Edit Profile (opens in new tab) Foiaş, Ciprian Ilie Compute Distance To: Compute Author ID: foias.ciprian Published as: Foiaş, Ciprian; Foias, Ciprian; Foias, C.; Foiaš, Ciprian; Foiaş, C.; Foias, Cyprian; Foiaş, C more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 493 Publications since 1954, including 15 Books 5 Contributions as Editor · 2 Further Contributions Biographic References: 5 Publications Co-Authors: 121 Co-Authors with 414 Joint Publications 3,540 Co-Co-Authors all top 5 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 Dallas 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 42 more Co-Authors all top 5 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 all top 5 Fields 205 Operator theory (47-XX) 123 Partial differential equations (35-XX) 98 Fluid mechanics (76-XX) 44 Dynamical systems and ergodic theory (37-XX) 42 Functional analysis (46-XX) 33 Systems theory; control (93-XX) 17 Functions of a complex variable (30-XX) 15 Ordinary differential equations (34-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Numerical analysis (65-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 General and overarching topics; collections (00-XX) 7 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 5 History and biography (01-XX) 4 Geophysics (86-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 385 Publications have been cited 8,606 times in 5,031 Documents Cited by ▼ Year ▼ Harmonic analysis of operators on Hilbert space. Zbl 0201.45003Sz.-Nagy, Béla; Foiaş, Ciprian 679 1970 Navier-Stokes equations. Zbl 0687.35071Constantin, Peter; Foias, Ciprian 584 1988 Navier-Stokes equations and turbulence. Zbl 0994.35002Foias, C.; Rosa, R.; Manley, O.; Temam, R. 302 2001 Inertial manifolds for nonlinear evolutionary equations. Zbl 0643.58004Foias, Ciprian; Sell, George R.; Temam, Roger 270 1988 Gevrey class regularity for the solutions of the Navier-Stokes equations. Zbl 0702.35203Foias, C.; Temam, R. 259 1989 Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations. Zbl 0454.35073Foiaş, Ciprian; Temam, R. 255 1979 Exponential attractors for dissipative evolution equations. Zbl 0842.58056Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. 230 1994 Harmonic analysis of operators on Hilbert space. 2nd revised and enlarged ed. Zbl 1234.47001Sz.-Nagy, Béla; Foias, Ciprian; Bercovici, Hari; Kérchy, László 219 2010 Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. 200 1989 Structure of the set of stationary solutions of the Navier Stokes equations. Zbl 0335.35077Foiaş, Ciprian; Temam, R. 200 1977 The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. Zbl 0995.35051Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 187 2002 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 166 2001 The commutant lifting approach to interpolation problems. Zbl 0718.47010Foias, Ciprian; Frazho, Arthur E. 156 1990 Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 136 1998 Theory of generalized spectral operators. Zbl 0189.44201Colojoară, Ion; Foiaş, Ciprian 129 1968 Modelling of the interaction of small and large eddies in two dimensional turbulent flows. Zbl 0663.76054Foias, C.; Manley, O.; Temam, R. 125 1988 Attractors for the Bénard problem: Existence and physical bounds on their fractal dimension. Zbl 0646.76098Foias, C.; Manley, O.; Temam, R. 115 1987 Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2. Zbl 0176.54103Foiaš, Ciprian; Prodi, G. 114 1968 Attractors representing turbulent flows. Zbl 0567.35070Constantin, P.; Foiaş, Ciprian; Temam, R. 112 1985 A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Zbl 1147.76357Chen, 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 0157.43201Sz.