Edit Profile (opens in new tab) Bronski, Jared C. Co-Author Distance Author ID: bronski.jared-c Published as: Bronski, Jared C.; Bronski, J. C.; Bronski, Jared more...less Documents Indexed: 52 Publications since 1994, including 8 Additional arXiv Preprints Co-Authors: 41 Co-Authors with 45 Joint Publications 1,171 Co-Co-Authors all top 5 Co-Authors 7 single-authored 8 Johnson, Mathew A. 7 DeVille, Lee 5 Hur, Vera Mikyoung 4 Ferguson, Timothy 4 McLaughlin, Richard M. 4 Rapti, Zoi 3 Barreiro, Andrea K. 3 Carty, Thomas E. 2 Abdullaev, Fatkhulla Kh. 2 Agbanusi, Ikemefuna Chukwuemeka 2 Fetecau, Razvan C. 2 Gambill, Thomas N. 2 Kapitula, Todd M. 2 Marangell, Robert 2 McLaughlin, David W. 1 Anastasio, Thomas J. 1 Barker, Blake 1 Camassa, Roberto 1 Galimzyanov, R. M. 1 He, Yizhang 1 Jerrard, Robert Leon 1 Jip Park, Moon 1 Kielty, Derek 1 Koutsaki, K. Paolina 1 Kutz, J. Nathan 1 Leisman, Katelyn Plaisier 1 Li, Xinye 1 Lin, Zhi 1 Liu, Yue 1 Livesay, Michael R. 1 Newton, Paul K. 1 Papanicolaou, George C. 1 Scotti, Alberto 1 Shelley, Michael J. 1 Simpson, Sarah E. 1 Sponseller, Danielle Rae 1 Wang, Lan 1 Wester, Samuel Lee 1 Wolbert, Seth 1 Yang, Zhao 1 Zumbrun, Kevin R. all top 5 Serials 8 Physica D 6 Journal of Statistical Physics 4 Nonlinearity 3 Communications in Mathematical Physics 3 SIAM Journal on Applied Mathematics 3 Chaos 2 Archive for Rational Mechanics and Analysis 2 SIAM Journal on Mathematical Analysis 1 Physics Letters. A 1 Studies in Applied Mathematics 1 Journal of Theoretical Probability 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Physics of Fluids 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Analysis. Real World Applications 1 SIAM Journal on Applied Dynamical Systems 1 Dynamics of Partial Differential Equations all top 5 Fields 27 Partial differential equations (35-XX) 17 Ordinary differential equations (34-XX) 14 Dynamical systems and ergodic theory (37-XX) 7 Combinatorics (05-XX) 6 Fluid mechanics (76-XX) 6 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 468 times in 348 Documents Cited by ▼ Year ▼ Fully synchronous solutions and the synchronization phase transition for the finite-\(N\) Kuramoto model. Zbl 1319.34053 Bronski, Jared C.; DeVille, Lee; Jip Park, Moon 42 2012 An index theorem for the stability of periodic travelling waves of Korteweg-de Vries type. Zbl 1230.35118 Bronski, Jared C.; Johnson, Mathew A.; Kapitula, Todd 42 2011 Soliton dynamics in a potential. Zbl 0955.35067 Bronski, J. C.; Jerrard, R. L. 39 2000 The modulational instability for a generalized Korteweg-de Vries equation. Zbl 1221.35325 Bronski, Jared C.; Johnson, Mathew A. 38 2010 Uncertainty estimates and \(L_2\) bounds for the Kuramoto-Sivashinsky equation. Zbl 1110.37062 Bronski, Jared C.; Gambill, Thomas N. 30 2006 Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem. Zbl 1194.81093 Bronski, Jared C. 23 1996 Rigorous estimates of the tails of the probability distribution function for the random linear shear model. Zbl 1063.76046 Bronski, Jared C.; McLaughlin, Richard M. 19 2000 An instability index theory for quadratic pencils and applications. Zbl 1301.35081 Bronski, Jared; Johnson, Mathew A.; Kapitula, Todd 18 2014 Spectral theory for dynamics on graphs containing attractive and repulsive interactions. Zbl 1332.05086 Bronski, Jared C.; Deville, Lee 18 2014 On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions. Zbl 1211.37087 Johnson, Mathew A.; Zumbrun, Kevin; Bronski, Jared C. 18 2010 A matrix-valued Kuramoto model. Zbl 1436.34032 Bronski, Jared C.; Carty, Thomas E.; Simpson, Sarah E. 17 2020 Soliton perturbations and the random Kepler problem. Zbl 0936.35171 Abdullaev, F. Kh.; Bronski, J. C.; Papanicolaou, G. 