## Chen, Geng

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 Author ID: chen.geng Published as: Chen, Geng
 Documents Indexed: 66 Publications since 1982 1 Contribution as Editor Co-Authors: 48 Co-Authors with 41 Joint Publications 1,872 Co-Co-Authors
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### Co-Authors

 8 single-authored 7 Bressan, Alberto 6 Zhang, Qingtian 5 Cai, Hong 4 Shen, Yannan 4 Sun, Zhihui 4 Young, Robin L. 4 Zhu, Shengguo 3 Hadim, H. A. 3 Ni, Weiwei 2 Broeckmann, Christoph 2 Chen, Robin Ming 2 Du, Yi 2 Huang, Tao 2 Jenssen, Helge Kristian 2 Lu, Jieping 2 Luo, Sheng 2 Pan, Ronghua 2 Zhang, Lele 2 Zheng, Yuxi 2 Zhu, Yuquan 1 Beceanu, Marius 1 Bezold, Alexander 1 Bona, Jerry Lloyd 1 Chang, Peng 1 Chen, Gui-Qiang G. 1 Chen, Liang 1 Chen, Qian 1 Davies, A. E. 1 Endres, Erik E. 1 Fang, Chao 1 Fujinaka, Toru 1 Jian, Liya 1 Liu, Chun 1 Liu, Jianli 1 Liu, Shiming 1 Liu, Weishi 1 Liu, Yue 1 Liu, Yuebo 1 Lyubimova, Tatyana P. 1 Mei, Hongwei 1 Phan, Tuoc Van 1 Qin, Fang 1 Roux, Bernard H. 1 Russell, David L. 1 Skuridin, R. V. 1 Soffer, Avraham 1 Song, Yuqing 1 Tan, Zhong 1 Volz, S. Gunter 1 Wang, Yuanjun 1 Wang, Yuqi 1 Weichert, Dieter 1 Weng, George J. 1 Wu, Yingjie 1 Yang, Xiutai 1 Zhang, Ping 1 Zheng, Shijun 1 Zhou, Yi
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### Serials

 6 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Discrete and Continuous Dynamical Systems 3 Journal of Hyperbolic Differential Equations 2 Journal of Sound and Vibration 2 The Computer Journal. Section A / Section B 2 Indiana University Mathematics Journal 2 Communications in Partial Differential Equations 2 Applied Mathematics. Series A (Chinese Edition) 2 Journal of Porous Media 2 Journal of Southeast University. Natural Science Edition 2 Journal of Software 1 Modern Physics Letters B 1 Acta Mechanica 1 AIAA Journal 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 International Journal of Theoretical Physics 1 Journal of Applied Mechanics 1 Journal of Mathematical Analysis and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Biometrical Journal 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Journal of Hunan University 1 Heat and Technology 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mechanics 1 COMPEL 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 International Journal of Adaptive Control and Signal Processing 1 Communications in Statistics. Simulation and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Mathematics and Mechanics of Solids 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 Journal of Systems Engineering 1 Contemporary Mathematics 1 Journal of Computer Applications
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### Fields

 33 Partial differential equations (35-XX) 21 Fluid mechanics (76-XX) 9 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Mechanics of particles and systems (70-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

43 Publications have been cited 316 times in 104 Documents Cited by Year
A mathematical model for linear elastic systems with structural damping. Zbl 0515.73033
Chen, G.; Russell, D. L.
