# zbMATH — the first resource for mathematics

## Rosa, Ricardo M. S.

Compute Distance To:
 Author ID: rosa.ricardo-m-s Published as: Rosa, Ricardo; Rosa, R.; Rosa, Ricardo M. S.; Rosa, R. M. S.
 Documents Indexed: 43 Publications since 1995, including 2 Books
all top 5

#### Co-Authors

 8 single-authored 17 Temam, Roger Meyer 14 Foiaş, Ciprian Ilie 8 Jolly, Michael S. 7 Manley, Oscar P. 3 Bronzi, Anne C. 3 Moise, Ioana 2 Cipolatti, Rolci A. 2 Mignani, Stefania 2 Mondaini, Cecilia F. 2 Palermo, Luiz A. 2 Rincon, Mauro Antonio 2 Wang, Xiaoming 1 Balci, Nusret 1 Cabral, Marco 1 Castaneda, Nelson 1 Dieci, Luca 1 Goubet, Olivier 1 Van Vleck, Erik S.
all top 5

#### Serials

 6 Discrete and Continuous Dynamical Systems 4 Journal of Dynamics and Differential Equations 3 Journal of Statistical Physics 3 Journal of Differential Equations 3 Physica D 2 Advances in Differential Equations 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Encyclopedia of Mathematics and Its Applications 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Nonlinearity 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Statistica 1 Acta Applicandae Mathematicae 1 Applications of Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Matemática Contemporânea 1 Discrete and Continuous Dynamical Systems. Series B 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 34 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 19 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 836 times in 543 Documents Cited by Year
Navier-Stokes equations and turbulence. Zbl 0994.35002
Foias, C.; Rosa, R.; Manley, O.; Temam, R.
2001
The global attractor for the 2D Navier-Stokes flow on some unbounded domains. Zbl 0901.35070
Rosa, Ricardo
1998
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
1998
Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line. Zbl 1034.35122
Goubet, Olivier; Rosa, Ricardo M. S.
2002
Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
2004
On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525
Moise, I.; Rosa, R.
1997
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.
2002
Estimates for the energy cascade in three-dimensional turbulent flows. Zbl 1172.76319
Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger
2001
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
2013
Chaos for a damped and forced KdV equation. Zbl 1061.35103
Cabral, M.; Rosa, R.
2004
Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations. Zbl 1191.35204
Foias, Ciprian; Rosa, Ricardo; Temam, Roger
2010
The global attractor of a weakly damped, forced Korteweg-de Vries equation in $$H^1(\mathbb{R})$$. Zbl 0979.35129
Rosa, Ricardo
2000
Navier-Stokes equations and turbulence. Paperback reprint of the hardback edition 2001. Zbl 1139.35001
Foias, C.; Rosa, R.; Manley, O.; Temam, R.
2008
Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations. Zbl 1111.35039
Rosa, Ricardo M. S.
2006
Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation. Zbl 1045.37048
Jolly, M. S.; Rosa, R.; Temam, R.
2000
Accurate computations on inertial manifolds. Zbl 0988.34048
Jolly, M. S.; Rosa, R.; Temam, R.
2001
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
2010
Kolmogorov theory via finite-time averages. Zbl 1083.35091
Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R.
2005
Cascade of energy in turbulent flows. Zbl 0986.35089
Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger
2001
Abstract framework for the theory of statistical solutions. Zbl 1334.76038
Bronzi, A. C.; Mondaini, C. F.; Rosa, R. M. S.
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.
2015
Trajectory statistical solutions for three-dimensional Navier-Stokes-like systems. Zbl 1298.76066
Bronzi, Anne C.; Mondaini, Cecilia F.; Rosa, Ricardo M. S.
2014
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
2010
On the convergence of statistical solutions of the 3D Navier-Stokes-$$\alpha$$ model as $$\alpha$$ vanishes. Zbl 1436.76007
Bronzi, Anne; Rosa, Ricardo
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.
2019
Inertial manifolds and normal hyperbolicity. Zbl 0863.35014
Rosa, Ricardo; Temam, Roger
1996
Approximate inertial manifolds of exponential order. Zbl 0883.34064
Rosa, Ricardo
1995
Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence. Zbl 1090.76017
Rosa, Ricardo M. S.
2002
Finite-dimensional feedback control of a scalar reaction-diffusion equation via inertial manifold theory. Zbl 0871.93027
Rosa, Ricardo; Temam, Roger
1997
On the Landau–Lifschitz degrees of freedom in 2-D turbulence. Zbl 1028.76014
Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.
2003
Computation of non-smooth local centre manifolds. Zbl 1076.76062
Jolly, M. S.; Rosa, R.
2005
Exact finite dimensional feedback control via inertial manifold theory with application to the Chafee-Infante equation. Zbl 1081.93010
Rosa, Ricardo
2003
Optimal estimates for the uncoupling of differential equations. Zbl 0854.34060
Castañeda, Nelson; Rosa, Ricardo
1996
Existence and dimension of the attractor for the Bénard problem on channel-like domains. Zbl 1049.37046
Cabral, Marco; Rosa, Ricardo; Temam, Roger
2004