-Nagy, Béla; Foiaş, Ciprian 105 1967 Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension. Zbl 0694.35028Foias, C.; Nicolaenko, B.; Sell, G. R.; Temam, R. 92 1988 The Camassa-Holm equations and turbulence. Zbl 1194.76069Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 88 1999 Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I. Zbl 0608.47005Apostol, C.; Bercovici, H.; Foias, C.; Pearcy, C. 87 1985 Global Lyapunov exponents, Kaplan-Yorke formulas and the dimension of the attractors for 2D Navier-Stokes equations. Zbl 0582.35092Constantin, P.; Foiaş, Ciprian 87 1985 Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053Foias, Ciprian; Sell, George R.; Titi, Edriss S. 86 1989 Remarques sur les équations de Navier-Stokes stationnaires et les phénomènes successifs de bifurcation. Zbl 0384.35047Foiaş, Ciprian; Temam, R. 82 1978 Asymptotic analysis of the Navier-Stokes equations. Zbl 0584.35007Foiaş, Ciprian; Manley, O. P.; Temam, R.; Treve, Y. M. 78 1983 Determining modes and fractal dimension of turbulent flows. Zbl 0607.76054Constantin, P.; Foias, C.; Manley, O. P.; Temam, R. 75 1985 On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030Constantin, P.; Foias, C.; Temam, R. 74 1988 Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078Foias, Ciprian; Titi, Edriss S. 69 1991 Determination of the solutions of the Navier-Stokes equations by a set of nodal values. Zbl 0563.35058Foiaş, Ciprian; Temam, Roger 67 1984 Energy dissipation in body-forced turbulence. Zbl 1029.76025Doering, Charles R.; Foias, Ciprian 57 2002 Solutions statistiques homogenes des équations de Navier-Stokes. Zbl 0406.35053Foiaş, Ciprian; Teman, R. 54 1979 Dilatation des commutants d’opérateurs. Zbl 0173.16503Sz.-Nagy, Béla; Foiaš, Ciprian 50 1968 Asymptotic behavior, as \(t\to +\infty\) of solutions of Navier-Stokes equations and nonlinear spectral manifolds. Zbl 0565.35087Foiaş, Ciprian; Saut, J. C. 47 1984 Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R. 47 1989 Statistical study of Navier-Stokes equations. II. Zbl 0283.76018Foiaş, Ciprian 46 1973 Metric constrained interpolation, commutant lifting and systems. Zbl 0923.47009Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A. 43 1998 Statistical study of Navier-Stokes equations. I. Zbl 0283.76017Foiaş, Ciprian 39 1973 Spectral maximal spaces and decomposable operators in Banach space. Zbl 0176.43802Foiaş, Ciprian 39 1963 A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. 39 2016 On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140Cheskidov, A.; Foias, C. 36 2006 New a priori estimates for Navier-Stokes equations in dimension 3. Zbl 0472.35070Foiaş, Ciprian; Guillopé, Colette; Témam, Roger 33 1981 Asymptotic numerical analysis for the Navier-Stokes equations. Zbl 0555.76030Foiaş, Ciprian; Temam, R. 33 1983 Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034Foias, C.; Olson, E. 32 1996 Some results on non-quasitriangular operators. IV. Zbl 0264.47007Apostol, Constantin; Foiaş, Ciprian; Voiculescu, Dan 32 1973 A characterization of Ramsey equilibrium. Zbl 0612.90015Becker, Robert A.; Foias, Ciprian 31 1987 On the \(H^{\infty}\)-optimal sensitivity problem for systems with delays. Zbl 0631.93020Foias, Ciprian; Tannenbaum, Allen; Zames, George 30 1987 Dual algebras with applications to invariant subspaces and dilation theory. Zbl 0569.47007Bercovici, Hari; Foiaş, Ciprian; Pearcy, Carl 30 1985 Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. Zbl 1158.76327Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 29 2002 Variétés inertielles des équations différentielles dissipatives. (Inertial manifolds for dissipative differential equations). Zbl 0591.35062Foiaş, Ciprian; Sell, George R.; Témam, Roger 29 1985 Weighted sensitivity minimization for delay systems. Zbl 0631.93019Foias, Ciprian; Tannenbaum, Allen; Zames, George 28 1986 Sur les solutions statistiques des équations de Navier-Stokes. Zbl 0344.76015Foiaş, Ciprian; Prodi, G. 27 1976 Dissipativity of numerical schemes. Zbl 0734.65080Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 27 1991 What do the Navier-Stokes equations