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## Bostan, Mihai

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 Author ID: bostan.mihai Published as: Bostan, M.; Bostan, Mihai; Bostan, Mihaï
 Documents Indexed: 65 Publications since 1997, including 1 Book
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#### Co-Authors

 34 single-authored 4 Carrillo de la Plata, José Antonio 3 Caldini-Queiros, Céline 3 Finot, Aurélie 3 Martínez Gamba, Irene 3 Goudon, Thierry 3 Hild, Patrick 3 Namah, Gawtum 3 Poupaud, Frédéric 2 Blanc, Thomas 1 Boyer, Franck 1 Canon, Éric 1 Crouseilles, Nicolas 1 Hauray, Maxime 1 Labrunie, Simon 1 Lleras, Vanessa 1 Negulescu, Claudia 1 Sonnendrücker, Eric 1 Thierry, Caroline 1 Vasseur, Alexis F.
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#### Serials

 5 SIAM Journal on Mathematical Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Differential Equations 3 Quarterly of Applied Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Multiscale Modeling & Simulation 2 Mathematical Methods in the Applied Sciences 2 Indiana University Mathematics Journal 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Communications in Mathematical Sciences 2 Kinetic and Related Models 1 IMA Journal of Applied Mathematics 1 Journal of Statistical Physics 1 Nonlinearity 1 Journal of the Korean Mathematical Society 1 Numerische Mathematik 1 Libertas Mathematica 1 Chinese Annals of Mathematics. Series B 1 Numerical Methods for Partial Differential Equations 1 Differential and Integral Equations 1 Journal of Physics A: Mathematical and General 1 Discrete and Continuous Dynamical Systems 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Electronic Journal of Differential Equations. Monograph 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S
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#### Fields

 54 Partial differential equations (35-XX) 33 Statistical mechanics, structure of matter (82-XX) 30 Optics, electromagnetic theory (78-XX) 8 Fluid mechanics (76-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Relativity and gravitational theory (83-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Astronomy and astrophysics (85-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

49 Publications have been cited 265 times in 112 Documents Cited by Year
Transport equations with disparate advection fields. Application to the gyrokinetic models in plasma physics. Zbl 1229.35298
Bostan, Mihai
2010
The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime. Zbl 1180.35501
Bostan, Mihai
2009
Gyrokinetic Vlasov equation in three dimensional setting. Second order approximation. Zbl 1220.35176
Bostan, Mihai
2010
The Vlasov-Maxwell system with strong initial magnetic field: guiding-center approximation. Zbl 1158.35428
Bostan, Mihai
2007
Transport of charged particles under fast oscillating magnetic fields. Zbl 1256.35170
Bostan, Mihai
2012
Multiscale analysis for linear first order PDEs. The finite Larmor radius regime. Zbl 1351.35218
Bostan, Mihai
2016
Finite Larmor radius approximation for collisional magnetic confinement. II: The Fokker-Planck-Landau equation. Zbl 1298.35223
Bostan, Mihai; Caldini-Queiros, Céline
2014
Finite Larmor radius approximation for collisional magnetic confinement. I: The linear Boltzmann equation. Zbl 1290.35268
Bostan, Mihai; Caldini-Queiros, Céline
2014
Existence and uniqueness of the mild solution for the 1D Vlasov–Poisson initial-boundary value problem. Zbl 1099.35149
Bostan, M.
