Edit Profile (opens in new tab) Foiaș, Ciprian (b. 1933 d. 2020) Co-Author Distance Author ID: foias.ciprian Published as: Foiaş, Ciprian; Foias, Ciprian; Foias, C.; Foiaš, Ciprian; Foiaş, C.; Foiaș, Ciprian; Foias, Cyprian; Foiaş, C more...less Further Spellings: Foias, Ciprian Ilie External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 495 Publications since 1954, including 15 Books and 1 Additional arXiv Preprint 5 Contributions as Editor · 2 Further Contributions Biographic References: 6 Publications Co-Authors: 122 Co-Authors with 416 Joint Publications 3,960 Co-Co-Authors all top 5 Co-Authors 79 single-authored 59 Temam, Roger Meyer 58 Szőkefalvi-Nagy, Béla 45 Bercovici, Hari 43 Tannenbaum, Allen Robert 41 Pearcy, Carl Mark Jr. 28 Frazho, Arthur E. 27 Jolly, Michael Summerfield 23 Manley, Oscar P. 21 Apostol, Constantin Gelu 16 Nicolaenko, Basil 15 Constantin, Peter 15 Titi, Edriss Saleh 14 Rosa, Ricardo M. S. 13 Douglas, Ronald George 13 Saut, Jean-Claude 13 Voiculescu, Dan-Virgil 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 7 Hoang, Luan Thach 6 Colojoară, Ion 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 Nicolescu, Miron 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 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 Davis, Martin David 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. ...and 43 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 Romîne 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 Communications on Pure and Applied Analysis 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 ...and 19 more Serials all top 5 Fields 206 Operator theory (47-XX) 124 Partial differential equations (35-XX) 99 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 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-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 388 Publications have been cited 9,704 times in 5,670 Documents Cited by ▼ Year ▼ Harmonic analysis of operators on Hilbert space. Zbl 0201.45003 Sz.-Nagy, Béla; Foiaş, Ciprian 753 1970 Navier-Stokes equations. Zbl 0687.35071 Constantin, Peter; Foias, Ciprian 697 1988 Navier-Stokes equations and turbulence. Zbl 0994.35002 Foias, C.; Rosa, R.; Manley, O.; Temam, R. 391 2001 Harmonic analysis of operators on Hilbert space. 2nd revised and enlarged ed. Zbl 1234.47001 Sz.-Nagy, Béla; Foias, Ciprian; Bercovici, Hari; Kérchy, László 304 2010 Inertial manifolds for nonlinear evolutionary equations. Zbl 0643.58004 Foias, Ciprian; Sell, George R.; Temam, Roger 300 1988 Gevrey class regularity for the solutions of the Navier-Stokes equations. Zbl 0702.35203 Foias, C.; Temam, R. 286 1989 Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations. Zbl 0454.35073 Foiaş, Ciprian; Temam, R. 275 1979 Exponential attractors for dissipative evolution equations. Zbl 0842.58056 Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. 260 1994 Structure of the set of stationary solutions of the Navier Stokes equations. Zbl 0335.35077 Foiaş, Ciprian; Temam, R. 221 1977 Integral manifolds and inertial manifolds for dissipative partial differential equations. Zbl 0683.58002 Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R. 219 1989 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. 205 2002 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022 Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 184 2001 The commutant lifting approach to interpolation problems. Zbl 0718.47010 Foias, Ciprian; Frazho, Arthur E. 180 1990 Theory of generalized spectral operators. Zbl 0189.44201 Colojoară, Ion; Foiaş, Ciprian 153 1968 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. 152 1998 Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2. Zbl 0176.54103 Foiaš, Ciprian; Prodi, G. 132 1968 Modelling of the interaction of small and large eddies in two dimensional turbulent flows. Zbl 0663.76054 Foias, C.; Manley, O.; Temam, R. 128 1988 Attractors for the Bénard problem: Existence and physical bounds on their fractal dimension. Zbl 0646.76098 Foias, C.; Manley, O.; Temam, R. 125 1987 Attractors representing turbulent flows. Zbl 0567.35070 Constantin, P.; Foiaş, Ciprian; Temam, R. 125 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. 