16 2000 Small ball constants and tight eigenvalue asymptotics for fractional Brownian motions. Zbl 1060.60036 Bronski, Jared C. 16 2003 The problem of moments and the Majda model for scalar intermittency. Zbl 0966.76036 Bronski, Jared C.; McLaughlin, Richard M. 12 2000 Modulational instability and variational structure. Zbl 1293.35276 Bronski, J. C.; Hur, V. M. 11 2014 Scalar intermittency and the ground state of periodic Schrödinger equations. Zbl 1185.76678 Bronski, Jared C.; McLaughlin, Richard M. 11 1997 Asymptotics of Karhunen-Loève eigenvalues and tight constants for probability distributions of passive scalar transport. Zbl 1028.60038 Bronski, Jared C. 11 2003 Graph homology and stability of coupled oscillator networks. Zbl 1339.05221 Bronski, Jared C.; DeVille, Lee; Ferguson, Timothy 10 2016 Semiclassical behavior in the NLS equation: Optical shocks – focusing instabilities. Zbl 0849.35127 Bronski, Jared C.; McLaughlin, David W. 10 1994 Modulational instability for nonlinear Schrödinger equations with a periodic potential. Zbl 1105.35113 Bronski, Jared C.; Rapti, Zoi 7 2005 Stability of traveling wave solutions of nonlinear dispersive equations of NLS type. Zbl 1467.35299 Leisman, Katelyn Plaisier; Bronski, Jared C.; Johnson, Mathew A.; Marangell, Robert 7 2021 Volume bounds for the phase-locking region in the Kuramoto model. Zbl 1385.34039 Bronski, Jared C.; Ferguson, Timothy 6 2018 Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem. Zbl 0983.81022 Bronski, J. C. 6 2001 Configurational stability for the Kuramoto-Sakaguchi model. Zbl 1400.34052 Bronski, Jared C.; Carty, Thomas; DeVille, Lee 4 2018 Nonlinear scattering and analyticity properties of solitons. Zbl 0894.35105 Bronski, J. C. 4 1998 Counting defect modes in periodic eigenvalue problems. Zbl 1238.34150 Bronski, Jared C.; Rapti, Zoi 4 2011 An explicit family of probability measures for passive scalar diffusion in a random flow. Zbl 1185.76693 Bronski, Jared C.; Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.; Scotti, Alberto 4 2007 Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length. Zbl 1030.82006 Abdullaev, F. Kh.; Bronski, J. C.; Galimzyanov, R. M. 4 2003 Emergence of balance from a model of social dynamics. Zbl 1380.91120 Agbanusi, Ikemefuna; Bronski, Jared C. 3 2018 Asymptotic behavior of the nonlinear Schrödinger equation with rapidly varying, mean-zero dispersion. Zbl 0938.35178 Bronski, Jared C.; Kutz, J. Nathan 3 1997 The stability of fixed points for a Kuramoto model with Hebbian interactions. Zbl 1390.34092 Bronski, Jared C.; He, Yizhang; Li, Xinye; Liu, Yue; Sponseller, Danielle Rae; Wolbert, Seth 3 2017 An alternative energy bound derivation for a generalized Hasegawa-Mima equation. Zbl 1239.35136 Bronski, Jared C.; Fetecau, Razvan C. 2 2012 A note on a non-local Kuramoto-Sivashinsky equation. Zbl 1149.35357 Bronski, Jared C.; Fetecau, Razvan C.; Gambill, Thomas N. 2 2007 Spectral gradient flow and equilibrium configurations of point vortices. Zbl 1204.76006 Barreiro, Andrea; Bronski, Jared; Newton, Paul K. 2 2010 On the stability of time-harmonic localized states in a disordered nonlinear medium. Zbl 0945.82561 Bronski, Jared C.; McLaughlin, David W.; Shelley, Michael J. 1 1997 A preliminary study of solitary wave propagation in a disordered medium. Zbl 0938.35177 Bronski, Jared C. 1 1998 Applications of a class of Herglotz operator pencils. Zbl 1447.35237 Barreiro, Andrea K.; Bronski, Jared C.; Rapti, Zoi 1 2019 Krein signatures for the Faddeev-Takhtajan eigenvalue problem. Zbl 1178.37097 Bronski, Jared C.; Johnson, Mathew A. 1 2009 Superharmonic instability for regularized long-wave models. Zbl 1504.35050 Bronski, Jared