characteristic functions. I: Geometric approach. Zbl 1284.47008
Foias, Ciprian; Sarkar, Jaydeb
4
2012
Resolutions of Hilbert modules and similarity. Zbl 1260.46018
Douglas, Ronald G.; Foias, Ciprian; Sarkar, Jaydeb
2
2012
Asymptotic integration of Navier-Stokes equations with potential forces. II: An explicit Poincaré-Dulac normal form. Zbl 1232.35115
Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude
10
2011
Spectral decomposability of rank-one perturbations of normal operators. Zbl 1203.47012
Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C.
6
2011
Harmonic analysis of operators on Hilbert space. 2nd revised and enlarged ed. Zbl 1234.47001
Sz.-Nagy, Béla; Foias, Ciprian; Bercovici, Hari; Kérchy, László
210
2010
Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161
Dascaliuc, R.; Foias, C.; Jolly, M. S.
16
2010
Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations. Zbl 1191.35204
Foias, Ciprian; Rosa, Ricardo; Temam, Roger
14
2010
A note on statistical solutions of the three-dimensional Navier-Stokes equations: the time-dependent case. Zbl 1186.35141
Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger
11
2010
A note on statistical solutions of the three-dimensional Navier-Stokes equations: The stationary case. (Note sur les solutions statistiques de équations de Navier-Stokes incompressibles en dimension trois d’espace: le cas stationnaire.) Zbl 1186.35142
Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger
7
2010
Confluent operator algebras and the closability property. Zbl 1190.47086
Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C.
6
2010
2-D turbulence for forcing in all scales. Zbl 1193.35123
Balci, N.; Foias, C.; Jolly, M. S.
4
2010
On universal relations in 2-D turbulence. Zbl 1193.35124
Balci, Nusret; Foias, Ciprian; Jolly, M. S.; Rosa, Ricardo
3
2010
Bi-isometries and commutant lifting. Zbl 1207.47009
Bercovici, Hari; Douglas, Ronald G.; Foias, Ciprian
1
2010
The normal form of the Navier-Stokes equations in suitable normed spaces. Zbl 1179.35212
Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed
10
2009
On the helicity in 3D-periodic Navier-Stokes equations. II: The statistical case. Zbl 1184.35239
Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil
8
2009
On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows. Zbl 1160.37419
Dascaliuc, R.; Foias, C.; Jolly, M. S.
6
2009
Operators with a compact imaginary part. Zbl 1230.47014
Foias, C.; Hamid, S.; Onica, C.; Pearcy, C.
1
2009
Navier-Stokes equations and turbulence. Paperback reprint of the hardback edition 2001. Zbl 1139.35001
Foias, C.; Rosa, R.; Manley, O.; Temam, R.
14
2008
On rank-one perturbations of normal operators. II. Zbl 1166.47013
Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C.
9
2008
Some specific mathematical constraints on 2D turbulence. Zbl 1158.76016
Dascaliuc, R.; Foias, C.; Jolly, M. S.
6
2008
On the hyperinvariant subspace problem. IV. Zbl 1153.47004
Bercovici, H.; Foias, C.; Pearcy, C.
3
2008
On the helicity in 3D-periodic Navier-Stokes equations. I: The non-statistical case. Zbl 1109.76015
Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil
15
2007
On rank-one perturbations of normal operators. Zbl 1134.47004
Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C.
11
2007
Strategic Ramsey equilibrium dynamics. Zbl 1151.91629
Becker, Robert A.; Foias, Ciprian
7
2007
Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane. Zbl 1144.81335
Dascaliuc, R.; Foias, C.; Jolly, M. S.
7
2007
Hyperinvariant subspaces for some subnormal operators. Zbl 1115.47003
Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C.
2
2007
On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140
Cheskidov, A.; Foias, C.
36
2006
On the solutions to the normal form of the Navier-Stokes equations. Zbl 1246.76019
Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed
14
2006
On the classification of multi-isometries. Zbl 1164.47301
Bercovici, H.; Douglas, R. G.; Foias, C.
10
2006
On the structure of the square of a \(C_0(1)\) operator. Zbl 1119.47010
Douglas, Ronald G.; Foias, Ciprian
6
2006
Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. Zbl 1100.35078
Dascaliuc, R.; Foias, C.; Jolly, M. S.
20
2005
Kolmogorov theory via finite-time averages. Zbl 1083.35091
Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R.
10
2005
Kraichnan turbulence via finite time averages. Zbl 1065.76101
Foias, C.; Jolly, M. S.; Manley, O. P.
9
2005
On quasinilpotent operators. III. Zbl 1106.47008
Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl
8
2005
On the hyperinvariant subspace problem. Zbl 1066.47004
Foias, Ciprian; Pearcy, Carl
4
2005
On the behavior of the Lorenz equation backward in time. Zbl 1068.34044
Foias, C.; Jolly, M. S.
2
2005
On the hyperinvariant subspace problem. III. Zbl 1068.47008
Foias, C.; Hamid, S.; Onica, C.; Pearcy, C.