116 1999 Analyse harmonique des opérateurs de l’espace de Hilbert. Zbl 0157.43201 Sz.-Nagy, Béla; Foiaş, Ciprian 115 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. 102 1988 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. 98 1985 The Camassa-Holm equations and turbulence. Zbl 1194.76069 Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 98 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 95 1985 Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053 Foias, Ciprian; Sell, George R.; Titi, Edriss S. 92 1989 Remarques sur les équations de Navier-Stokes stationnaires et les phénomènes successifs de bifurcation. Zbl 0384.35047 Foiaş, Ciprian; Temam, R. 91 1978 Asymptotic analysis of the Navier-Stokes equations. Zbl 0584.35007 Foiaş, Ciprian; Manley, O. P.; Temam, R.; Treve, Y. M. 82 1983 On the dimension of the attractors in two-dimensional turbulence. Zbl 0658.58030 Constantin, P.; Foias, C.; Temam, R. 78 1988 Determining modes and fractal dimension of turbulent flows. Zbl 0607.76054 Constantin, P.; Foias, C.; Manley, O. P.; Temam, R. 77 1985 Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078 Foias, Ciprian; Titi, Edriss S. 76 1991 Determination of the solutions of the Navier-Stokes equations by a set of nodal values. Zbl 0563.35058 Foiaş, Ciprian; Temam, Roger 72 1984 Solutions statistiques homogenes des équations de Navier-Stokes. Zbl 0406.35053 Foiaş, Ciprian; Teman, R. 64 1979 Energy dissipation in body-forced turbulence. Zbl 1029.76025 Doering, Charles R.; Foias, Ciprian 63 2002 Dilatation des commutants d’opérateurs. Zbl 0173.16503 Sz.-Nagy, Béla; Foiaš, Ciprian 51 1968 Statistical study of Navier-Stokes equations. II. Zbl 0283.76018 Foiaş, Ciprian 51 1973 Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024 Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R. 51 1989 Metric constrained interpolation, commutant lifting and systems. Zbl 0923.47009 Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A. 50 1998 On global attractors of the 3D Navier–Stokes equations. Zbl 1113.35140 Cheskidov, A.; Foias, C. 50 2006 Asymptotic behavior, as \(t\to +\infty\) of solutions of Navier-Stokes equations and nonlinear spectral manifolds. Zbl 0565.35087 Foiaş, Ciprian; Saut, J. C. 49 1984 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. 49 2016 Statistical study of Navier-Stokes equations. I. Zbl 0283.76017 Foiaş, Ciprian 48 1973 Spectral maximal spaces and decomposable operators in Banach space. Zbl 0176.43802 Foiaş, Ciprian 44 1963 New a priori estimates for Navier-Stokes equations in dimension 3. Zbl 0472.35070 Foiaş, Ciprian; Guillopé, Colette; Témam, Roger 39 1981 Asymptotic numerical analysis for the Navier-Stokes equations. Zbl 0555.76030 Foiaş, Ciprian; Temam, R. 38 1983 Some results on non-quasitriangular operators. IV. Zbl 0264.47007 Apostol, Constantin; Foiaş, Ciprian; Voiculescu, Dan 38 1973 Sur les solutions statistiques des équations de Navier-Stokes. Zbl 0344.76015 Foiaş, Ciprian; Prodi, G. 36 1976 Finite fractal dimension and Hölder-Lipschitz parametrization. Zbl 0887.54034 Foias, C.; Olson, E. 34 1996 Dual algebras with applications to invariant subspaces and dilation theory. Zbl 0569.47007 Bercovici, Hari; Foiaş, Ciprian; Pearcy, Carl 32 1985 Variétés inertielles des équations différentielles dissipatives. (Inertial manifolds for dissipative differential equations). Zbl 0591.35062 Foiaş, Ciprian; Sell, George R.; Témam, Roger 32 1985 A characterization of Ramsey equilibrium. Zbl 0612.90015 Becker, Robert A.; Foias, Ciprian 32 1987 On the \(H^{\infty}\)-optimal sensitivity problem for systems with delays. Zbl 0631.93020 Foias, Ciprian; Tannenbaum, Allen; Zames, George 30 1987 Robust control of infinite dimensional systems. Frequency domain methods. Zbl 0839.93003 Foias, Ciprian; Özbay, Hitay; Tannenbaum, Allen 30 1996 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. 