tell us about turbulence? Zbl 0890.76030Foias, Ciprian 26 1997 Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Zbl 0102.32302Foiaš, Ciprian; Singer, Ivan 26 1960 On the large time Galerkin approximation of the Navier-Stokes equations. Zbl 0551.76021Constantin, P.; Foiaş, Ciprian; Temam, R. 25 1984 Local and global Lyapunov exponents. Zbl 0718.34080Eden, A.; Foias, C.; Temam, R. 25 1991 Invariant para-closed subspaces. Zbl 0259.47005Foiaş, Ciprian 24 1972 Une remarque sur l’unicité des solutions des équations de Navier-Stokes en dimension \(n\). Zbl 0107.07602Foiaš, Ciprian 24 1961 Linearization and normal form of the Navier-Stokes equations with potential forces. Zbl 0635.35075Foias, C.; Saut, J. C. 23 1987 Robust control of infinite dimensional systems. Frequency domain methods. Zbl 0839.93003Foias, Ciprian; Özbay, Hitay; Tannenbaum, Allen 22 1996 On certain classes of power-bounded operators in Hilbert spaces. Zbl 0141.32201Sz.-Nagy, Béla; Foiaş, Ciprian 22 1966 The algebraic approximation of attractors: The finite dimensional case. Zbl 0671.58024Foias, C.; Temam, R. 22 1988 On intertwining dilations. VIII. Zbl 0454.47005Arsene, Gr.; Ceausescu, Zoia; Foiaş, Ciprian 22 1980 Estimates for the energy cascade in three-dimensional turbulent flows. Zbl 1172.76319Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger 21 2001 Determining nodes for the Kuramoto-Sivashinsky equation. Zbl 0835.35067Foias, Ciprian; Kukavica, Igor 21 1995 Une application des distributions vectorielles à la théorie spectrale. Zbl 0095.09905Foiaş, Ciprian 21 1960 Sur certains théoremes d’interpolation. Zbl 0127.06803Foiaš, Ciprian; Lions, J. L. 21 1961 Sur l’interaction des petits et grands tourbillons dans des écoulements turbulents. (On the interaction of small and large eddies in turbulent flows). Zbl 0624.76072Foias, Ciprian; Manley, Oscar; Temam, Roger 21 1987 A spectral commutant lifting theorem. Zbl 0738.47006Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen 21 1991 Properties which normal operators share with normal derivations and related operators. Zbl 0324.47018Anderson, Joel; Foiaş, Ciprian 21 1975 Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. Zbl 1100.35078Dascaliuc, R.; Foias, C.; Jolly, M. S. 21 2005 Complete contractivity of maps associated with the Aluthge and Duggal transforms. Zbl 1066.47037Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl 20 2003 Approximate inertial manifolds and effective viscosity in turbulent flows. Zbl 0732.76001Foias, Ciprian; Manley, Oscar P.; Temam, Roger 20 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 1304.35486Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger 20 2013 Effects of the forcing function spectrum on the energy spectrum in 2-D turbulence. Zbl 0827.76033Constantin, Peter; Foias, Ciprian; Manley, Oscar P. 19 1994 Some explicit formulae for the singular values of certain Hankel operators with factorizable symbol. Zbl 0659.47029Foias, Ciprian; Tannenbaum, Allen; Zames, George 19 1988 Asymptotic integrations of Navier-Stokes equations with potential forces. I. Zbl 0739.35066Foias, C.; Saut, J. C. 19 1991 Ensembles inertiels pour des équations d’évolution dissipatives. (Inertial sets for dissipative evolution equations). Zbl 0707.35017Eden, Alp; Foias, Ciprian; Nicolaenko, Basil; Temam, Roger 19 1990 The local bifurcation of Ramsey equilibrium. Zbl 0829.90025Becker, Robert A.; Foias, Ciprian 18 1994 Sur les contractions de l’espace de Hilbert. IV. Zbl 0097.31703Sz.-Nagy, Béla; Foiaş, Ciprian 18 1960 On the Nehari problem for a certain class of \(L^{\infty}\)-functions appearing in control theory. Zbl 0635.47027Foiaş, Ciprian; Tannenbaum, Allen 18 1987 A remark on two constructions of exponential attractors for \(\alpha\)-contractions. Zbl 0898.58035Eden, A.; Foias, C.; Kalantarov, V. 17 1998 On the structure of intertwining operators. Zbl 0272.47010Sz.