2005
The effective Vlasov-Poisson system for the finite Larmor radius regime. Zbl 1356.35251
Bostan, Mihaï; Finot, Aurélie
2016
Asymptotic fixed-speed reduced dynamics for kinetic equations in swarming. Zbl 1322.35136
Bostan, Mihai; Carrillo, Jose Antonio
2013
Strongly anisotropic diffusion problems; asymptotic analysis. Zbl 1288.35468
Bostan, Mihai
2014
Finite Larmor radius approximation for collisional magnetized plasmas. Zbl 1256.35167
Bostan, Mihaï; Caldini-Queiros, Céline
2012
Mathematical models for strongly magnetized plasmas with mass disparate particles. Zbl 1222.35198
Bostan, Mihai; Negulescu, Claudia
2011
Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system: the one and one half dimensional case. Zbl 1185.35287
Bostan, Mihai; Goudon, Thierry
2008
Time periodic viscosity solutions of Hamilton-Jacobi equations. Zbl 1131.35301
Bostan, Mihai; Namah, Gawtum
2007
Reduced fluid models for self-propelled particles interacting through alignment. Zbl 1372.92117
Bostan, Mihai; Carrillo, Jose Antonio
2017
The effective Vlasov-Poisson system for strongly magnetized plasmas. Zbl 1348.78010
Bostan, Mihaï; Finot, Aurélie; Hauray, Maxime
2016
On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields. Zbl 1315.35138
Bostan, Mihai
2015
Impact of strong magnetic fields on collision mechanism for transport of charged particles. Zbl 1267.82125
Bostan, Mihai; Gamba, Irene M.
2012
Mild solutions for the relativistic Vlasov-Maxwell system for laser-plasma interaction. Zbl 1132.35086
Bostan, Mihai
2007
Asymptotic behavior of weak solutions for the relativistic Vlasov-Maxwell equations with large light speed. Zbl 1107.35021
Bostan, Mihai
2006
Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system. Zbl 1109.35109
Bostan, M.
2005
Periodic solutions for evolution equations. Zbl 1010.34060
Bostan, Mihai
2002
High magnetic field equilibria for the Fokker-Planck-Landau equation. Zbl 1350.35187
Bostan, Mihai
2016
Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062
Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis
2010
High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1157.35486
Bostan, Mihai; Goudon, Thierry
2008
Weak solutions for the Vlasov-Poisson initial-boundary value problem with bounded electric field. Zbl 1128.35031
Bostan, Mihai
2007
Boundary value problem for the $$N$$-dimensional time periodic Vlasov-Poisson system. Zbl 1108.35023
Bostan, M.
2006
Time periodic solutions for the Vlasov-Maxwell equations. Zbl 1073.35203
Bostan, Mihai
2004
Permanent regimes for the 1D Vlasov-Poisson system with boundary conditions. Zbl 1054.35104
Bostan, M.
2003
Periodic solutions of the Vlasov-Poisson system with boundary conditions. Zbl 0895.35079
Bostan, Mihai; Poupaud, Frédéric
1997
Asymptotic behavior for the Vlasov-Poisson equations with strong external magnetic field. Straight magnetic field lines. Zbl 1419.35188
Bostan, Mihai
2019
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach. Zbl 1364.35361
Blanc, Thomas; Bostan, Mihai; Boyer, Franck
2017
Gyrokinetic models for strongly magnetized plasmas with general magnetic shape. Zbl 1245.35129
Bostan, Mihai
2012
Collisional models for strongly magnetized plasmas. The gyrokinetic Fokker-Planck equation. Zbl 1210.35257
Bostan, Mihai
2010
Analysis of a particle method for the one-dimensional Vlasov-Maxwell system. Zbl 1168.78318
Bostan, Mihai
2009
Weak formulations and solution multiplicity of equilibrium configurations with Coulomb friction. Zbl 1160.74359
Bostan, M.; Hild, P.
2009
Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-plasma interaction. Zbl 1160.76037
Bostan, Mihai; Crouseilles, Nicolas
2009
Starting flow analysis for Bingham fluids. Zbl 1094.76003
Bostan, Mihai; Hild, Patrick
2006
Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions. Zbl 0965.35010
Bostan, M.; Poupaud, F.
2000
The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099
Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry
2010
Remarks on bounded solutions of steady Hamilton-Jacobi equations. Zbl 1179.35094
Bostan, Mihaï; Namah, Gawtum
2009
On asymptotic properties for some parameter-dependent variational inequalities. Zbl 1158.49009
Bostan, Mihai; Canon, Eric; Hild, Patrick
2009
Mild solutions for the one-dimensional Nordström-Vlasov system. Zbl 1172.35300
Bostan, Mihai
2007
Almost periodic solutions for first-order differential equations. Zbl 1212.35486
Bostan, Mihai
2006
Convergence of weak solutions for the stationary Vlasov-Maxwell system to weak solutions for the stationary Vlasov-Poisson system for infinite light speed. Zbl 1075.35092
Bostan, Mihai
2005
Periodic solutions for evolution equations. Zbl 1047.34065
Bostan, Mihai
2001
Periodic solutions of the Vlasov-Poisson system with boundary conditions. Zbl 1019.76047
Bostan, M.; Poupaud, F.