2
2005
Operators that admit a moment sequence. Zbl 1079.47023
Foias, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl
1
2005
On quasinilpotent operators. II. Zbl 1096.47008
Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl
7
2004
Complete contractivity of maps associated with the Aluthge and Duggal transforms. Zbl 1066.47037
Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl
18
2003
On the Landau–Lifschitz degrees of freedom in 2-D turbulence. Zbl 1028.76014
Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.
5
2003
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. Zbl 0995.35051
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
187
2002
Energy dissipation in body-forced turbulence. Zbl 1029.76025
Doering, Charles R.; Foias, Ciprian
56
2002
Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. Zbl 1158.76327
Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.
29
2002
Relaxation of metric constrained interpolation and a new lifting theorem. Zbl 1060.47021
Foias, C.; Frazho, A. E.; Kaashoek, M. A.
7
2002
Nevanlinna-Pick interpolation of attractors. Zbl 1015.37046
Foias, C.; Jolly, M. S.; Li, W.-S.
3
2002
Navier-Stokes equations and turbulence. Zbl 0994.35002
Foias, C.; Rosa, R.; Manley, O.; Temam, R.
297
2001
The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
165
2001
Estimates for the energy cascade in three-dimensional turbulent flows. Zbl 1172.76319
Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger
21
2001
Cascade of energy in turbulent flows. Zbl 0986.35089
Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger
9
2001
The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012
Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S.
8
2001
On the non-homogeneous stationary Kuramoto-Sivashinsky equation. Zbl 0976.35062
Cheskidov, A.; Foias, C.
5
2001
The general commutant extension problem. Zbl 1239.47012
Foias, Ciprian
2
2001
A weighted version of almost commutant lifting. Zbl 1030.47005
Foias, C.; Frazho, A. E.; Kaashoek, M. A.
1
2001
Recent advances in operator theory and related topics. The Béla Szőkefalvi-Nagy memorial volume. Proceedings of the memorial conference, Szeged, Hungary, August 2–6, 1999. Zbl 0971.00017
1
2001
Optimization and chaos. Ch. 3-7, 9 reprints from J. Econ. Theory 4, No 5 (1994). Zbl 0980.90001
7
2000
A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
107
1999
The Camassa-Holm equations and turbulence. Zbl 1194.76069
Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S.
88
1999
Weighted commutant lifting. Zbl 0954.47018
Biswas, A.; Foias, C.; Frazho, A. E.
11
1999
Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525
Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S.
136
1998
Metric constrained interpolation, commutant lifting and systems. Zbl 0923.47009
Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A.
41
1998
A remark on two constructions of exponential attractors for \(\alpha\)-contractions. Zbl 0898.58035
Eden, A.; Foias, C.; Kalantarov, V.
17
1998
Implicit programming and the invariant manifold for Ramsey equilibria. Zbl 0907.90053
Becker, Robert A.; Foias, Ciprian
5
1998
On skew Toeplitz operators. II. Zbl 0915.47021
Bercovici, H.; Foias, C.; Tannenbaum, A.
4
1998
On the Zorn spaces in Beurling’s approach to the Riemann hypothesis. Zbl 0958.11062
Bercovici, H.; Foias, C.
1
1998
The maximum principle for the three chains completion problem. Zbl 0901.47008
Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A.
1
1998
What do the Navier-Stokes equations tell us about turbulence? Zbl 0890.76030
Foias, Ciprian
26
1997
Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085
Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J.
15
1997
A time-variant version of the commutant lifting theorem and nonstationary interpolation problems. Zbl 0897.47010
Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A.
5
1997
Parametrization of all solutions of the three chains completion problem. Zbl 0896.47011
Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A.
4
1997
Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034
Foias, C.; Olson, E.
32
1996
Robust control of infinite dimensional systems. Frequency domain methods. Zbl 0839.93003
Foias, Ciprian; Özbay, Hitay; Tannenbaum, Allen
22
1996
Discrete time-variant interpolation as classical interpolation with an operator argument. Zbl 0861.47011
Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A.
8
1996
The structured singular value for linear input/output operators. Zbl 0864.93040
Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen
7
1996
Localization of attractors by their analytic properties. Zbl 0905.34048
Foias, C.; Jolly, M. S.; Kukavica, I.
4
1996
Determining nodes for the Kuramoto-Sivashinsky equation. Zbl 0835.35067
Foias, Ciprian; Kukavica, Igor
21
1995
On the numerical algebraic approximation of global attractors. Zbl 0837.34052
Foias, C.; Jolly, M. S.
16
1995
Exponential decay of the power spectrum of turbulence. Zbl 1081.35505
Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P.
16
1995
Constructing the Schur contraction in the commutant lifting theorem. Zbl 0846.47003
Foias, Ciprian; Frazho, Arthur E.
2
1995
On \(H^ 2\) minimization for the Carathéodory-Schur interpolation problem. Zbl 0829.30023
Foias, C.; Frazho, A. E.; Li, W. S.
2
1995
On the extension of intertwining operators. Zbl 0843.47003
Foias, Ciprian
1
1995
On the structured singular value for operators on Hilbert space. Zbl 0821.93027
Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen
1
1995
Exponential attractors for dissipative evolution equations. Zbl 0842.58056
Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R.