30 2002 Complete contractivity of maps associated with the Aluthge and Duggal transforms. Zbl 1066.47037 Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl 29 2003 Weighted sensitivity minimization for delay systems. Zbl 0631.93019 Foias, Ciprian; Tannenbaum, Allen; Zames, George 28 1986 Une remarque sur l’unicité des solutions des équations de Navier-Stokes en dimension \(n\). Zbl 0107.07602 Foiaš, Ciprian 28 1961 Local and global Lyapunov exponents. Zbl 0718.34080 Eden, A.; Foias, C.; Temam, R. 28 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 28 2013 Dissipativity of numerical schemes. Zbl 0734.65080 Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 27 1991 What do the Navier-Stokes equations tell us about turbulence? Zbl 0890.76030 Foias, Ciprian 27 1997 Some remarks on the representation of linear operators in spaces of vector-valued continuous functions. Zbl 0102.32302 Foiaš, Ciprian; Singer, Ivan 26 1960 On the large time Galerkin approximation of the Navier-Stokes equations. Zbl 0551.76021 Constantin, P.; Foiaş, Ciprian; Temam, R. 25 1984 Invariant para-closed subspaces. Zbl 0259.47005 Foiaş, Ciprian 25 1972 Linearization and normal form of the Navier-Stokes equations with potential forces. Zbl 0635.35075 Foias, C.; Saut, J. C. 24 1987 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. 24 2019 Sur certains théoremes d’interpolation. Zbl 0127.06803 Foiaš, Ciprian; Lions, J. L. 23 1961 On certain classes of power-bounded operators in Hilbert spaces. Zbl 0141.32201 Sz.-Nagy, Béla; Foiaş, Ciprian 23 1966 Properties which normal operators share with normal derivations and related operators. Zbl 0324.47018 Anderson, Joel; Foiaş, Ciprian 23 1975 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. 23 2005 A spectral commutant lifting theorem. Zbl 0738.47006 Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen 23 1991 The algebraic approximation of attractors: The finite dimensional case. Zbl 0671.58024 Foias, C.; Temam, R. 22 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 22 1990 On intertwining dilations. VIII. Zbl 0454.47005 Arsene, Gr.; Ceausescu, Zoia; Foiaş, Ciprian 22 1980 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. 22 2014 Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations. Zbl 1421.35243 Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M. 22 2019 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 Determining nodes for the Kuramoto-Sivashinsky equation. Zbl 0835.35067 Foias, Ciprian; Kukavica, Igor 21 1995 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 Une application des distributions vectorielles à la théorie spectrale. Zbl 0095.09905 Foiaş, Ciprian 21 1960 Approximate inertial manifolds and effective viscosity in turbulent flows. Zbl 0732.76001 Foias, Ciprian; Manley, Oscar P.; Temam, Roger 21 1991 On the Nehari problem for a certain class of \(L^{\infty}\)-functions appearing in control theory. Zbl 0635.47027 Foiaş, Ciprian; Tannenbaum, Allen 20 1987 Navier-Stokes equations and turbulence. Paperback reprint of the hardback edition 2001. Zbl 1139.35001 Foias, C.; Rosa, R.; Manley, O.; Temam, R. 20 2008 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. 20 2012 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 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 Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161 Dascaliuc, R.; Foias, C.; Jolly, M. S. 19 2010 Asymptotic integrations of Navier-Stokes equations with potential forces. I. Zbl 0739.35066 Foias, C.; Saut, J. C. 19 1991 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 On the structure of intertwining operators. Zbl 0272.47010 Sz.