2000
Asymptotic behavior for the Vlasov-Poisson equations with strong external magnetic field. Straight magnetic field lines. Zbl 1419.35188
Bostan, Mihai
2019
Reduced fluid models for self-propelled particles interacting through alignment. Zbl 1372.92117
Bostan, Mihai; Carrillo, Jose Antonio
2017
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach. Zbl 1364.35361
Blanc, Thomas; Bostan, Mihai; Boyer, Franck
2017
Multiscale analysis for linear first order PDEs. The finite Larmor radius regime. Zbl 1351.35218
Bostan, Mihai
2016
The effective Vlasov-Poisson system for the finite Larmor radius regime. Zbl 1356.35251
Bostan, Mihaï; Finot, Aurélie
2016
The effective Vlasov-Poisson system for strongly magnetized plasmas. Zbl 1348.78010
Bostan, Mihaï; Finot, Aurélie; Hauray, Maxime
2016
High magnetic field equilibria for the Fokker-Planck-Landau equation. Zbl 1350.35187
Bostan, Mihai
2016
On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields. Zbl 1315.35138
Bostan, Mihai
2015
Finite Larmor radius approximation for collisional magnetic confinement. II: The Fokker-Planck-Landau equation. Zbl 1298.35223
Bostan, Mihai; Caldini-Queiros, Céline
2014
Finite Larmor radius approximation for collisional magnetic confinement. I: The linear Boltzmann equation. Zbl 1290.35268
Bostan, Mihai; Caldini-Queiros, Céline
2014
Strongly anisotropic diffusion problems; asymptotic analysis. Zbl 1288.35468
Bostan, Mihai
2014
Asymptotic fixed-speed reduced dynamics for kinetic equations in swarming. Zbl 1322.35136
Bostan, Mihai; Carrillo, Jose Antonio
2013
Transport of charged particles under fast oscillating magnetic fields. Zbl 1256.35170
Bostan, Mihai
2012
Finite Larmor radius approximation for collisional magnetized plasmas. Zbl 1256.35167
Bostan, Mihaï; Caldini-Queiros, Céline
2012
Impact of strong magnetic fields on collision mechanism for transport of charged particles. Zbl 1267.82125
Bostan, Mihai; Gamba, Irene M.
2012
Gyrokinetic models for strongly magnetized plasmas with general magnetic shape. Zbl 1245.35129
Bostan, Mihai
2012
Mathematical models for strongly magnetized plasmas with mass disparate particles. Zbl 1222.35198
Bostan, Mihai; Negulescu, Claudia
2011
Transport equations with disparate advection fields. Application to the gyrokinetic models in plasma physics. Zbl 1229.35298
Bostan, Mihai
2010
Gyrokinetic Vlasov equation in three dimensional setting. Second order approximation. Zbl 1220.35176
Bostan, Mihai
2010
Boundary value problems for the stationary Vlasov-Boltzmann-Poisson equation. Zbl 1236.82062
Bostan, Mihai; Gamba, Irene M.; Thierry; Vasseur, Alexis
2010
Collisional models for strongly magnetized plasmas. The gyrokinetic Fokker-Planck equation. Zbl 1210.35257
Bostan, Mihai
2010
The linear Boltzmann equation with space periodic electric field. Zbl 1208.35099
Bostan, Mihai; Gamba, Irene M.; Goudon, Thierry
2010
The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime. Zbl 1180.35501
Bostan, Mihai
2009
Analysis of a particle method for the one-dimensional Vlasov-Maxwell system. Zbl 1168.78318
Bostan, Mihai
2009
Weak formulations and solution multiplicity of equilibrium configurations with Coulomb friction. Zbl 1160.74359
Bostan, M.; Hild, P.
