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Promislow, Keith Steven

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 Author ID: promislow.keith Published as: Promislov, Keith; Promislow, K.; Promislow, K. S.; Promislow, Keith Homepage: http://users.math.msu.edu/users/kpromisl/index.html External Links: MGP · dblp
 Documents Indexed: 49 Publications since 1990, including 1 Book
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Co-Authors

 4 single-authored 8 Wetton, Brian R. 5 Doelman, Arjen 4 Dai, Shibin 3 Bona, Jerry Lloyd 3 Christlieb, Andrew J. 3 Hayrapetyan, Gurgen 3 Kaper, Tasso J. 3 Stockie, John M. 3 Temam, Roger Meyer 2 Chang, Paul A. C. 2 Gavish, Nir 2 Kapitula, Todd M. 2 Kim, Gwang-Soo 2 Kraitzman, Noa 2 Li, Yi A. 2 Moore, Richard O. 2 Wu, Qiliang 1 Bellsky, Thomas 1 Berg, Peter 1 Berlyand, Leonid V. 1 Çağlar, Atife 1 Cakir, Hayriye Guckir 1 Chen, Yuan 1 Cheng, Xinyu 1 Demengel, Françoise 1 Guha, Mohar 1 Jones, Jaylan 1 Kutz, J. Nathan 1 Li, Dong 1 Liu, Qiang 1 Saint-Pierre, Jean 1 Shah, Abhijit A. 1 van Heijster, Peter 1 Veerman, Frits 1 Wayne, Clarence Eugene 1 Wayne, Gene 1 Willoughby, Mark R. 1 Xu, Zhengfu 1 Yang, Li 1 Yang, Lianjiao 1 Zhang, Hang
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Serials

 6 SIAM Journal on Mathematical Analysis 5 Physica D 4 Nonlinearity 3 IMA Journal of Applied Mathematics 2 Applicable Analysis 2 Journal of Computational Physics 2 Journal of Differential Equations 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 SIAM Journal on Applied Dynamical Systems 1 Archive for Rational Mechanics and Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Biology 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Communications in Mathematical Sciences 1 Applied Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications
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Fields

 39 Partial differential equations (35-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Optics, electromagnetic theory (78-XX) 8 Fluid mechanics (76-XX) 8 Biology and other natural sciences (92-XX) 7 Ordinary differential equations (34-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Numerical analysis (65-XX) 3 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

37 Publications have been cited 515 times in 329 Documents Cited by Year
Spectral and dynamical stability of nonlinear waves. Zbl 1297.37001
Kapitula, Todd; Promislow, Keith
2013
High accuracy solutions to energy gradient flows from material science models. Zbl 1349.65510
Christlieb, Andrew; Jones, Jaylan; Promislow, Keith; Wetton, Brian; Willoughby, Mark
2014
A renormalization method for modulational stability of quasi-steady patterns in dispersive systems. Zbl 1019.34057
Promislow, Keith
2002
PEM fuel cells: a mathematical overview. Zbl 1189.35002
Promislow, Keith; Wetton, Brian
2009
Front interactions in a three-component system. Zbl 1197.35047
van Heijster, P.; Doelman, A.; Kaper, T. J.; Promislow, K.
2010
Nonlinear asymptotic stability of the semistrong pulse dynamics in a regularized Gierer-Meinhardt model. Zbl 1131.35084
Doelman, Arjen; Kaper, Tasso J.; Promislow, Keith
2007
Curvature driven flow of bi-layer interfaces. Zbl 1220.92006
Gavish, Nir; Hayrapetyan, Gurgen; Promislow, Keith; Yang, Li
2011
Geometric evolution of bilayers under the functionalized Cahn-Hilliard equation. Zbl 1371.80027
Dai, Shibin; Promislow, Keith
2013
Time analyticity and Gevrey regularity for solutions of a class of dissipative partial differential equations. Zbl 0737.35009
Promislow, Keith
1991
Induced trajectories and approximate inertial manifolds for the Ginzburg- Landau partial differential equation. Zbl 0696.35177
Promislow, Keith
1990
Meander and pearling of single-curvature bilayer interfaces in the functionalized Cahn-Hilliard equation. Zbl 1316.35026
Doelman, Arjen; Hayrapetyan, Gurgen; Promislow, Keith; Wetton, Brian
2014
Stability indices for constrained self-adjoint operators. Zbl 1244.35094
Kapitula, Todd; Promislow, Keith
2012
Localization and approximation of attractors for the Ginzburg-Landau equation. Zbl 0751.34036
Promislov, Keith; Temam, Roger
1991
Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Zbl 0837.35130
Bona, J. L.; Promislow, K. S.; Wayne, C. E.