1982
Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics. Zbl 1304.35017
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2015
Singularity formation for the compressible Euler equations. Zbl 1370.76157
Chen, Geng; Pan, Ronghua; Zhu, Shengguo
2017
Unique conservative solutions to a variational wave equation. Zbl 1331.35237
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2015
Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations. Zbl 1395.76036
Chen, Geng
2011
Generic regularity of conservative solutions to a nonlinear wave equation. Zbl 1375.35062
Bressan, Alberto; Chen, Geng
2017
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals. Zbl 1264.35139
Chen, Geng; Zhang, Ping; Zheng, Yuxi
2013
Shock formation in the compressible Euler equations and related systems. Zbl 1452.35137
Chen, Geng; Young, Robin; Zhang, Qingtian
2013
Lipschitz metrics for a class of nonlinear wave equations. Zbl 1386.35273
Bressan, Alberto; Chen, Geng
2017
Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation. Zbl 1237.35119
Chen, Geng; Young, Robin
2012
Singularity and existence for a wave system of nematic liquid crystals. Zbl 1254.35186
Chen, Geng; Zheng, Yuxi
2013
Shock-free solutions of the compressible Euler equations. Zbl 1317.35182
Chen, Geng; Young, Robin
2015
Shape sensitivity analysis in mixed-mode fracture mechanics. Zbl 1068.74596
Chen, G.; Rahman, S.; Park, Y. H.
2001
Optimal time-dependent lower bound on density for classical solutions of 1-D compressible Euler equations. Zbl 1368.35213
Chen, Geng
2017
Existence and regularity of solutions in nonlinear wave equations. Zbl 1332.35230
Chen, Geng; Shen, Yannan
2015
Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. Zbl 07038013
Chen, Geng; Chen, Robin Ming; Liu, Yue
2018
Lipschitz metric for the Novikov equation. Zbl 1402.35242
Cai, Hong; Chen, Geng; Chen, Robin Ming; Shen, Yannan
2018
Applications of a generalized Galerkin’s method to non-linear oscillations of two-degree-of-freedom systems. Zbl 1235.70061
Chen, G.
1987
Lipschitz metric for conservative solutions of the two-component Camassa-Holm system. Zbl 1365.35133
Cai, Hong; Chen, Geng; Shen, Yannan
2017
Finite time singularities for hyperbolic systems. Zbl 1316.35005
Chen, Geng; Huang, Tao; Liu, Chun
2015
Thermogravitational and thermocapillary convection in a cavity containing two superposed immiscible liquid layers. Zbl 0764.76065
Liu, Q. S.; Chen, G.; Roux, B.
1993
No TVD fields for 1-D isentropic gas flow. Zbl 1336.76032
Chen, Geng; Jenssen, Helge Kristian
2013
A genetic algorithm based multi-dimensional data association algorithm for multi-sensor-multi-target tracking. Zbl 0894.68069
Chen, G.; Hong, L.
1997
Pairwise wave interactions in ideal polytropic gases. Zbl 1287.76159
Chen, Geng; Endres, Erik E.; Jenssen, Helge Kristian
2012
Uniqueness and regularity of conservative solution to a wave system modeling nematic liquid crystal. Zbl 1406.35183
Cai, Hong; Chen, Geng; Du, Yi
2018
No BV bounds for approximate solutions to $$p$$-system with general pressure law. Zbl 1347.35159
Bressan, Alberto; Chen, Geng; Zhang, Qingtian; Zhu, Shengguo
2015
Lack of BV bounds for approximate solutions to the $$p$$-system with large data. Zbl 1288.35339
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2014
Statistical investigation on influence of grain size on effective strengths of particulate reinforced metal matrix composites. Zbl 1441.74054
Chen, Geng; Zhang, Lele; Bezold, Alexander; Broeckmann, Christoph; Weichert, Dieter
2019
A polygonal scheme and the lower bound on density for the isentropic gas dynamics. Zbl 1415.76519
Chen, Geng; Pan, Ronghua; Zhu, Shengguo
2019
Generic regularity and Lipschitz metric for the Hunter-Saxton type equations. Zbl 1361.35153
Cai, Hong; Chen, Geng; Shen, Yannan; Tan, Zhong
2017
Robust Bayesian hierarchical model using normal/independent distributions. Zbl 1386.62046
Chen, Geng; Luo, Sheng
2016
Numerical study of non-Darcy forced convection in a packed bed saturated with a power-law fluid. Zbl 0926.76106
1998
Numerical study of three-dimensional non-Darcy forced convection in a square porous duct. Zbl 0964.76081
1999
Elastic-plastic finite element analysis of thermoplastic composite plates and shells. Zbl 0751.73060
Sun, C. T.; Chen, G.