2009
Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-plasma interaction. Zbl 1160.76037
Bostan, Mihai; Crouseilles, Nicolas
2009
Remarks on bounded solutions of steady Hamilton-Jacobi equations. Zbl 1179.35094
Bostan, Mihaï; Namah, Gawtum
2009
On asymptotic properties for some parameter-dependent variational inequalities. Zbl 1158.49009
Bostan, Mihai; Canon, Eric; Hild, Patrick
2009
Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system: the one and one half dimensional case. Zbl 1185.35287
Bostan, Mihai; Goudon, Thierry
2008
High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system. Zbl 1157.35486
Bostan, Mihai; Goudon, Thierry
2008
The Vlasov-Maxwell system with strong initial magnetic field: guiding-center approximation. Zbl 1158.35428
Bostan, Mihai
2007
Time periodic viscosity solutions of Hamilton-Jacobi equations. Zbl 1131.35301
Bostan, Mihai; Namah, Gawtum
2007
Mild solutions for the relativistic Vlasov-Maxwell system for laser-plasma interaction. Zbl 1132.35086
Bostan, Mihai
2007
Weak solutions for the Vlasov-Poisson initial-boundary value problem with bounded electric field. Zbl 1128.35031
Bostan, Mihai
2007
Mild solutions for the one-dimensional Nordström-Vlasov system. Zbl 1172.35300
Bostan, Mihai
2007
Asymptotic behavior of weak solutions for the relativistic Vlasov-Maxwell equations with large light speed. Zbl 1107.35021
Bostan, Mihai
2006
Boundary value problem for the $$N$$-dimensional time periodic Vlasov-Poisson system. Zbl 1108.35023
Bostan, M.
2006
Starting flow analysis for Bingham fluids. Zbl 1094.76003
Bostan, Mihai; Hild, Patrick
2006
Almost periodic solutions for first-order differential equations. Zbl 1212.35486
Bostan, Mihai
2006
Existence and uniqueness of the mild solution for the 1D Vlasov–Poisson initial-boundary value problem. Zbl 1099.35149
Bostan, M.
2005
Boundary value problem for the three dimensional time periodic Vlasov-Maxwell system. Zbl 1109.35109
Bostan, M.
2005
Convergence of weak solutions for the stationary Vlasov-Maxwell system to weak solutions for the stationary Vlasov-Poisson system for infinite light speed. Zbl 1075.35092
Bostan, Mihai
2005
Time periodic solutions for the Vlasov-Maxwell equations. Zbl 1073.35203
Bostan, Mihai
2004
Permanent regimes for the 1D Vlasov-Poisson system with boundary conditions. Zbl 1054.35104
Bostan, M.
2003
Periodic solutions for evolution equations. Zbl 1010.34060
Bostan, Mihai
2002
Periodic solutions for evolution equations. Zbl 1047.34065
Bostan, Mihai
2001
Periodic solutions of the 1D Vlasov-Maxwell system with boundary conditions. Zbl 0965.35010
Bostan, M.; Poupaud, F.
2000
Periodic solutions of the Vlasov-Poisson system with boundary conditions. Zbl 1019.76047
Bostan, M.; Poupaud, F.