1995
Critical points of functionalized Lagrangians. Zbl 1262.49017
Promislow, Keith; Zhang, Hang
2013
Fourier splitting and dissipation of nonlinear dispersive waves. Zbl 0947.35130
Bona, J. L.; Demengel, F.; Promislow, K.
1999
Competitive geometric evolution of amphiphilic interfaces. Zbl 1320.35064
Dai, Shibin; Promislow, Keith
2015
Existence of pearled patterns in the planar functionalized Cahn-Hilliard equation. Zbl 1330.35020
Promislow, Keith; Wu, Qiliang
2015
The mechanism of the polarizational mode instability in birefringent fiber optics. Zbl 0970.35141
Li, Yi A.; Promislow, Keith
2000
Adiabatic stability under semi-strong interactions: the weakly damped regime. Zbl 1302.35029
Bellsky, Thomas; Doelman, Arjen; Kaper, Tasso J.; Promislow, Keith
2013
Pearling bifurcations in the strong functionalized Cahn-Hilliard free energy. Zbl 1406.35039
Kraitzman, Noa; Promislow, Keith
2018
On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations. Zbl 0823.35018
Bona, Jerry; Promislow, Keith; Wayne, Gene
1994
A finite volume method for multicomponent gas transport in a porous fuel cell electrode. Zbl 1023.76027
Stockie, John M.; Promislow, Keith; Wetton, Brian R.
2003
Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator. Zbl 0973.78026
Promislow, Keith; Kutz, J. Nathan
2000
Spectra of functionalized operators arising from hypersurfaces. Zbl 1328.35134
Hayrapetyan, Gurgen; Promislow, Keith
2015
On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method. Zbl 1305.65250
Christlieb, Andrew; Promislov, Keith; Xu, Zhengfu
2013
Existence, bifurcation, and geometric evolution of quasi-bilayers in the multicomponent functionalized Cahn-Hilliard equation. Zbl 1381.92019
Promislow, Keith; Wu, Qiliang
2017
On the structure of generalized Poisson-Boltzmann equations. Zbl 1383.78028
Gavish, N.; Promislow, K.
2016
Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators. Zbl 1070.35089
Moore, Richard O.; Promislow, Keith
2005
Adiabatic relaxation of convective-diffusive gas transport in a porous fuel cell electrode. Zbl 0999.35044
Promislow, Keith; Stockie, John M.
2001
Structural stability of non-ground state traveling waves of coupled nonlinear Schrödinger equations. Zbl 0934.35173
Li, Y. A.; Promislow, K.
1998
Existence of compressible bilayers in the functionalized Cahn-Hilliard equation. Zbl 1348.37039
Promislow, K.; Yang, L.