1992
Unconstrained variational statements for initial and boundary-value problems via the principle of total virtual action. Zbl 0721.73049
Chen, G.
1990
Restructuring Pascal programs containing goto statements. Zbl 0559.68012
Williams, M. H.; Chen, G.
1985
Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to high-frequency vibrations under zero gravity conditions. Zbl 1075.76534
Lyubimov, D. V.; Lyubimova, T. P.; Skuridin, R. V.; Chen, G.; Roux, B.
2002
Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model. Zbl 1433.35262
Chen, Geng; Huang, Tao; Liu, Weishi
2020
Lower bound limit and shakedown analysis of orthotropic material. Zbl 1482.74146
Qin, Fang; Zhang, Lele; Chen, Geng; Broeckmann, Christoph
2020
On finite time BV blow-up for the p-system. Zbl 1418.35042
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2018
A generalized Galerkin’s method for non-linear oscillators. Zbl 1235.70147
Chen, G.
1987
Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005
2019
Optimal density lower bound on nonisentropic gas dynamics. Zbl 1457.76130
Chen, Geng
2020
Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model. Zbl 1433.35262
Chen, Geng; Huang, Tao; Liu, Weishi
2020
Lower bound limit and shakedown analysis of orthotropic material. Zbl 1482.74146
Qin, Fang; Zhang, Lele; Chen, Geng; Broeckmann, Christoph
2020
Optimal density lower bound on nonisentropic gas dynamics. Zbl 1457.76130
Chen, Geng
2020
Statistical investigation on influence of grain size on effective strengths of particulate reinforced metal matrix composites. Zbl 1441.74054
Chen, Geng; Zhang, Lele; Bezold, Alexander; Broeckmann, Christoph; Weichert, Dieter
2019
A polygonal scheme and the lower bound on density for the isentropic gas dynamics. Zbl 1415.76519
Chen, Geng; Pan, Ronghua; Zhu, Shengguo
2019
Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Zbl 1414.35005
2019
Existence and uniqueness of the global conservative weak solutions for the integrable Novikov equation. Zbl 07038013
Chen, Geng; Chen, Robin Ming; Liu, Yue
2018
Lipschitz metric for the Novikov equation. Zbl 1402.35242
Cai, Hong; Chen, Geng; Chen, Robin Ming; Shen, Yannan
2018
Uniqueness and regularity of conservative solution to a wave system modeling nematic liquid crystal. Zbl 1406.35183
Cai, Hong; Chen, Geng; Du, Yi
2018
On finite time BV blow-up for the p-system. Zbl 1418.35042
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2018
Singularity formation for the compressible Euler equations. Zbl 1370.76157
Chen, Geng; Pan, Ronghua; Zhu, Shengguo
2017
Generic regularity of conservative solutions to a nonlinear wave equation. Zbl 1375.35062
Bressan, Alberto; Chen, Geng
2017
Lipschitz metrics for a class of nonlinear wave equations. Zbl 1386.35273
Bressan, Alberto; Chen, Geng
2017
Optimal time-dependent lower bound on density for classical solutions of 1-D compressible Euler equations. Zbl 1368.35213
Chen, Geng
2017
Lipschitz metric for conservative solutions of the two-component Camassa-Holm system. Zbl 1365.35133
Cai, Hong; Chen, Geng; Shen, Yannan
2017
Generic regularity and Lipschitz metric for the Hunter-Saxton type equations. Zbl 1361.35153
Cai, Hong; Chen, Geng; Shen, Yannan; Tan, Zhong
2017
Robust Bayesian hierarchical model using normal/independent distributions. Zbl 1386.62046
Chen, Geng; Luo, Sheng
2016
Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics. Zbl 1304.35017
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2015
Unique conservative solutions to a variational wave equation. Zbl 1331.35237
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2015
Shock-free solutions of the compressible Euler equations. Zbl 1317.35182
Chen, Geng; Young, Robin
2015
Existence and regularity of solutions in nonlinear wave equations. Zbl 1332.35230
Chen, Geng; Shen, Yannan
2015
Finite time singularities for hyperbolic systems. Zbl 1316.35005
Chen, Geng; Huang, Tao; Liu, Chun
2015
No BV bounds for approximate solutions to $$p$$-system with general pressure law. Zbl 1347.35159
Bressan, Alberto; Chen, Geng; Zhang, Qingtian; Zhu, Shengguo
2015
Lack of BV bounds for approximate solutions to the $$p$$-system with large data. Zbl 1288.35339
Bressan, Alberto; Chen, Geng; Zhang, Qingtian
2014
Energy conservative solutions to a nonlinear wave system of nematic liquid crystals. Zbl 1264.35139
Chen, Geng; Zhang, Ping; Zheng, Yuxi
2013
Shock formation in the compressible Euler equations and related systems. Zbl 1452.35137
Chen, Geng; Young, Robin; Zhang, Qingtian
2013
Singularity and existence for a wave system of nematic liquid crystals. Zbl 1254.35186
Chen, Geng; Zheng, Yuxi
2013
No TVD fields for 1-D isentropic gas flow. Zbl 1336.76032
Chen, Geng; Jenssen, Helge Kristian
2013
Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equation. Zbl 1237.35119
Chen, Geng; Young, Robin
2012
Pairwise wave interactions in ideal polytropic gases. Zbl 1287.76159
Chen, Geng; Endres, Erik E.; Jenssen, Helge Kristian
2012
Formation of singularity and smooth wave propagation for the non-isentropic compressible Euler equations. Zbl 1395.76036
Chen, Geng
2011
Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to high-frequency vibrations under zero gravity conditions. Zbl 1075.76534
Lyubimov, D. V.; Lyubimova, T. P.; Skuridin, R. V.; Chen, G.; Roux, B.
2002
Shape sensitivity analysis in mixed-mode fracture mechanics. Zbl 1068.74596
Chen, G.; Rahman, S.; Park, Y. H.
2001
Numerical study of three-dimensional non-Darcy forced convection in a square porous duct. Zbl 0964.76081
1999
Numerical study of non-Darcy forced convection in a packed bed saturated with a power-law fluid. Zbl 0926.76106
1998
A genetic algorithm based multi-dimensional data association algorithm for multi-sensor-multi-target tracking. Zbl 0894.68069
Chen, G.; Hong, L.
1997
Thermogravitational and thermocapillary convection in a cavity containing two superposed immiscible liquid layers. Zbl 0764.76065
Liu, Q. S.; Chen, G.; Roux, B.
1993
Elastic-plastic finite element analysis of thermoplastic composite plates and shells. Zbl 0751.73060
Sun, C. T.; Chen, G.
1992
Unconstrained variational statements for initial and boundary-value problems via the principle of total virtual action. Zbl 0721.73049
Chen, G.
1990
Applications of a generalized Galerkin’s method to non-linear oscillations of two-degree-of-freedom systems. Zbl 1235.70061
Chen, G.
1987
A generalized Galerkin’s method for non-linear oscillators. Zbl 1235.70147
Chen, G.
1987
Restructuring Pascal programs containing goto statements. Zbl 0559.68012
Williams, M. H.; Chen, G.
1985
A mathematical model for linear elastic systems with structural damping. Zbl 0515.73033
Chen, G.; Russell, D. L.