On universal relations in 2-D turbulence. Zbl 1193.35124
Balci, Nusret; Foias, Ciprian; Jolly, M. S.; Rosa, Ricardo
2010
Statistical estimates for channel flows driven by a pressure gradient. Zbl 1143.76421
Ramos, F.; Rosa, R.; Temam, R.
2008
Theory and applications of statistical solutions of the Navier-Stokes equations. Zbl 1183.35223
Rosa, Ricardo M. S.
2009
Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401
Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S.
2008
The moving block bootstrap to assess the accuracy of statistical estimates in Ising model simulations. Zbl 0908.65004
Mignani, S.; Rosa, R.
1995
Conjugacy of strongly continuous semigroups generated by normal operators. Zbl 0828.47033
Rosa, Ricardo
1995
Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations. Zbl 1421.35243
Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M.
2019
Abstract framework for the theory of statistical solutions. Zbl 1334.76038
Bronzi, A. C.; Mondaini, C. F.; Rosa, R. M. S.
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.
2015
Trajectory statistical solutions for three-dimensional Navier-Stokes-like systems. Zbl 1298.76066
Bronzi, Anne C.; Mondaini, Cecilia F.; Rosa, Ricardo M. S.
2014
On the convergence of statistical solutions of the 3D Navier-Stokes-$$\alpha$$ model as $$\alpha$$ vanishes. Zbl 1436.76007
Bronzi, Anne; Rosa, Ricardo
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
2013
Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations. Zbl 1191.35204
Foias, Ciprian; Rosa, Ricardo; Temam, Roger
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
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
2010
On universal relations in 2-D turbulence. Zbl 1193.35124
Balci, Nusret; Foias, Ciprian; Jolly, M. S.; Rosa, Ricardo
2010
Theory and applications of statistical solutions of the Navier-Stokes equations. Zbl 1183.35223
Rosa, Ricardo M. S.
2009
Navier-Stokes equations and turbulence. Paperback reprint of the hardback edition 2001. Zbl 1139.35001
Foias, C.; Rosa, R.; Manley, O.; Temam, R.
2008
Statistical estimates for channel flows driven by a pressure gradient. Zbl 1143.76421
Ramos, F.; Rosa, R.; Temam, R.
2008
Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401
Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S.
2008
Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations. Zbl 1111.35039
Rosa, Ricardo M. S.
2006
Kolmogorov theory via finite-time averages. Zbl 1083.35091
Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R.
2005
Computation of non-smooth local centre manifolds. Zbl 1076.76062
Jolly, M. S.; Rosa, R.
2005
Attractors for noncompact nonautonomous systems via energy equations. Zbl 1060.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
2004
Chaos for a damped and forced KdV equation. Zbl 1061.35103
Cabral, M.; Rosa, R.
2004
Existence and dimension of the attractor for the Bénard problem on channel-like domains. Zbl 1049.37046
Cabral, Marco; Rosa, Ricardo; Temam, Roger
2004
On the Landau–Lifschitz degrees of freedom in 2-D turbulence. Zbl 1028.76014
Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.
2003
Exact finite dimensional feedback control via inertial manifold theory with application to the Chafee-Infante equation. Zbl 1081.93010
Rosa, Ricardo
2003
Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line. Zbl 1034.35122
Goubet, Olivier; Rosa, Ricardo M. S.
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.
2002
Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence. Zbl 1090.76017
Rosa, Ricardo M. S.
2002
Navier-Stokes equations and turbulence. Zbl 0994.35002
Foias, C.; Rosa, R.; Manley, O.; Temam, R.
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
2001
Accurate computations on inertial manifolds. Zbl 0988.34048
Jolly, M. S.; Rosa, R.; Temam, R.
2001
Cascade of energy in turbulent flows. Zbl 0986.35089
Foias, Ciprian; Manley, Oscar P.; Rosa, Ricardo M. S.; Temam, Roger
2001
The global attractor of a weakly damped, forced Korteweg-de Vries equation in $$H^1(\mathbb{R})$$. Zbl 0979.35129
Rosa, Ricardo
2000
Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation. Zbl 1045.37048
Jolly, M. S.; Rosa, R.; Temam, R.
2000
The global attractor for the 2D Navier-Stokes flow on some unbounded domains. Zbl 0901.35070
Rosa, Ricardo
1998
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
1998
On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation. Zbl 1023.35525
Moise, I.; Rosa, R.
1997
Finite-dimensional feedback control of a scalar reaction-diffusion equation via inertial manifold theory. Zbl 0871.93027
Rosa, Ricardo; Temam, Roger
1997
Inertial manifolds and normal hyperbolicity. Zbl 0863.35014
Rosa, Ricardo; Temam, Roger
1996
Optimal estimates for the uncoupling of differential equations. Zbl 0854.34060
Castañeda, Nelson; Rosa, Ricardo
1996
Approximate inertial manifolds of exponential order. Zbl 0883.34064
Rosa, Ricardo
1995
The moving block bootstrap to assess the accuracy of statistical estimates in Ising model simulations. Zbl 0908.65004
Mignani, S.; Rosa, R.
1995
Conjugacy of strongly continuous semigroups generated by normal operators. Zbl 0828.47033
Rosa, Ricardo
1995
all top 5