-Nagy, Béla; Foiaş, Ciprian 17 1973 Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161Dascaliuc, R.; Foias, C.; Jolly, M. S. 17 2010 A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S. 17 2012 A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S. 17 2014 Exponential decay of the power spectrum of turbulence. Zbl 1081.35505Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P. 16 1995 On the numerical algebraic approximation of global attractors. Zbl 0837.34052Foias, C.; Jolly, M. S. 16 1995 Dilation theory and systems of simultaneous equations in the predual of an operator algebra. I. Zbl 0541.47007Bercovici, H.; Foiaş, Ciprian; Pearcy, C. 16 1983 Hölder continuity for the inverse of Mañé’s projection. Zbl 0815.46016Ben-Artzi, A.; Eden, A.; Foiaş, C.; Nicolaenko, B. 15 1993 Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J. 15 1997 Analyse harmonique des opérateurs de l’espace de Hilbert. Zbl 0202.13102Sz.-Nagy, Béla; Foiaş, C. 15 1970 Spectral capacities and decomposable operators. Zbl 0176.43801Foiaş, Ciprian 15 1968 A real variable restatement of Riemann’s hypothesis. Zbl 0569.46011Bercovici, H.; Foiaş, Ciprian 15 1984 Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations. Zbl 1191.35204Foias, Ciprian; Rosa, Ricardo; Temam, Roger 15 2010 On the helicity in 3D-periodic Navier-Stokes equations. I: The non-statistical case. Zbl 1109.76015Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil 15 2007 Navier-Stokes equations and turbulence. Paperback reprint of the hardback edition 2001. Zbl 1139.35001Foias, C.; Rosa, R.; Manley, O.; Temam, R. 15 2008 Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. Zbl 1420.35181Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. 15 2019 Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations. Zbl 1421.35243Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M. 11 2019 Existence time for the 3D Navier-Stokes equations in a generalized Gevrey class. Zbl 1398.76032Biswas, Animikh; Foias, Ciprian; Nicolaenko, Basil 1 2018 Navier and Stokes meet Poincaré and Dulac. Zbl 1457.35024Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude 1 2018 On the attractor for the semi-dissipative Boussinesq equations. Zbl 1361.35138Biswas, Animikh; Foias, Ciprian; Larios, Adam 14 2017 One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. Zbl 1379.35211Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S. 4 2017 A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. 39 2016 On the emergence of the Navier-Stokes-\(\alpha\) model for turbulent channel flows. Zbl 1352.35095Foias, Ciprian; Tian, Jing; Zhang, Bingsheng 1 2016 Convergence of time averages of weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1357.35246Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M. 10 2015 Time analyticity with higher norm estimates for the 2D Navier-Stokes equations. Zbl 1339.35211Foias, 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 1301.35108Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S. 17 2014 On the maximal space analyticity radius for the 3D Navier-Stokes equations and energy cascades. Zbl 1298.35133Biswas, Animikh; Foias, Ciprian 8 2014 On whether zero is in the global attractor of the 2D Navier-Stokes equations. Zbl 1304.35485Foias, 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 1304.35486Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger 20 2013 On single mode forcing of the 2D-NSE. Zbl 1285.35067Foias, C.; Jolly, M. S.; Yang, M. 3 2013 A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S. 17 2012 Canonical models for bi-isometries. Zbl 1266.47025Bercovici, H.; Douglas, R. G.; Foias, C. 9 2012 Contractions with polynomial characteristic functions. I: Geometric approach. Zbl 1284.47008Foias, Ciprian; Sarkar, Jaydeb 4 2012 Resolutions of Hilbert modules and similarity. Zbl 1260.46018Douglas, 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 1232.35115Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude 10 2011 Spectral decomposability of rank-one perturbations of normal operators. Zbl 1203.47012Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C. 6 2011 Harmonic analysis of operators on Hilbert space. 