227
1994
...and 285 more Documents
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Cited by 4,450 Authors

125 Foiaş, Ciprian Ilie
99 Titi, Edriss Saleh
70 Temam, Roger Meyer
45 Popescu, Gelu
40 Ko, Eungil
39 Jolly, Michael S.
39 Robinson, James Cooper
32 Miranville, Alain M.
30 He, Yinnian
30 Kukavica, Igor
29 Bercovici, Hari
28 Ball, Joseph Anthony
27 Constantin, Peter
27 Frazho, Arthur E.
27 Holm, Darryl D.
27 Rebholz, Leo G.
27 Sarkar, Jaydeb
26 Caraballo Garrido, Tomás
25 Tannenbaum, Allen Robert
23 Guo, Boling
23 Pearcy, Carl Mark Jr.
22 Chueshov, Igor’ Dmitrievich
22 Zelik, Sergey V.
21 Jung, Il Bong
21 Wu, Peiyuan
19 Gibbon, John D.
19 Timotin, Dan
18 Berselli, Luigi Carlo
18 Biswas, Animikh
18 Grujić, Zoran
18 Hoang, Luan Thach
18 Wang, Xiaoming
17 Agler, Jim
17 Doering, Charles Rogers
17 Vicol, Vlad C.
17 Zhao, Caidi
16 Helton, John William
16 Kaashoek, Marinus Adriaan
16 Layton, William J.
16 Nicolaenko, Basil
15 Allahverdiev, Bilender Paşaoğlu
15 Duan, Jinqiao
15 Hou, Yanren
15 Langa, Jose’ Antonio
15 Li, Kaitai
15 Suciu, Laurian
14 Danca, Marius-Florin
14 Jørgensen, Palle E. T.
14 Kalantarov, Varga K.
14 Łukaszewicz, Grzegorz
14 Olson, Eric J.
14 Özbay, Hitay
14 Wang, Shouhong
14 Young, Nicholas John
13 Bolotnikov, Vladimir
13 Cheskidov, Alexey
13 Dascaliuc, Radu
13 Duggal, Bhagwati Prashad
13 Gunzburger, Max D.
13 Herrero, Domingo Antonio
13 Lee, Jieun
13 Levan, Nhan
13 Rosa, Ricardo M. S.
13 Sell, George Roger
13 Tian, Lixin
12 Fuhrmann, Paul A.
12 Gu, Caixing
12 Ilyin, Alexei A.
12 Jung, Sungeun
12 Larios, Adam
12 Lasiecka, Irena
12 Manley, Oscar P.
12 Peller, Vladimir Vsevolodovich
12 Razafimandimby, Paul André
12 Real Anguas, José
12 Stochel, Jan
12 Sun, Chunyou
12 Valero, José
11 Chae, Dongho
11 Gau, Hwa-Long
11 Ghidaglia, Jean-Michel
11 Grasselli, Maurizio
11 Mbekhta, Mostafa
11 Pata, Vittorino
11 Tachim Medjo, Theodore
11 Yakubovich, Dmitry V.
10 Arov, Damir Zyamovich
10 Cung The Anh
10 Debussche, Arnaud
10 Deugoue, Gabriel
10 Douglas, Ronald George
10 Farhat, Aseel
10 Glatt-Holtz, Nathan E.
10 Gohberg, Israel
10 Hadwin, Donald W.
10 Kloeden, Peter Eris
10 Kubrusly, Carlos S.
10 Lunasin, Evelyn M.
10 Malamud, Mark M.
10 Martin, Robert T. W.
...and 4,350 more Authors
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Cited in 493 Serials

378 Journal of Mathematical Analysis and Applications
256 Journal of Functional Analysis
186 Journal of Differential Equations
184 Integral Equations and Operator Theory
174 Proceedings of the American Mathematical Society
129 Physica D
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104 Transactions of the American Mathematical Society
100 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
75 Journal of Dynamics and Differential Equations
71 Communications in Mathematical Physics
65 Journal of Mathematical Physics
57 Nonlinear Analysis. Theory, Methods & Applications
54 Applied Mathematics Letters
52 Systems & Control Letters
49 Computer Methods in Applied Mechanics and Engineering
49 Journal of Computational Physics
49 Journal of Mathematical Fluid Mechanics
47 Complex Analysis and Operator Theory
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40 Journal of Fluid Mechanics
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36 Advances in Mathematics
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34 Discrete and Continuous Dynamical Systems
32 Archive for Rational Mechanics and Analysis
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30 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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29 Journal of Statistical Physics
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28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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22 Bulletin of the American Mathematical Society
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12 Monatshefte für Mathematik
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12 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Applications of Mathematics
12 Bulletin of the American Mathematical Society. New Series
12 Science China. Mathematics
11 Physics Letters. A
11 Archiv der Mathematik
11 Journal of Mathematical Economics
11 Acta Mathematicae Applicatae Sinica. English Series
11 Numerical Methods for Partial Differential Equations
11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
11 Bulletin des Sciences Mathématiques
11 Communications in Nonlinear Science and Numerical Simulation
11 Stochastics and Dynamics
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