C.; Hur, Vera Mikyoung; Wester, Samuel Lee 1 2023 Synchronisation conditions in the Kuramoto model and their relationship to seminorms. Zbl 1480.34067 Bronski, Jared C.; Carty, Thomas E.; DeVille, Lee 1 2021 Superharmonic instability for regularized long-wave models. Zbl 1504.35050 Bronski, Jared C.; Hur, Vera Mikyoung; Wester, Samuel Lee 1 2023 Stability of traveling wave solutions of nonlinear dispersive equations of NLS type. Zbl 1467.35299 Leisman, Katelyn Plaisier; Bronski, Jared C.; Johnson, Mathew A.; Marangell, Robert 7 2021 Synchronisation conditions in the Kuramoto model and their relationship to seminorms. Zbl 1480.34067 Bronski, Jared C.; Carty, Thomas E.; DeVille, Lee 1 2021 A matrix-valued Kuramoto model. Zbl 1436.34032 Bronski, Jared C.; Carty, Thomas E.; Simpson, Sarah E. 17 2020 Applications of a class of Herglotz operator pencils. Zbl 1447.35237 Barreiro, Andrea K.; Bronski, Jared C.; Rapti, Zoi 1 2019 Volume bounds for the phase-locking region in the Kuramoto model. Zbl 1385.34039 Bronski, Jared C.; Ferguson, Timothy 6 2018 Configurational stability for the Kuramoto-Sakaguchi model. Zbl 1400.34052 Bronski, Jared C.; Carty, Thomas; DeVille, Lee 4 2018 Emergence of balance from a model of social dynamics. Zbl 1380.91120 Agbanusi, Ikemefuna; Bronski, Jared C. 3 2018 The stability of fixed points for a Kuramoto model with Hebbian interactions. Zbl 1390.34092 Bronski, Jared C.; He, Yizhang; Li, Xinye; Liu, Yue; Sponseller, Danielle Rae; Wolbert, Seth 3 2017 Graph homology and stability of coupled oscillator networks. Zbl 1339.05221 Bronski, Jared C.; DeVille, Lee; Ferguson, Timothy 10 2016 An instability index theory for quadratic pencils and applications. Zbl 1301.35081 Bronski, Jared; Johnson, Mathew A.; Kapitula, Todd 18 2014 Spectral theory for dynamics on graphs containing attractive and repulsive interactions. Zbl 1332.05086 Bronski, Jared C.; Deville, Lee 18 2014 Modulational instability and variational structure. Zbl 1293.35276 Bronski, J. C.; Hur, V. M. 11 2014 Fully synchronous solutions and the synchronization phase transition for the finite-\(N\) Kuramoto model. Zbl 1319.34053 Bronski, Jared C.; DeVille, Lee; Jip Park, Moon 42 2012 An alternative energy bound derivation for a generalized Hasegawa-Mima equation. Zbl 1239.35136 Bronski, Jared C.; Fetecau, Razvan C. 2 2012 An index theorem for the stability of periodic travelling waves of Korteweg-de Vries type. Zbl 1230.35118 Bronski, Jared C.; Johnson, Mathew A.; Kapitula, Todd 42 2011 Counting defect modes in periodic eigenvalue problems. Zbl 1238.34150 Bronski, Jared C.; Rapti, Zoi 4 2011 The modulational instability for a generalized Korteweg-de Vries equation. Zbl 1221.35325 Bronski, Jared C.; Johnson, Mathew A. 38 2010 On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions. Zbl 1211.37087 Johnson, Mathew A.; Zumbrun, Kevin; Bronski, Jared C. 18 2010 Spectral gradient flow and equilibrium configurations of point vortices. Zbl 1204.76006 Barreiro, Andrea; Bronski, Jared; Newton, Paul K. 2 2010 Krein signatures for the Faddeev-Takhtajan eigenvalue problem. Zbl 1178.37097 Bronski, Jared C.; Johnson, Mathew A. 1 2009 An explicit family of probability measures for passive scalar diffusion in a random flow. Zbl 1185.76693 Bronski, Jared C.; Camassa, Roberto; Lin, Zhi; McLaughlin, Richard M.; Scotti, Alberto 4 2007 A note on a non-local Kuramoto-Sivashinsky equation. Zbl 1149.35357 Bronski, Jared C.; Fetecau, Razvan C.; Gambill, Thomas N. 2 2007 Uncertainty estimates and \(L_2\) bounds for the Kuramoto-Sivashinsky equation. Zbl 1110.37062 Bronski, Jared C.; Gambill, Thomas N. 30 2006 Modulational instability for nonlinear Schrödinger equations with a