2nd revised and enlarged ed. Zbl 1234.47001Sz.-Nagy, Béla; Foias, Ciprian; Bercovici, Hari; Kérchy, László 219 2010 Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161Dascaliuc, R.; Foias, C.; Jolly, M. S. 17 2010 Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations. Zbl 1191.35204Foias, Ciprian; Rosa, Ricardo; Temam, Roger 15 2010 A note on statistical solutions of the three-dimensional Navier-Stokes equations: the time-dependent case. Zbl 1186.35141Foias, 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 1186.35142Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger 7 2010 Confluent operator algebras and the closability property. Zbl 1190.47086Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C. 6 2010 2-D turbulence for forcing in all scales. Zbl 1193.35123Balci, N.; Foias, C.; Jolly, M. S. 4 2010 On universal relations in 2-D turbulence. Zbl 1193.35124Balci, Nusret; Foias, Ciprian; Jolly, M. S.; Rosa, Ricardo 3 2010 Bi-isometries and commutant lifting. Zbl 1207.47009Bercovici, Hari; Douglas, Ronald G.; Foias, Ciprian 1 2010 The normal form of the Navier-Stokes equations in suitable normed spaces. Zbl 1179.35212Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed 10 2009 On the helicity in 3D-periodic Navier-Stokes equations. II: The statistical case. Zbl 1184.35239Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil 8 2009 On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows. Zbl 1160.37419Dascaliuc, R.; Foias, C.; Jolly, M. S. 6 2009 Operators with a compact imaginary part. Zbl 1230.47014Foias, C.; Hamid, S.; Onica, C.; Pearcy, C. 1 2009 Navier-Stokes equations and turbulence. Paperback reprint of the hardback edition 2001. Zbl 1139.35001Foias, C.; Rosa, R.; Manley, O.; Temam, R. 15 2008 On rank-one perturbations of normal operators. II. Zbl 1166.47013Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C. 9 2008 Some specific mathematical constraints on 2D turbulence. Zbl 1158.76016Dascaliuc, R.; Foias, C.; Jolly, M. S. 7 2008 On the hyperinvariant subspace problem. IV. Zbl 1153.47004Bercovici, H.; Foias, C.; Pearcy, C. 3 2008 On the helicity in 3D-periodic Navier-Stokes equations. I: The non-statistical case. Zbl 1109.76015Foias, Ciprian; Hoang, Luan; Nicolaenko, Basil 15 2007 On rank-one perturbations of normal operators. Zbl 1134.47004Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C. 11 2007 Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane. Zbl 1144.81335Dascaliuc, R.; Foias, C.; Jolly, M. S. 8 2007 Strategic Ramsey equilibrium dynamics. Zbl 1151.91629Becker, Robert A.; Foias, Ciprian 7 2007 Hyperinvariant subspaces for some subnormal operators. Zbl 1115.47003Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C. 2 2007 On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140Cheskidov, A.; Foias, C. 36 2006 On the solutions to the normal form of the Navier-Stokes equations. Zbl 1246.76019Foias, Ciprian; Hoang, Luan; Olson, Eric; Ziane, Mohammed 14 2006 On the classification of multi-isometries. Zbl 1164.47301Bercovici, H.; Douglas, R. G.; Foias, C. 11 2006 On the structure of the square of a \(C_0(1)\) operator. Zbl 1119.47010Douglas, Ronald G.; Foias, Ciprian 6 2006 Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. Zbl 1100.35078Dascaliuc, R.; Foias, C.; Jolly, M. S. 21 2005 Kolmogorov theory via finite-time averages. Zbl 1083.35091Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R. 10 2005 Kraichnan turbulence via finite time averages. Zbl 1065.76101Foias, C.; Jolly, M. S.; Manley, O. P. 9 2005 On quasinilpotent operators. III. Zbl 1106.47008Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl 8 2005 