# zbMATH — the first resource for mathematics

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 Documents Indexed: 50 Publications since 2008
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#### Co-Authors

 2 single-authored 23 Otárola, Enrique 13 Nochetto, Ricardo Horacio 5 Guermond, Jean-Luc 4 Allendes, Alejandro 4 Antil, Harbir 3 Rankin, Richard 3 Tomas, Ignacio 3 Zhang, Wujun 2 Bartels, Sören 2 Chen, Long 2 Guzmán, Johnny 2 Neilan, Michael 2 Wise, Steven M. 1 Banjai, Lehel 1 Birhanu, Zerihun Kinfe 1 Bonito, Andrea 1 Durán, Ricardo G. 1 Ervin, Vincent J. 1 Feng, Wenqiang 1 Fuica, Francisco 1 Girault, Vivette 1 Lee, Hyesuk Kwon 1 Lee, Sanghyun 1 Lei, Wenyu 1 Melenk, Jens Markus 1 Mengesha, Tadele 1 Minev, Peter Dimitrov 1 Murat, François 1 Olshanskii, Maxim A. 1 Park, Jea-Hyun 1 Rebholz, Leo G. 1 Sayas, Francisco-Javier 1 Schwab, Christoph 1 Walker, Shawn W. 1 Wang, Cheng
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#### Serials

 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Mathematics of Computation 4 SIAM Journal on Numerical Analysis 4 Journal of Scientific Computing 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 IMA Journal of Numerical Analysis 2 Numerische Mathematik 2 Foundations of Computational Mathematics 1 Computers & Mathematics with Applications 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Applied Mathematics Letters 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Discrete and Continuous Dynamical Systems 1 Fractional Calculus & Applied Analysis 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Acta Numerica 1 Philosophical Transactions A. Royal Society of London
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#### Fields