-Nagy, Béla; Foiaş, Ciprian 18 1973 A remark on two constructions of exponential attractors for \(\alpha\)-contractions. Zbl 0898.58035 Eden, A.; Foias, C.; Kalantarov, V. 18 1998 On the attractor for the semi-dissipative Boussinesq equations. Zbl 1361.35138 Biswas, Animikh; Foias, Ciprian; Larios, Adam 18 2017 Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations. Zbl 1191.35204 Foias, Ciprian; Rosa, Ricardo; Temam, Roger 17 2010 On the numerical algebraic approximation of global attractors. Zbl 0837.34052 Foias, C.; Jolly, M. S. 17 1995 A simple proof of the generalized Lieb-Thirring inequalities in one-space dimension. Zbl 0792.46021 Eden, A.; Foias, C. 17 1991 Hölder continuity for the inverse of Mañé’s projection. Zbl 0815.46016 Ben-Artzi, A.; Eden, A.; Foiaş, C.; Nicolaenko, B. 17 1993 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. 17 2015 On the classification of multi-isometries. Zbl 1164.47301 Bercovici, H.; Douglas, R. G.; Foias, C. 16 2006 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 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. 24 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. 22 2019 Navier and Stokes meet Poincaré and Dulac. Zbl 1457.35024 Foias, Ciprian; Hoang, Luan; Saut, Jean-Claude 4 2018 Existence time for the 3D Navier-Stokes equations in a generalized Gevrey class. Zbl 1398.76032 Biswas, Animikh; Foias, Ciprian; Nicolaenko, Basil 1 2018 On the attractor for the semi-dissipative Boussinesq equations. Zbl 1361.35138 Biswas, Animikh; Foias, Ciprian; Larios, Adam 18 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. 5 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. 49 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. 17 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 8 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. 22 2014 On the maximal space analyticity radius for the 3D Navier-Stokes equations and energy cascades. Zbl 1298.35133 Biswas, Animikh; Foias, Ciprian 8 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 28 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. 20 2012 Canonical models for bi-isometries. Zbl 1266.47025 Bercovici, H.; Douglas, R. G.; Foias, C. 13 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 3 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. 9 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 304 2010 Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161 Dascaliuc, R.; Foias, C.; Jolly, M. S. 19 2010 Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations. Zbl 1191.35204 Foias, Ciprian; Rosa, Ricardo; Temam, Roger 17 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 16 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 12 2010 Confluent operator algebras and the closability property. Zbl 1190.47086 Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C. 7 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 3 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. 8 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. 20 2008 On rank-one perturbations of normal operators. II. Zbl 1166.47013 Foias, C.; Jung, I. B.; Ko, E.; Pearcy, C. 12 2008 Some specific mathematical constraints on 2D turbulence. Zbl 1158.76016 Dascaliuc, R.; Foias, C.; Jolly, M. S. 8 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. 15 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. 8 2007 Strategic Ramsey equilibrium dynamics. Zbl 1151.91629 Becker, Robert A.; Foias, Ciprian 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. 50 2006 On the classification of multi-isometries. Zbl 1164.47301 Bercovici, H.; Douglas, R. G.; Foias, C. 16 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 structure of the square of a \(C_0(1)\) operator. Zbl 1119.47010 Douglas, Ronald G.; Foias, Ciprian 7 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. 23 2005 Kolmogorov theory via finite-time averages. Zbl 1083.35091 Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R. 11 2005 On quasinilpotent operators. III. Zbl 1106.47008 Foiaş, Ciprian; Jung, Il Bong; Ko, Eungil; Pearcy, Carl 11 2005 Kraichnan turbulence via finite time averages. Zbl 1065.76101 Foias, C.; Jolly, M. S.; Manley, O. P. 9 2005 On the hyperinvariant subspace problem. Zbl 1066.47004 Foias, Ciprian; Pearcy, Carl 7 2005 On the behavior of the Lorenz equation backward in time. Zbl 1068.34044 Foias, C.; Jolly, M. S. 3 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 29 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. 