On the hyperinvariant subspace problem. Zbl 1066.47004Foias, Ciprian; Pearcy, Carl 4 2005 On the hyperinvariant subspace problem. III. Zbl 1068.47008Foias, C.; Hamid, S.; Onica, C.; Pearcy, C. 2 2005 On the behavior of the Lorenz equation backward in time. Zbl 1068.34044Foias, C.; Jolly, M. S. 2 2005 Operators that admit a moment sequence. Zbl 1079.47023Foias, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl 1 2005 On quasinilpotent operators. II. Zbl 1096.47008Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl 7 2004 Complete contractivity of maps associated with the Aluthge and Duggal transforms. Zbl 1066.47037Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl 20 2003 On the Landau–Lifschitz degrees of freedom in 2-D turbulence. Zbl 1028.76014Foias, 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 0995.35051Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 187 2002 Energy dissipation in body-forced turbulence. Zbl 1029.76025Doering, Charles R.; Foias, Ciprian 57 2002 Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. Zbl 1158.76327Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 29 2002 Relaxation of metric constrained interpolation and a new lifting theorem. Zbl 1060.47021Foias, C.; Frazho, A. E.; Kaashoek, M. A. 7 2002 Nevanlinna-Pick interpolation of attractors. Zbl 1015.37046Foias, C.; Jolly, M. S.; Li, W.-S. 3 2002 Navier-Stokes equations and turbulence. Zbl 0994.35002Foias, C.; Rosa, R.; Manley, O.; Temam, R. 302 2001 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 166 2001 Estimates for the energy cascade in three-dimensional turbulent flows. Zbl 1172.76319Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger 21 2001 Cascade of energy in turbulent flows. Zbl 0986.35089Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger 9 2001 The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S. 9 2001 On the non-homogeneous stationary Kuramoto-Sivashinsky equation. Zbl 0976.35062Cheskidov, A.; Foias, C. 5 2001 The general commutant extension problem. Zbl 1239.47012Foias, Ciprian 2 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 A weighted version of almost commutant lifting. Zbl 1030.47005Foias, C.; Frazho, A. E.; Kaashoek, M. A. 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 1147.76357Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 107 1999 The Camassa-Holm equations and turbulence. Zbl 1194.76069Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 88 1999 Weighted commutant lifting. Zbl 0954.47018Biswas, A.; Foias, C.; Frazho, A. E. 11 1999 Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Zbl 1042.76525Chen, Shiyi; Foias, Ciprian; Holm, Darryl D.; Olson, Eric; Titi, Edriss S. 136 1998 Metric constrained interpolation, commutant lifting and systems. Zbl 0923.47009Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A. 43 1998 A remark on two constructions of exponential attractors for \(\alpha\)-contractions. Zbl 0898.58035Eden, A.; Foias, C.; Kalantarov, V. 17 1998 Implicit programming and the invariant manifold for Ramsey equilibria. Zbl 0907.90053Becker, Robert A.; Foias, Ciprian 5 1998 On skew Toeplitz operators. II. Zbl 0915.47021Bercovici, H.; Foias, C.; Tannenbaum, A. 4 1998 On the Zorn spaces in Beurling’s approach to the Riemann hypothesis. Zbl 0958.11062Bercovici, H.; Foias, C. 1 1998 The maximum principle for the three chains completion problem. Zbl 0901.47008Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A. 1 1998 What do the Navier-Stokes equations tell us about turbulence? Zbl 0890.76030Foias, Ciprian 26 1997 Dirichlet quotients and 2D periodic Navier-Stokes equations. Zbl 0874.35085Constantin, Peter; Foias, Ciprian; Kukavica, Igor; Majda, Andrew J. 15 1997 A time-variant version of the commutant lifting theorem and nonstationary interpolation problems. Zbl 0897.47010Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A. 5 1997 Parametrization