#### Cited by 654 Authors

 26 Titi, Edriss Saleh 25 Zhao, Caidi 23 Foiaş, Ciprian Ilie 22 Jolly, Michael S. 16 Zelik, Sergey V. 14 Łukaszewicz, Grzegorz 14 Wang, Bixiang 13 Caraballo Garrido, Tomás 12 Rosa, Ricardo M. S. 11 Dascaliuc, Radu 11 Real Anguas, José 11 Zhou, Shengfan 10 Hoang, Luan Thach 10 Temam, Roger Meyer 9 Cheskidov, Alexey 8 Chepyzhov, Vladimir V. 8 Li, Yongsheng 8 Sun, Chunyou 8 Wang, Xiaoming 8 Yang, Xinguang 7 Gibbon, John D. 7 Glatt-Holtz, Nathan E. 7 Goubet, Olivier 7 Ilyin, Alexei A. 7 Larios, Adam 7 Marín-Rubio, Pedro 6 Grujić, Zoran 6 Kalantarov, Varga K. 6 Robinson, James Cooper 6 Valero, José 6 Wang, Ming 6 Yan, Xingjie 6 Zhong, Chengkui 5 Avrin, Joel D. 5 Constantin, Peter 5 Dai, Mimi 5 Dlotko, Tomasz W. 5 Grasselli, Maurizio 5 Guo, Boling 5 Kapustyan, Oleksiy V. 5 Kukavica, Igor 5 Razafimandimby, Paul André 5 Vicol, Vlad C. 4 Biswas, Animikh 4 Boukrouche, Mahdi 4 Brzeźniak, Zdzisław 4 Chekroun, Mickaël D. 4 Hou, Yanren 4 Huang, Jianhua 4 Jiang, Jinping 4 Li, Yangrong 4 Li, Yanjiao 4 Lunasin, Evelyn M. 4 Martinez, Vincent R. 4 Mishra, Siddhartha 4 Mondaini, Cecilia F. 4 Olson, Eric J. 4 Pei, Yuan 4 Qin, Yuming 4 You, Bo 4 Yue, Gaocheng 4 Ziane, Mohammed 3 Cung The Anh 3 Doering, Charles R. 3 Ekren, Ibrahim 3 Farhat, Aseel 3 Földes, Juraj 3 Frigeri, Sergio 3 Gal, Ciprian Gheorghe Sorin 3 García-Luengo, Julia 3 Gu, Anhui 3 Kalita, Piotr 3 Levant, Boris 3 Lewandowski, Roger 3 Li, Fang 3 Li, Juntao 3 Li, Kaitai 3 Liu, Honghu 3 Liu, Linfang 3 Pankov, Andrey V. 3 Raugel, Geneviève 3 Rhodes, Rémi 3 Richards, Geordie 3 Tang, Yanbin 3 Tian, Lixin 3 Vargas, Vincent 3 Verstappen, Roel 3 Wu, Delin 3 Zgliczyński, Piotr 2 Allouba, Hassan 2 Anguiano, María 2 Azouani, Abderrahim 2 Balci, Nusret 2 Basson, Arnaud 2 Berselli, Luigi Carlo 2 Bollt, Erik M. 2 Boussetouan, Imane 2 Bowman, John C. 2 Bronzi, Anne C. 2 Cao, Dat T. ...and 554 more Authors
all top 5