 40 Numerical analysis (65-XX) 36 Partial differential equations (35-XX) 20 Fluid mechanics (76-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 525 times in 379 Documents Cited by Year
A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2015
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028
2009
A PDE approach to space-time fractional parabolic problems. Zbl 1337.26014
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2016
A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
2016
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. Zbl 1375.35149
Feng, Wenqiang; Salgado, Abner J.; Wang, Cheng; Wise, Steven M.
2017
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
2017
Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318
2011
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Zbl 1334.65030
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2016
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Zbl 1344.65117
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2016
Discrete total variation flows without regularization. Zbl 1292.65106
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
2014
The equations of ferrohydrodynamics: modeling and numerical methods. Zbl 1416.76347
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
2016
A diffuse interface model for electrowetting with moving contact lines. Zbl 1280.35114
Nochetto, Ricardo H.; Salgado, Abner J.; Walker, Shawn W.
2014
A PDE approach to fractional diffusion: a posteriori error analysis. Zbl 1349.65614
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2015
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects. Zbl 1407.49056
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
2018
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines. Zbl 1304.35503
2013
A diffuse interface model for two-phase ferrofluid flows. Zbl 1439.76088
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
2016
The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing. Zbl 1404.35122
2019
A total variation diminishing interpolation operator and applications. Zbl 1321.65017
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
2015
Adaptive finite element methods for an optimal control problem involving Dirac measures. Zbl 1375.49049
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
2017
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
2019
Finite element approximation of the parabolic fractional obstacle problem. Zbl 1349.65473
2016
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
2010
The micropolar Navier-Stokes equations: a priori error analysis. Zbl 1288.76019
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
2014
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Zbl 1307.65145
Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.
2012
Convergence rates for the classical, thin and fractional elliptic obstacle problems. Zbl 1353.65065
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2015
A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043
2008
Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems. Zbl 06983833
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
2018
Regularity of solutions to space-time fractional wave equations: A PDE approach. Zbl 1427.35335
2019
A note on the Ladyženskaja-Babuška-Brezzi condition. Zbl 1276.65081
Guzmán, Johnny; Salgado, Abner J.; Sayas, Francisco-Javier
2013
A note on the Stokes operator and its powers. Zbl 1219.35170
2011
Convergence analysis of fractional time-stepping techniques for incompressible fluids with microstructure. Zbl 1327.35302
2015
Generalized Newtonian fluid flow through a porous medium. Zbl 1325.76178
Ervin, V. J.; Lee, Hyesuk; Salgado, A. J.
2016
Finite element approximation of the Isaacs equation. Zbl 1433.65311
2019
A weighted setting for the stationary Navier Stokes equations under singular forcing. Zbl 1428.35309
2020
On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions. Zbl 1397.35178
Olshanskii, Maxim A.; Rebholz, Leo G.; Salgado, Abner J.
2018
An a posteriori error analysis for an optimal control problem with point sources. Zbl 1415.49002
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
2018
Stability of the Stokes projection on weighted spaces and applications. Zbl 1437.35572
Durán, Ricardo G.; Otárola, Enrique; Salgado, Abner J.
2020
A posteriori error estimates for the Stokes problem with singular sources. Zbl 1440.65171
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2019
A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. Zbl 1448.35384
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2020
Approximation of elliptic equations with BMO coefficients. Zbl 1337.65146
2016
Sparse optimal control for fractional diffusion. Zbl 1388.35214
2018
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions. Zbl 1439.76080
2016
Finite element approximation of an obstacle problem for a class of integro-differential operators. Zbl 1442.65347
Bonito, Andrea; Lei, Wenyu; Salgado, Abner J.
2020
A weighted setting for the stationary Navier Stokes equations under singular forcing. Zbl 1428.35309
2020
Stability of the Stokes projection on weighted spaces and applications. Zbl 1437.35572
Durán, Ricardo G.; Otárola, Enrique; Salgado, Abner J.
2020
A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. Zbl 1448.35384
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2020
Finite element approximation of an obstacle problem for a class of integro-differential operators. Zbl 1442.65347
Bonito, Andrea; Lei, Wenyu; Salgado, Abner J.
2020
The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing. Zbl 1404.35122
2019
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
2019
Regularity of solutions to space-time fractional wave equations: A PDE approach. Zbl 1427.35335
2019
Finite element approximation of the Isaacs equation. Zbl 1433.65311
2019
A posteriori error estimates for the Stokes problem with singular sources. Zbl 1440.65171
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2019
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects. Zbl 1407.49056
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
2018
Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems. Zbl 06983833
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
2018
On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions. Zbl 1397.35178
Olshanskii, Maxim A.; Rebholz, Leo G.; Salgado, Abner J.
2018
An a posteriori error analysis for an optimal control problem with point sources. Zbl 1415.49002
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
2018
Sparse optimal control for fractional diffusion. Zbl 1388.35214
2018
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. Zbl 1375.35149
Feng, Wenqiang; Salgado, Abner J.; Wang, Cheng; Wise, Steven M.
2017
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
2017
Adaptive finite element methods for an optimal control problem involving Dirac measures. Zbl 1375.49049
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
2017
A PDE approach to space-time fractional parabolic problems. Zbl 1337.26014
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2016
A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
2016
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Zbl 1334.65030
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2016
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Zbl 1344.65117
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2016
The equations of ferrohydrodynamics: modeling and numerical methods. Zbl 1416.76347
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
2016
A diffuse interface model for two-phase ferrofluid flows. Zbl 1439.76088
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
2016
Finite element approximation of the parabolic fractional obstacle problem. Zbl 1349.65473
2016
Generalized Newtonian fluid flow through a porous medium. Zbl 1325.76178
Ervin, V. J.; Lee, Hyesuk; Salgado, A. J.
2016
Approximation of elliptic equations with BMO coefficients. Zbl 1337.65146
2016
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions. Zbl 1439.76080
2016
A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2015
A PDE approach to fractional diffusion: a posteriori error analysis. Zbl 1349.65614
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2015
A total variation diminishing interpolation operator and applications. Zbl 1321.65017
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
2015
Convergence rates for the classical, thin and fractional elliptic obstacle problems. Zbl 1353.65065
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
2015
Convergence analysis of fractional time-stepping techniques for incompressible fluids with microstructure. Zbl 1327.35302
2015
Discrete total variation flows without regularization. Zbl 1292.65106
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
2014
A diffuse interface model for electrowetting with moving contact lines. Zbl 1280.35114
Nochetto, Ricardo H.; Salgado, Abner J.; Walker, Shawn W.
2014
The micropolar Navier-Stokes equations: a priori error analysis. Zbl 1288.76019
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
2014
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines. Zbl 1304.35503
2013
A note on the Ladyženskaja-Babuška-Brezzi condition. Zbl 1276.65081
Guzmán, Johnny; Salgado, Abner J.; Sayas, Francisco-Javier
2013
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Zbl 1307.65145
Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.
2012
Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318
2011
A note on the Stokes operator and its powers. Zbl 1219.35170
2011
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
2010
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028
2009
A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043
2008
all top 5