205 2002 Energy dissipation in body-forced turbulence. Zbl 1029.76025 Doering, Charles R.; Foias, Ciprian 63 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. 30 2002 Relaxation of metric constrained interpolation and a new lifting theorem. Zbl 1060.47021 Foias, C.; Frazho, A. E.; Kaashoek, M. A. 8 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. 391 2001 The Navier-Stokes-alpha model of fluid turbulence. Zbl 1037.76022 Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S. 184 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 10 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. 9 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 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 1030.47005 Foias, 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 10 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. 116 1999 The Camassa-Holm equations and turbulence. Zbl 1194.76069 Chen, S.; Foias, C.; Holm, D. D.; Olson, E.; Titi, E. S.; Wynne, S. 98 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. 152 1998 Metric constrained interpolation, commutant lifting and systems. Zbl 0923.47009 Foias, C.; Frazho, A. E.; Gohberg, I.; Kaashoek, M. A. 50 1998 A remark on two constructions of exponential attractors for \(\alpha\)-contractions. Zbl 0898.58035 Eden, A.; Foias, C.; Kalantarov, V. 18 1998 On skew Toeplitz operators. II. Zbl 0915.47021 Bercovici, H.; Foias, C.; Tannenbaum, A. 6 1998 Implicit programming and the invariant manifold for Ramsey equilibria. Zbl 0907.90053 Becker, Robert A.; Foias, Ciprian 5 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 27 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. 34 1996 Robust control of infinite dimensional systems. Frequency domain methods. Zbl 0839.93003 Foias, Ciprian; Özbay, Hitay; Tannenbaum, Allen 30 1996 The structured singular value for linear input/output operators. Zbl 0864.93040 Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen 9 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 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. 17 1995 Exponential decay of the power spectrum of turbulence. Zbl 1081.35505 Bercovici, H.; Constantin, P.; Foias, C.; Manley, O. P. 16 1995 On \(H^ 2\) minimization for the Carathéodory-Schur interpolation problem. Zbl 0829.30023 Foias, C.; Frazho, A. E.; Li, W. S. 2 1995 Constructing the Schur contraction in the commutant lifting theorem. Zbl 0846.47003 Foias, Ciprian; Frazho, Arthur E. 2 1995 On the structured singular value for operators on Hilbert space. Zbl 0821.93027 Bercovici, Hari; Foias, Ciprian; Tannenbaum, Allen 1 1995 On the extension of intertwining operators. Zbl 0843.47003 Foias, Ciprian 1 1995 Exponential attractors for dissipative evolution equations. Zbl 0842.58056 Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. 260 1994 ...and 288 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,108 Authors 127 Foiaș, Ciprian 105 Titi, Edriss Saleh 72 Temam, Roger Meyer 50 Popescu, Gelu 44 Ko, Eungil 42 Jolly, Michael Summerfield 39 Robinson, James Cooper 38 Caraballo Garrido, Tomás 37 Ball, Joseph Anthony 35 Miranville, Alain M. 34 He, Yinnian 34 Kukavica, Igor 31 Bercovici, Hari 31 Sarkar, Jaydeb 30 Constantin, Peter 30 Frazho, Arthur E. 30 Holm, Darryl Dallas 30 Rebholz, Leo G. 29 Zelik, Sergey V. 28 Zhao, Caidi 25 Tannenbaum, Allen Robert 24 Guo, Boling 23 Biswas, Animikh 23 Pearcy, Carl Mark Jr. 22 Chueshov, Igor’ Dmitrievich 22 Gibbon, John D. 22 Wang, Xiaoming 22 Wu, Peiyuan 21 Jung, Il Bong 20 Berselli, Luigi Carlo 20 Hoang, Luan Thach 19 Kaashoek, Marinus Adriaan 19 Suciu, Laurian 19 Timotin, Dan 18 Allahverdiev, Bilender Paşaoğlu 18 Grujić, Zoran 17 Agler, Jim 17 Doering, Charles Rogers 17 Layton, William J. 17 Sun, Chunyou 17 Vicol, Vlad C. 16 Bolotnikov, Vladimir 16 Helton, John William 16 Jørgensen, Palle E. T. 16 Larios, Adam 16 Lee, Jieun 16 Nicolaenko, Basil 15 