#### Cited in 138 Serials

 49 Journal of Differential Equations 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Physica D 23 Journal of Mathematical Analysis and Applications 19 Journal of Mathematical Physics 16 Discrete and Continuous Dynamical Systems. Series B 14 Communications in Mathematical Physics 14 Journal of Dynamics and Differential Equations 11 Applied Mathematics and Computation 11 Journal of Mathematical Fluid Mechanics 11 Nonlinear Analysis. Real World Applications 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Discrete and Continuous Dynamical Systems 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Communications on Pure and Applied Analysis 7 Computers and Fluids 7 Nonlinearity 7 Applied Mathematics and Optimization 7 Journal of Computational and Applied Mathematics 7 Journal of Nonlinear Science 7 SIAM Journal on Applied Dynamical Systems 6 Journal of Computational Physics 6 Journal of Statistical Physics 6 Mathematical Methods in the Applied Sciences 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Applied Mathematics Letters 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Applied Analysis and Computation 5 Archive for Rational Mechanics and Analysis 5 Computers & Mathematics with Applications 5 Computer Methods in Applied Mechanics and Engineering 5 Transactions of the American Mathematical Society 4 Applicable Analysis 4 Journal of Fluid Mechanics 4 Mathematics of Computation 4 Numerische Mathematik 4 Applied Numerical Mathematics 4 Mathematical and Computer Modelling 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 Abstract and Applied Analysis 3 Applied Mathematics and Mechanics. (English Edition) 3 Chinese Annals of Mathematics. Series B 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Stochastic Processes and their Applications 3 NoDEA. Nonlinear Differential Equations and Applications 3 Chaos 3 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Dynamical and Control Systems 3 Advanced Nonlinear Studies 3 Boundary Value Problems 3 Evolution Equations and Control Theory 2 International Journal of Engineering Science 2 International Journal for Numerical Methods in Fluids 2 Russian Mathematical Surveys 2 Bulletin of Mathematical Biology 2 Theoretical and Computational Fluid Dynamics 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Calcolo 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Stochastic Analysis and Applications 2 Asymptotic Analysis 2 Physics of Fluids 2 Nonlinear Dynamics 2 Annales Henri Poincaré 2 Journal of Evolution Equations 2 Stochastics and Dynamics 2 Frontiers of Mathematics in China 1 Communications on Pure and Applied Mathematics 1 Journal of Engineering Mathematics 1 Mathematical Notes 1 Physics Letters. A 1 Physics Reports 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Annales de l’Institut Fourier 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 International Journal of Computer Mathematics ...and 38 more Serials
all top 5

#### Cited in 36 Fields

 432 Partial differential equations (35-XX) 288 Fluid mechanics (76-XX) 172 Dynamical systems and ergodic theory (37-XX) 53 Numerical analysis (65-XX) 50 Probability theory and stochastic processes (60-XX) 36 Ordinary differential equations (34-XX) 19 Systems theory; control (93-XX) 12 Biology and other natural sciences (92-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Mechanics of deformable solids (74-XX) 8 Geophysics (86-XX) 7 Measure and integration (28-XX) 7 Difference and functional equations (39-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)