2000
Periodic solutions of the Vlasov-Poisson system with boundary conditions. Zbl 0895.35079
Bostan, Mihai; Poupaud, Frédéric
1997
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#### Cited by 119 Authors

 35 Bostan, Mihai 11 Crouseilles, Nicolas 7 Carrillo de la Plata, José Antonio 6 Lemou, Mohammed 6 Méhats, Florian 5 Zhao, Xiaofei 4 Chartier, Philippe 4 Cheverry, Christophe 4 Negulescu, Claudia 3 Blanc, Thomas 3 Caldini-Queiros, Céline 3 Degond, Pierre 3 Filbet, Francis 3 Finot, Aurélie 3 Martínez Gamba, Irene 3 Labrunie, Simon 3 Piao, Daxiong 3 Possanner, Stefan 3 Sonnendrücker, Eric 3 Zhang, Shilin 2 Barbaro, Alethea B. T. 2 Bellomo, Nicola 2 Brezzi, Franco 2 Fedele, Baptiste 2 Fontaine, Adrien 2 Han-Kwan, Daniel 2 Hauray, Maxime 2 Hirstoaga, Sever A. 2 Kang, Moon-Jin 2 Liu, Shuangqian 2 Ma, Xuan 2 Mouton, Alexandre 1 Acary, Vincent 1 Aceves-Sánchez, Pedro 1 Badsi, Mehdi 1 Bauer, Sebastian 1 Boussandel, Sahbi 1 Boyer, Franck 1 Burby, J. W. 1 Cadoux, Florent 1 Campos, Juan 1 Cañizo, José Alfredo 1 Canon, Éric 1 Cesbron, Ludovic 1 Chacon-Golcher, Edwin 1 Chae, Myeongju 1 Chen, Robin Ming 1 Ćwiszewski, Aleksander 1 Duan, Renjun 1 Einkemmer, Lukas 1 El Ghani, Najoua 1 Estrada-Rodriguez, Gissell 1 Faou, Erwan 1 Figalli, Alessio 1 Frénod, Emmanuel 1 Gao, Zhen 1 Garcia-Falset, Jesús 1 Georgievskiĭ, Dmitriĭ Vladimirovich 1 Gimperlein, Heiko 1 Goudon, Thierry 1 Gwiazda, Piotr 1 Haack, Jeffrey R. 1 Hajjej, Mohamed-Lasmer 1 Hild, Patrick 1 Hu, Jilong 1 Hwang, Hyung Ju 1 Jüngel, Ansgar 1 Karami, Fahd 1 Klotz, T. J. 1 Lemaréchal, Claude 1 Li, Hailiang 1 Li, Yingzhe 1 Lin, Chikun 1 Lleras, Vanessa 1 Louvet, Pierre 1 Luo, Lan 1 Lutz, Mathieu 1 Majdoub, Mohamed 1 Malick, Jérôme 1 Marchal, Sandrine 1 Marchi, Silvana 1 Mhemdi, Hanen 1 Mitake, Hiroyoshi 1 Morales, Javier 1 Motsch, Sébastien 1 Namah, Gawtum 1 Neiss, Robert Axel 1 Nguyen, Vinh Duc 1 Omnes, Pascal 1 Pankavich, Stephen 1 Peng, Yuejun 1 Phan, Du 1 Pinçon, Bruno 1 Poupaud, Frédéric 1 Reich, Simeon 1 Rein, Gerhard 1 Respaud, Thomas 1 Roche, Jean Rodolphe 1 Rodrigues, Luis Miguel 1 Schaeffer, Jack W. ...and 19 more Authors
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#### Cited in 46 Serials

 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Journal of Computational Physics 7 Journal of Differential Equations 7 Multiscale Modeling & Simulation 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Kinetic and Related Models 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Mathematical Methods in the Applied Sciences 4 Quarterly of Applied Mathematics 4 SIAM Journal on Mathematical Analysis 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Physics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Discrete and Continuous Dynamical Systems. Series B 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Numerische Mathematik 2 SIAM Journal on Applied Mathematics 2 Communications in Contemporary Mathematics 2 Séminaire Laurent Schwartz. EDP et Applications 1 Computer Physics Communications 1 Journal of Mathematical Physics 1 Nonlinearity 1 Mathematics of Computation 1 Mathematics and Computers in Simulation 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Numerical Methods for Partial Differential Equations 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Advances in Difference Equations 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 ISRN Mathematical Analysis 1 Journal de l’École Polytechnique – Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Cited in 27 Fields

 91 Partial differential equations (35-XX) 56 Statistical mechanics, structure of matter (82-XX) 32 Optics, electromagnetic theory (78-XX) 30 Fluid mechanics (76-XX) 23 Numerical analysis (65-XX) 9 Biology and other natural sciences (92-XX) 6 Operator theory (47-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of particles and systems (70-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)