periodic potential. Zbl 1105.35113 Bronski, Jared C.; Rapti, Zoi 7 2005 Small ball constants and tight eigenvalue asymptotics for fractional Brownian motions. Zbl 1060.60036 Bronski, Jared C. 16 2003 Asymptotics of Karhunen-Loève eigenvalues and tight constants for probability distributions of passive scalar transport. Zbl 1028.60038 Bronski, Jared C. 11 2003 Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length. Zbl 1030.82006 Abdullaev, F. Kh.; Bronski, J. C.; Galimzyanov, R. M. 4 2003 Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem. Zbl 0983.81022 Bronski, J. C. 6 2001 Soliton dynamics in a potential. Zbl 0955.35067 Bronski, J. C.; Jerrard, R. L. 39 2000 Rigorous estimates of the tails of the probability distribution function for the random linear shear model. Zbl 1063.76046 Bronski, Jared C.; McLaughlin, Richard M. 19 2000 Soliton perturbations and the random Kepler problem. Zbl 0936.35171 Abdullaev, F. Kh.; Bronski, J. C.; Papanicolaou, G. 16 2000 The problem of moments and the Majda model for scalar intermittency. Zbl 0966.76036 Bronski, Jared C.; McLaughlin, Richard M. 12 2000 Nonlinear scattering and analyticity properties of solitons. Zbl 0894.35105 Bronski, J. C. 4 1998 A preliminary study of solitary wave propagation in a disordered medium. Zbl 0938.35177 Bronski, Jared C. 1 1998 Scalar intermittency and the ground state of periodic Schrödinger equations. Zbl 1185.76678 Bronski, Jared C.; McLaughlin, Richard M. 11 1997 Asymptotic behavior of the nonlinear Schrödinger equation with rapidly varying, mean-zero dispersion. Zbl 0938.35178 Bronski, Jared C.; Kutz, J. Nathan 3 1997 On the stability of time-harmonic localized states in a disordered nonlinear medium. Zbl 0945.82561 Bronski, Jared C.; McLaughlin, David W.; Shelley, Michael J. 1 1997 Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem. Zbl 1194.81093 Bronski, Jared C. 23 1996 Semiclassical behavior in the NLS equation: Optical shocks – focusing instabilities. Zbl 0849.35127 Bronski, Jared C.; McLaughlin, David W. 10 1994 all cited Publications top 5 cited Publications all top 5 Cited by 474 Authors 37 Ha, Seung-Yeal 19 Bronski, Jared C. 13 Johnson, Mathew A. 12 Park, Hansol 10 Kim, Dohyun 10 McLaughlin, Richard M. 8 Camassa, Roberto 8 Pelinovsky, Dmitry Efimovich 8 Zumbrun, Kevin R. 7 DeVille, Lee 7 Hur, Vera Mikyoung 7 Kapitula, Todd M. 7 Rodrigues, Luis Miguel 7 Shim, Woojoo 7 Squassina, Marco 6 Kim, Jeongho 6 Marangell, Robert 6 Nazarov, Alexander I. 6 Stefanov, Atanas G. 5 Barker, Blake 5 Ferguson, Timothy 5 Miller, Peter D. 5 Park, Jinyeong 5 Pastor, Ademir 5 Sigal, Israel Michael 5 Stanislavova, Milena 4 Berti, Massimiliano 4 Deconinck, Bernard 4 Ding, Lingyun 4 Jin, Shi 4 Jung, Jinwook 4 Marzuola, Jeremy Louis 4 Maspero, Alberto 4 Natali, Fábio M. Amorin 4 Noble, Pascal 4 Titi, Edriss Saleh 4 Trichtchenko, Olga 4 Ventura, Paolo 4 Weinstein, Michael I. 4 Zhang, Xiongtao 3 Angulo Pava, Jaime 3 Antoine, Xavier 3 Carles, Rémi 3 Carty, Thomas E. 3 Chen, Jinbing 3 d’Avenia, Pietro 3 Duboscq, Romain 3 Feng, Yuanyuan 3 Fukuizumi, Reika 3 Ghimenti, Marco G. 3 Haragus, Mariana 3 Humpherys, Jeffrey 3 Kang, Myeongju 3 Kim, Doheon 3 Kleptsyna, Marina L. 3 Ko, Dongnam 3 Le, Uyen 3 Lee, Jaeseung 3 Lin, Chikun 3 Lyng, Gregory Daniel 3 Majda, Andrew J. 3 Mazzucato, Anna L. 3 Noh, Se Eun 3 Otto, Felix 3 Pandey, Ashish Kumar 3 Plaza, Ramón G. 3 Stuart, David M. A. 3 Tovbis, Alexander 3 Wright, Otis Clarence III 2 Ahn, Hyunjin 2 Altafini, Claudio 2 Ambrose, David M. 2 Babin, Anatoli V. 2 Benci, Vieri 2 Benzoni-Gavage, Sylvie 2 Bonanno, Claudio 2 Bourlioux, Anne 2 Bridges, Thomas J. 2 Bullo, Francesco 2 Byeon, Junhyeok 2 Chigansky, Pavel 2 Cristófani, Fabrício 2 