2014
A sharp interface reduction for multiphase transport in a porous fuel cell electrode. Zbl 1149.76675
Promislow, Keith; Stockie, John; Wetton, Brian
2006
Electrical coupling in proton exchange membrane fuel cell stacks: mathematical and computational modelling. Zbl 1121.92073
Berg, Peter; Caglar, Atife; Promislow, Keith; St-Pierre, Jean; Wetton, Brian
2006
The semistrong limit of multipulse interaction in a thermally driven optical system. Zbl 1154.35449
Moore, Richard O.; Promislow, Keith
2008
Nonlinear stability of oscillatory pulses in the parametric nonlinear Schrödinger equation. Zbl 1128.37054
Chang, Paul A. C.; Promislow, Keith
2007
Approximate interaction laws for small and large waves in Ginzburg-Landau equation. Zbl 0733.35096
Promislow, Keith; Temam, Roger
1991
Pearling bifurcations in the strong functionalized Cahn-Hilliard free energy. Zbl 1406.35039
Kraitzman, Noa; Promislow, Keith
2018
Existence, bifurcation, and geometric evolution of quasi-bilayers in the multicomponent functionalized Cahn-Hilliard equation. Zbl 1381.92019
Promislow, Keith; Wu, Qiliang
2017
On the structure of generalized Poisson-Boltzmann equations. Zbl 1383.78028
Gavish, N.; Promislow, K.
2016
Competitive geometric evolution of amphiphilic interfaces. Zbl 1320.35064
Dai, Shibin; Promislow, Keith
2015
Existence of pearled patterns in the planar functionalized Cahn-Hilliard equation. Zbl 1330.35020
Promislow, Keith; Wu, Qiliang
2015
Spectra of functionalized operators arising from hypersurfaces. Zbl 1328.35134
Hayrapetyan, Gurgen; Promislow, Keith
2015
High accuracy solutions to energy gradient flows from material science models. Zbl 1349.65510
Christlieb, Andrew; Jones, Jaylan; Promislow, Keith; Wetton, Brian; Willoughby, Mark
2014
Meander and pearling of single-curvature bilayer interfaces in the functionalized Cahn-Hilliard equation. Zbl 1316.35026
Doelman, Arjen; Hayrapetyan, Gurgen; Promislow, Keith; Wetton, Brian
2014
Existence of compressible bilayers in the functionalized Cahn-Hilliard equation. Zbl 1348.37039
Promislow, K.; Yang, L.
2014
Spectral and dynamical stability of nonlinear waves. Zbl 1297.37001
Kapitula, Todd; Promislow, Keith
2013
Geometric evolution of bilayers under the functionalized Cahn-Hilliard equation. Zbl 1371.80027
Dai, Shibin; Promislow, Keith
2013
Critical points of functionalized Lagrangians. Zbl 1262.49017
Promislow, Keith; Zhang, Hang
2013
Adiabatic stability under semi-strong interactions: the weakly damped regime. Zbl 1302.35029
Bellsky, Thomas; Doelman, Arjen; Kaper, Tasso J.; Promislow, Keith
2013
On the unconditionally gradient stable scheme for the Cahn-Hilliard equation and its implementation with Fourier method. Zbl 1305.65250
Christlieb, Andrew; Promislov, Keith; Xu, Zhengfu
2013
Stability indices for constrained self-adjoint operators. Zbl 1244.35094
Kapitula, Todd; Promislow, Keith
2012
Curvature driven flow of bi-layer interfaces. Zbl 1220.92006
Gavish, Nir; Hayrapetyan, Gurgen; Promislow, Keith; Yang, Li
2011
Front interactions in a three-component system. Zbl 1197.35047
van Heijster, P.; Doelman, A.; Kaper, T. J.; Promislow, K.
2010
PEM fuel cells: a mathematical overview. Zbl 1189.35002
Promislow, Keith; Wetton, Brian
2009
The semistrong limit of multipulse interaction in a thermally driven optical system. Zbl 1154.35449
Moore, Richard O.; Promislow, Keith
2008
Nonlinear asymptotic stability of the semistrong pulse dynamics in a regularized Gierer-Meinhardt model. Zbl 1131.35084
Doelman, Arjen; Kaper, Tasso J.; Promislow, Keith
2007
Nonlinear stability of oscillatory pulses in the parametric nonlinear Schrödinger equation. Zbl 1128.37054
Chang, Paul A. C.; Promislow, Keith
2007
A sharp interface reduction for multiphase transport in a porous fuel cell electrode. Zbl 1149.76675
Promislow, Keith; Stockie, John; Wetton, Brian
2006
Electrical coupling in proton exchange membrane fuel cell stacks: mathematical and computational modelling. Zbl 1121.92073
Berg, Peter; Caglar, Atife; Promislow, Keith; St-Pierre, Jean; Wetton, Brian
2006
Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators. Zbl 1070.35089
Moore, Richard O.; Promislow, Keith
2005
A finite volume method for multicomponent gas transport in a porous fuel cell electrode. Zbl 1023.76027
Stockie, John M.; Promislow, Keith; Wetton, Brian R.