of all solutions of the three chains completion problem. Zbl 0896.47011Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A. 4 1997 Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034Foias, C.; Olson, E. 32 1996 Robust control of infinite dimensional systems. Frequency domain methods. Zbl 0839.93003Foias, Ciprian; Özbay, Hitay; Tannenbaum, Allen 22 1996 Discrete time-variant interpolation as classical interpolation with an operator argument. Zbl 0861.47011Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A. 8 1996 The structured singular value for linear input/output operators. Zbl 0864.93040Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen 7 1996 Localization of attractors by their analytic properties. Zbl 0905.34048Foias, C.; Jolly, M. S.; Kukavica, I. 4 1996 Determining nodes for the Kuramoto-Sivashinsky equation. Zbl 0835.35067Foias, Ciprian; Kukavica, Igor 21 1995 Exponential decay of the power spectrum of turbulence. Zbl 1081.35505Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P. 16 1995 On the numerical algebraic approximation of global attractors. Zbl 0837.34052Foias, C.; Jolly, M. S. 16 1995 On \(H^ 2\) minimization for the Carathéodory-Schur interpolation problem. Zbl 0829.30023Foias, C.; Frazho, A. E.; Li, W. S. 2 1995 Constructing the Schur contraction in the commutant lifting theorem. Zbl 0846.47003Foias, Ciprian; Frazho, Arthur E. 2 1995 On the extension of intertwining operators. Zbl 0843.47003Foias, Ciprian 1 1995 On the structured singular value for operators on Hilbert space. Zbl 0821.93027Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen 1 1995 Exponential attractors for dissipative evolution equations. Zbl 0842.58056Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. 230 1994 ...and 285 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,511 Authors 125 Foiaş, Ciprian Ilie 99 Titi, Edriss Saleh 70 Temam, Roger Meyer 46 Popescu, Gelu 41 Ko, Eungil 40 Jolly, Michael S. 39 Robinson, James Cooper 32 He, Yinnian 32 Miranville, Alain M. 31 Kukavica, Igor 29 Ball, Joseph Anthony 29 Bercovici, Hari 28 Frazho, Arthur E. 27 Constantin, Peter 27 Holm, Darryl Dallas 27 Rebholz, Leo G. 27 Sarkar, Jaydeb 26 Caraballo Garrido, Tomás 25 Tannenbaum, Allen Robert 24 Guo, Boling 23 Pearcy, Carl Mark Jr. 23 Zelik, Sergey V. 22 Chueshov, Igor’ Dmitrievich 21 Jung, Il Bong 21 Wu, Peiyuan 19 Biswas, Animikh 19 Gibbon, John D. 19 Timotin, Dan 18 Berselli, Luigi Carlo 18 Grujić, Zoran 18 Hoang, Luan Thach 18 Wang, Xiaoming 18 Zhao, Caidi 17 Agler, Jim 17 Doering, Charles Rogers 17 Kaashoek, Marinus Adriaan 17 Vicol, Vlad C. 16 Helton, John William 16 Layton, William J. 16 Nicolaenko, Basil 15 Allahverdiev, Bilender Paşaoğlu 15 Duan, Jinqiao 15 Hou, Yanren 15 Jørgensen, Palle E. 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S. 13 Sell, George Roger 13 Sun, Chunyou 13 Tian, Lixin 12 Fuhrmann, Paul A. 12 Ilyin, Alexei A. 12 Jung, Sungeun 12 Lasiecka, Irena 12 Manley, Oscar P. 12 Peller, Vladimir Vsevolodovich 12 Razafimandimby, Paul André 12 Real Anguas, José 12 Stochel, Jan 12 Tachim Medjo, Theodore 12 Valero, José 11 Chae, Dongho 11 Gau, Hwa-Long 11 Ghidaglia, Jean-Michel 11 Grasselli, Maurizio 11 Martinez, Vincent R. 11 Mbekhta, Mostafa 11 Pata, Vittorino 11 Yakubovich, Dmitry V. 10 Alpay, Daniel Aron 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 Guermond, Jean-Luc 10 Hadwin, Donald W. 10 Kloeden, Peter Eris 10 Kubrusly, Carlos S. ...and 4,411 more Authors all top 5 Cited in 499 Serials 383 Journal of Mathematical Analysis and Applications 257 Journal of Functional Analysis 188 Journal of Differential Equations 186 Integral Equations and Operator Theory 174 Proceedings of the American Mathematical Society 129 Physica D 114 Linear Algebra and its Applications 104 Transactions of the American Mathematical Society 100 Nonlinear Analysis. 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