de Andrade, Thiago Pinguello 2 de Bouard, Anne 2 de Loreno, Guilherme 2 Debussche, Arnaud 2 Dejak, Steven I. 2 Deng, Qingquan 2 Dong, Jiu-Gang 2 Fantuzzi, Giovanni 2 Fefferman, Charles Louis 2 Figotin, Alexander 2 Forest, Mark Gregory 2 Fort, Jean-Claude 2 Galaktionov, Victor Aleksandrovich 2 Geyer, Anna 2 Gustafson, Stephen J. 2 Hakkaev, Sevdzhan A. 2 Jones, Christopher K. R. T. 2 Jonsson, B. Lars G. ...and 374 more Authors all top 5 Cited in 118 Serials 41 Physica D 19 Journal of Differential Equations 14 Journal of Mathematical Physics 13 SIAM Journal on Applied Dynamical Systems 12 Journal of Statistical Physics 11 Studies in Applied Mathematics 10 Journal of Mathematical Analysis and Applications 10 SIAM Journal on Mathematical Analysis 8 Communications in Mathematical Physics 8 Journal of Nonlinear Science 7 Archive for Rational Mechanics and Analysis 7 Communications on Pure and Applied Mathematics 6 SIAM Journal on Applied Mathematics 6 Physics of Fluids 6 Kinetic and Related Models 5 Nonlinearity 5 Physics Letters. A 5 Discrete and Continuous Dynamical Systems 5 Chaos 4 Quarterly of Applied Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Communications in Partial Differential Equations 4 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Computational Physics 3 Physica A 3 Chaos, Solitons and Fractals 3 Transactions of the American Mathematical Society 3 Journal of Dynamics and Differential Equations 3 Communications in Contemporary Mathematics 3 Communications on Pure and Applied Analysis 3 Journal of Physics A: Mathematical and Theoretical 3 Networks and Heterogeneous Media 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Computer Physics Communications 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Automatica 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Memoirs of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Linear Algebra and its Applications 2 SIAM Review 2 Bernoulli 2 Journal of Evolution Equations 2 Bulletin of the Brazilian Mathematical Society. New Series 2 SIAM Journal on Applied Algebra and Geometry 1 Applicable Analysis 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Functional Analysis and its Applications 1 Information Sciences 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Journal of Time Series Analysis 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of the Nigerian Mathematical Society 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 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 Machine Learning 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Algebraic Combinatorics 1 Potential Analysis 1 Russian Journal of Mathematical Physics 1 Turkish Journal of Mathematics 1 Advances in Differential Equations 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Doklady Mathematics 1 Mathematical Finance 1 Nonlinear Dynamics 1 Fractional Calculus & Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Methodology and Computing in Applied Probability ...and 18 more Serials all top 5 Cited in 41 Fields 213 Partial differential equations (35-XX) 71 Dynamical systems and ergodic theory (37-XX) 65 Ordinary differential equations (34-XX) 57 Fluid mechanics (76-XX) 42 Statistical mechanics, structure of matter (82-XX) 33 Quantum theory (81-XX) 31 Probability theory and stochastic processes (60-XX) 20 Numerical analysis (65-XX) 20 Biology and other natural sciences (92-XX) 19 Combinatorics (05-XX) 15 Operator theory (47-XX) 15 Mechanics of particles and systems (70-XX) 12 Systems theory; control (93-XX) 11 Optics, electromagnetic theory (78-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Geophysics (86-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year