#### Cited by 623 Authors

 32 Salgado, Abner J. 27 Otárola, Enrique 15 Nochetto, Ricardo Horacio 11 Yang, Xiaofeng 10 Antil, Harbir 10 Bartels, Sören 10 Wise, Steven M. 9 Wang, Cheng 7 Allendes, Alejandro 7 Nguyen Huy Tuan 7 Vabishchevich, Pëtr Nikolaevich 7 Yoshioka, Hidekazu 6 Glusa, Christian 5 del Teso, Félix 5 Feng, Wenqiang 5 Shen, Jie 4 Ainsworth, Mark 4 An, Rong 4 Bonito, Andrea 4 Borthagaray, Juan Pablo 4 Harizanov, Stanislav 4 He, Xiaoming 4 Izsák, Ferenc 4 Li, Jian 4 Margenov, Svetozar D. 4 Melenk, Jens Markus 4 Milicevic, Marijo 4 Minev, Peter Dimitrov 4 Neilan, Michael 4 Ngoc, Tran Bao 4 Quero, Daniel 4 Rankin, Richard 4 Wang, Xiaoping 4 Yaegashi, Yuta 4 Yoshioka, Yumi 4 Zhou, Zhaojie 3 Acosta, Gabriel 3 Biala, Toheeb A. 3 Brenner, Susanne Cecelia 3 Burger, Martin 3 Cai, Xiao-Chuan 3 Chen, Hongtao 3 Chen, Wenbin 3 Chen, Yanping 3 Čiegis, Raimondas 3 Deng, Weihua 3 Durán, Ricardo G. 3 Ervin, Vincent J. 3 Feng, Xiaobing 3 Fuica, Francisco 3 Gilboa, Guy 3 Grasselli, Maurizio 3 Gudi, Thirupathi 3 Guermond, Jean-Luc 3 Gunzburger, Max D. 3 Han, Daozhi 3 Khaliq, Abdul Q. M. 3 Lazarov, Raytcho D. 3 Luo, Li 3 Majumder, Papri 3 Mei, Liquan 3 Miranville, Alain M. 3 Möller, Michael 3 O’Regan, Donal 3 Pasciak, Joseph E. 3 Pfefferer, Johannes 3 Rebholz, Leo G. 3 Schwab, Christoph 3 Scrobogna, Stefano 3 Sprekels, Jürgen 3 Sun, Shuyu 3 Szekeres, Béla J. 3 Tomas, Ignacio 3 Wang, Hong 3 Wu, Shulin 3 Yao, Jun 3 Zhang, Qian 3 Zhang, Wujun 3 Zhu, Guangpu 2 Abbaszadeh, Mostafa 2 Alzahrani, S. S. 2 Au, Vo Van 2 Banjai, Lehel 2 Bu, Weiping 2 Caraballo Garrido, Tomás 2 Chen, Long 2 Chen, Minghua 2 Cheng, Kelong 2 Colli, Pierluigi 2 Cusimano, Nicole 2 Debbouche, Amar 2 Dehghan Takht Fooladi, Mehdi 2 Du, Qiang 2 Eckardt, Lina 2 Endal, Jørgen 2 Faustmann, Markus 2 Feng, Xinlong 2 Furati, Khaled M. 2 Gal, Ciprian Gheorghe Sorin 2 Gallistl, Dietmar ...and 523 more Authors
all top 5

#### Cited in 83 Serials

 32 Computers & Mathematics with Applications 30 Journal of Scientific Computing 29 Journal of Computational Physics 25 SIAM Journal on Numerical Analysis 24 Journal of Computational and Applied Mathematics 15 SIAM Journal on Scientific Computing 13 Computer Methods in Applied Mechanics and Engineering 13 Applied Numerical Mathematics 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Mathematics of Computation 9 Numerische Mathematik 7 SIAM Journal on Control and Optimization 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Computation 5 Applied Mathematics Letters 5 SIAM Journal on Mathematical Analysis 5 Advances in Computational Mathematics 5 Advances in Applied Mathematics and Mechanics 4 Applied Mathematics and Optimization 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Fractional Calculus & Applied Analysis 4 Communications in Nonlinear Science and Numerical Simulation 4 Computational Methods in Applied Mathematics 3 Computers and Fluids 3 Inverse Problems 3 Chaos, Solitons and Fractals 3 Calcolo 3 Journal of Differential Equations 3 Mathematics and Computers in Simulation 3 Applied Mathematical Modelling 3 Journal of Mathematical Imaging and Vision 3 Engineering Analysis with Boundary Elements 3 Discrete and Continuous Dynamical Systems. Series B 3 Discrete and Continuous Dynamical Systems. Series S 2 Applicable Analysis 2 Journal of Fluid Mechanics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Advances in Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Journal of Mathematical Fluid Mechanics 2 Journal of Numerical Mathematics 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 SIAM Journal on Imaging Sciences 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 International Journal for Numerical Methods in Fluids 1 Nonlinearity 1 Archiv der Mathematik 1 BIT 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Monatshefte für Mathematik 1 Chinese Annals of Mathematics. Series B 1 Bulletin of the Iranian Mathematical Society 1 Optimization 1 Revista Matemática Iberoamericana 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Computational Optimization and Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 Positivity 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Advanced Nonlinear Studies 1 Communications on Pure and Applied Analysis 1 Acta Numerica 1 Journal of Biological Dynamics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Evolution Equations and Control Theory 1 SIAM/ASA Journal on Uncertainty Quantification 1 Philosophical Transactions A. Royal Society of London 1 Korean Journal of Mathematics 1 Electronic Research Archive
all top 5

#### Cited in 29 Fields

 286 Numerical analysis (65-XX) 238 Partial differential equations (35-XX) 124 Fluid mechanics (76-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 38 Real functions (26-XX) 15 Mechanics of deformable solids (74-XX) 12 Approximations and expansions (41-XX) 12 Probability theory and stochastic processes (60-XX) 10 Systems theory; control (93-XX) 8 Operator theory (47-XX) 7 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 Integral transforms, operational calculus (44-XX) 4 Optics, electromagnetic theory (78-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)