2003
A renormalization method for modulational stability of quasi-steady patterns in dispersive systems. Zbl 1019.34057
Promislow, Keith
2002
Adiabatic relaxation of convective-diffusive gas transport in a porous fuel cell electrode. Zbl 0999.35044
Promislow, Keith; Stockie, John M.
2001
The mechanism of the polarizational mode instability in birefringent fiber optics. Zbl 0970.35141
Li, Yi A.; Promislow, Keith
2000
Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator. Zbl 0973.78026
Promislow, Keith; Kutz, J. Nathan
2000
Fourier splitting and dissipation of nonlinear dispersive waves. Zbl 0947.35130
Bona, J. L.; Demengel, F.; Promislow, K.
1999
Structural stability of non-ground state traveling waves of coupled nonlinear Schrödinger equations. Zbl 0934.35173
Li, Y. A.; Promislow, K.
1998
Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations. Zbl 0837.35130
Bona, J. L.; Promislow, K. S.; Wayne, C. E.
1995
On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations. Zbl 0823.35018
Bona, Jerry; Promislow, Keith; Wayne, Gene
1994
Time analyticity and Gevrey regularity for solutions of a class of dissipative partial differential equations. Zbl 0737.35009
Promislow, Keith
1991
Localization and approximation of attractors for the Ginzburg-Landau equation. Zbl 0751.34036
Promislov, Keith; Temam, Roger
1991
Approximate interaction laws for small and large waves in Ginzburg-Landau equation. Zbl 0733.35096
Promislow, Keith; Temam, Roger
1991
Induced trajectories and approximate inertial manifolds for the Ginzburg- Landau partial differential equation. Zbl 0696.35177
Promislow, Keith
1990
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Cited by 476 Authors

 22 Promislow, Keith Steven 14 Doelman, Arjen 14 van Heijster, Peter 12 Stefanov, Atanas G. 9 Johnson, Mathew A. 9 Kapitula, Todd M. 9 Stanislavova, Milena 8 Ward, Michael J. 7 Wang, Cheng 7 Wise, Steven M. 6 Latushkin, Yuri 6 Marangell, Robert 6 Yang, Xiaofeng 5 Ghazaryan, Anna 5 Goubet, Olivier 5 Guo, Boling 5 Lafortune, Stéphane 5 Lu, Shujuan 5 Rademacher, Jens Diederich Michael 5 Sandstede, Björn 5 Scheel, Arnd 5 Teramoto, Takashi 5 Wang, Qi 5 Wei, Juncheng 5 Wetton, Brian R. 5 Zumbrun, Kevin R. 4 Bona, Jerry Lloyd 4 Bronski, Jared C. 4 Christlieb, Andrew J. 4 de Rijk, Björn 4 Feng, Wenqiang 4 Gavish, Nir 4 Glasner, Karl B. 4 Howard, Peter 4 Hupkes, Hermen Jan 4 Jones, Christopher K. R. T. 4 Lu, Hong 4 Naumkin, Pavel Ivanovich 4 Nishiura, Yasumasa 4 Pelinovsky, Dmitry Efimovich 4 Plaza, Ramón G. 4 Sukhtayev, Alim 4 Titi, Edriss Saleh 4 Wu, Qiliang 4 Yang, Jianke 4 Zhao, Jia 3 Barker, Blake 3 Bastiaansen, Robbin 3 Beck, Margaret 3 Braga, Gastão A. 3 Chen, Chaonien 3 Chirilus-Bruckner, Martina 3 Cox, Graham 3 Dai, Shibin 3 Deconinck, Bernard 3 Gong, Yuezheng 3 Hakkaev, Sevdzhan A. 3 Hamster, C. H. S. 3 Hayashi, Nakao 3 Hur, Vera Mikyoung 3 Kaikina, Elena Igorevna 3 Karasözen, Bülent 3 Kevrekidis, Panayotis G. 3 Lattanzio, Corrado 3 Li, Dong 3 Li, Fang 3 Manukian, Vahagn 3 Ouyang, Jie 3 Robinson, James Cooper 3 Rodrigues, Luis Miguel 3 Shirokoff, David 3 Temam, Roger Meyer 3 Tse, Wang Hung 3 Uzunca, Murat 3 Veerman, Frits 3 Vega, José Manuel 3 You, Bo 3 Zhang, Chenhui 3 Zhang, Mingji 2 Alouini, Brahim 2 Baricz, Árpád 2 Beyn, Wolf-Jürgen 2 Carter, Paul M. 2 Causley, Matthew F. 2 Chen, Wenbin 2 Cheng, Xinyu 2 Cho, Hana 2 Cornwell, Paul 2 Dai, Zhengde 2 Dasgupta, Anirvan 2 DiPietro, Kelsey L. 2 Feng, Wen 2 Friz, Peter Karl 2 Gao, Yali 2 Han, Daozhi 2 Haragus, Mariana 2 Harley, Kristen E. 2 Hayrapetyan, Gurgen 2 Holzer, Matt 2 Humpherys, Jeffrey ...and 376 more Authors