1982
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### Cited by 139 Authors

 24 Chen, Geng 7 Bressan, Alberto 7 Cai, Hong 7 Zhang, Qingtian 6 Hu, Yanbo 4 Guan, Chunxia 4 Liu, Jianli 4 Liu, Yue 4 Mu, Chunlai 4 Shen, Yannan 4 Zhou, Shouming 4 Zhu, Shengguo 3 Tan, Zhong 3 Tu, Xinyu 3 Wang, Guodong 3 Yin, Zhaoyang 2 Chen, Robin Ming 2 Du, Yi 2 Galtung, Sondre Tesdal 2 Grunert, Katrin 2 Huang, Tao 2 Jamróz, Grzegorz 2 Jiang, Ning 2 Liu, Chun 2 Liu, Hailiang 2 Liu, Weishi 2 Luo, Yi-Long 2 Mei, Ming 2 Pan, Ronghua 2 Sugiyama, Yuusuke 2 Sui, Ying 2 Yang, Shaojie 2 Ye, Weikui 2 Young, Robin L. 2 Yu, Huimin 2 Zheng, Yuxi 1 Athanasiou, Nikolaos 1 Bauer, Martin 1 Bianchini, Roberta 1 Broeckmann, Christoph 1 Camassa, Roberto 1 Chen, Gui-Qiang G. 1 Chen, Lina 1 Chen, Shaohua 1 Cheng, Bin 1 Cheng, Wenguang 1 Coclite, Giuseppe Maria 1 Duan, Chenghua 1 Duan, Wenhui 1 Falqui, Gregorio 1 Fu, Ying 1 Gao, Yu 1 Geng, Shifeng 1 Glass, Olivier 1 Gugat, Martin 1 Gui, Guilong 1 Guo, Yingying 1 Han, Xuanxuan 1 He, Zhiqian 1 Ho, Phuc L. H. 1 Holden, Helge 1 Holzegel, Gustav 1 Huang, Jingchi 1 Huang, Kaiyin 1 Jenssen, Helge Kristian 1 Ji, Pengpeng 1 Jiao, Jia 1 Kapogiannis, I. A. 1 Kolev, Boris 1 Lai, Geng 1 Lai, Shaoyong 1 Le Van Canh 1 Lee, Jaemin 1 Li, Haitong 1 Li, Jing 1 Li, Jingyu 1 Li, Mingjie 1 Li, Siran 1 Lin, Yanping 1 Linares, Felipe 1 Liu, Ruixi 1 Luk, Jonathan 1 Lundmark, Hans 1 Luo, Sheng 1 Luo, Yushuang 1 Mei, Hongwei 1 Miao, Liangying 1 Ming, Sen 1 Molinet, Luc 1 Natali, Fábio M. Amorin 1 Ortenzi, Giovanni 1 Pan, Shihang 1 Pedroni, Marco 1 Pelinovsky, Dmitry Efimovich 1 Perrin, Charlotte 1 Pitton, Giuseppe 1 Ponce, Gustavo 1 Preston, Stephen C. 1 Qin, Fang 1 Qiu, Shuyan ...and 39 more Authors
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### Cited in 50 Serials

 14 Journal of Differential Equations 9 SIAM Journal on Mathematical Analysis 6 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Analysis and Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Discrete and Continuous Dynamical Systems 4 Journal of Mathematical Fluid Mechanics 4 Journal of Hyperbolic Differential Equations 3 Nonlinear Analysis. Real World Applications 2 Journal of Mathematical Physics 2 Nonlinearity 2 Applied Mathematics Letters 2 Journal of Dynamics and Differential Equations 2 European Journal of Mechanics. A. Solids 1 Applicable Analysis 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Journal of Geometry and Physics 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Communications in Statistics. Simulation and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 Mathematics and Mechanics of Solids 1 Journal of Evolution Equations 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 Advances in Mathematical Physics 1 Evolution Equations and Control Theory 1 Research in the Mathematical Sciences 1 Annals of PDE 1 AIMS Mathematics 1 Electronic Research Archive
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### Cited in 24 Fields

 96 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)