Cheskidov, Alexey 15 Danca, Marius-Florin 15 Duan, Jinqiao 15 Hou, Yanren 15 Ilyin, Aleksei A. 15 Kalantarov, Varga K. 15 Langa, Jose’ Antonio 15 Li, Kaitai 15 Łukaszewicz, Grzegorz 15 Olson, Eric J. 15 Özbay, Hitay 15 Young, Nicholas John 14 Fuhrmann, Paul A. 14 Kostianko, Anna 14 Lasiecka, Irena 14 Levan, Nhan 14 Müller, Vladimír 14 Wang, Shouhong 13 Dascaliuc, Radu 13 Deugoue, Gabriel 13 Gu, Caixing 13 Guermond, Jean-Luc 13 Gunzburger, Max D. 13 Herrero, Domingo Antonio 13 Peller, Vladimir Vsevolodovich 13 Razafimandimby, Paul André 13 Rosa, Ricardo M. S. 13 Sell, George Roger 13 Stochel, Jan 13 Tian, Lixin 12 Alpay, Daniel Aron 12 Chae, Dongho 12 Cung The Anh 12 Debussche, Arnaud 12 Douglas, Ronald George 12 Duggal, Bhagwati Prashad 12 Farhat, Aseel 12 Feireisl, Eduard 12 Gau, Hwa-Long 12 Grasselli, Maurizio 12 Jung, Sungeun 12 Manley, Oscar P. 12 Martinez, Vincent R. 12 Real Anguas, José 12 Triggiani, Roberto 12 Valero, José 12 Yamazaki, Kazuo 12 Yao, Zhengan 12 Zhou, Shengfan 11 Clouâtre, Raphaël 11 Galdi, Giovanni Paolo 11 Ghidaglia, Jean-Michel 11 Glatt-Holtz, Nathan E. ...and 5,008 more Authors all top 5 Cited in 528 Serials 405 Journal of Mathematical Analysis and Applications 270 Journal of Functional Analysis 205 Journal of Differential Equations 192 Integral Equations and Operator Theory 177 Proceedings of the American Mathematical Society 144 Physica D 121 Linear Algebra and its Applications 107 Nonlinear Analysis. Theory, Methods & Applications. 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New Series 12 Bulletin des Sciences Mathématiques 12 Nonlinear Dynamics ...and 428 more Serials all top 5 Cited in 61 Fields 2,502 Partial differential equations (35-XX) 1,872 Fluid mechanics (76-XX) 1,768 Operator theory (47-XX) 695 Dynamical systems and ergodic theory (37-XX) 546 Functional analysis (46-XX) 491 Numerical analysis (65-XX) 373 Systems theory; control (93-XX) 297 Ordinary differential equations (34-XX) 290 Probability theory and stochastic processes (60-XX) 219 Functions of a complex variable (30-XX) 126 Geophysics (86-XX) 120 Calculus of variations and optimal control; optimization (49-XX) 116 Mechanics of deformable solids (74-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 107 Linear and multilinear algebra; matrix theory (15-XX) 93 Statistical mechanics, structure of matter (82-XX) 92 Several complex variables and analytic spaces (32-XX) 85 Quantum theory (81-XX) 69 Measure and integration (28-XX) 67 Classical thermodynamics, heat transfer (80-XX) 65 Biology and other natural sciences (92-XX) 57 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Global analysis, analysis on manifolds (58-XX) 40 Real functions (26-XX) 40 Approximations and expansions (41-XX) 32 Mechanics of particles and systems (70-XX) 31 Abstract harmonic analysis (43-XX) 30 Difference and functional equations (39-XX) 30 Optics, electromagnetic theory (78-XX) 27 Integral equations (45-XX) 25 Statistics (62-XX) 23 Integral transforms, operational calculus (44-XX) 21 Number theory (11-XX) 20 General topology (54-XX) 20 Computer science (68-XX) 16 Associative rings and algebras (16-XX) 16 Differential geometry (53-XX) 16 Operations research, mathematical programming (90-XX) 16 Information and communication theory, circuits (94-XX) 15 Topological groups, Lie groups (22-XX) 14 History and biography (01-XX) 14 Combinatorics (05-XX) 13 General and overarching topics; collections (00-XX) 13 Algebraic geometry (14-XX) 13 Manifolds and cell complexes (57-XX) 11 Nonassociative rings and algebras (17-XX) 10 Group theory and generalizations (20-XX) 8 Special functions (33-XX) 7 Sequences, series, summability (40-XX) 7 Relativity and gravitational theory (83-XX) 7 Astronomy and astrophysics (85-XX) 5 Potential theory (31-XX) 4 Mathematical logic and foundations (03-XX) 4 Convex and discrete geometry (52-XX) 3 Commutative algebra (13-XX) 3 Algebraic topology (55-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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