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Cited in 98 Serials

 36 Physica D 19 Journal of Differential Equations 16 SIAM Journal on Applied Dynamical Systems 14 Journal of Computational Physics 13 SIAM Journal on Mathematical Analysis 11 Discrete and Continuous Dynamical Systems. Series B 8 Journal of Scientific Computing 8 SIAM Journal on Applied Mathematics 8 Journal of Dynamics and Differential Equations 8 Journal of Nonlinear Science 7 Journal of Mathematical Analysis and Applications 7 Studies in Applied Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 SIAM Journal on Numerical Analysis 5 Communications in Mathematical Physics 5 Journal of Computational and Applied Mathematics 5 Proceedings of the American Mathematical Society 5 Applied Numerical Mathematics 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Applied Mathematics and Computation 4 European Journal of Applied Mathematics 4 Discrete and Continuous Dynamical Systems 3 Computers & Mathematics with Applications 3 Nonlinearity 3 Journal of Functional Analysis 3 Numerical Functional Analysis and Optimization 3 Acta Mathematicae Applicatae Sinica. English Series 3 Japan Journal of Industrial and Applied Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Scientific Computing 3 Multiscale Modeling & Simulation 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 Mathematics and Computers in Simulation 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Mathematical Problems in Engineering 2 Acta Mathematica Sinica. English Series 2 Journal of Evolution Equations 2 Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Integral Equations and Operator Theory 1 Le Matematiche 1 Numerische Mathematik 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 International Journal of Computational Fluid Dynamics 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Central European Journal of Mathematics 1 International Journal of Computational Methods 1 Cubo 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Mathematical Physics 1 Journal of Theoretical Biology 1 Molecular Based Mathematical Biology 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Computational and Mathematical Biophysics
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Cited in 37 Fields

 263 Partial differential equations (35-XX) 68 Numerical analysis (65-XX) 63 Fluid mechanics (76-XX) 62 Dynamical systems and ergodic theory (37-XX) 36 Ordinary differential equations (34-XX) 31 Biology and other natural sciences (92-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Operator theory (47-XX) 12 Optics, electromagnetic theory (78-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Mechanics of deformable solids (74-XX) 7 Differential geometry (53-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)