## Chorin, Alexandre Joel

Compute Distance To:
 Author ID: chorin.alexandre-joel Published as: Chorin, Alexandre J.; Chorin, Alexandre Joel; Chorin, A. J.; Chorin, Alexandre more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 112 Publications since 1967, including 10 Books 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 47 Co-Authors with 58 Joint Publications 1,727 Co-Co-Authors
all top 5

### Co-Authors

 56 single-authored 16 Barenblatt, Grigory Isaakovich 11 Hald, Ole Hansen 9 Kupferman, Raz 8 Tu, Xuemin 7 Morzfeld, Matthias 7 Prostokishin, Valeriy M. 4 Kast, Anton P. 4 Marsden, Jerrold Eldon 3 Lu, Fei 2 Summers, David M. 1 Akao, James H. 1 Arenas, Alexandre 1 Atkins, Ethan 1 Bernard, Peter S. 1 Bertsch, Michiel 1 Bloch, Anthony Michael 1 Buttke, Thomas Frederick 1 Cendra, Hernán 1 Dellnitz, Michael 1 Desbrun, Mathieu 1 Ghoniem, Ahmed F. 1 Goldenfeld, Nigel 1 Golubitsky, Martin A. 1 Gotay, Mark J. 1 Hughes, Thomas J. R. 1 Isenberg, Jim 1 Keyfitz, Barbara Lee 1 Krause, Paul J. 1 Krishnaprasad, P.s. 1 Levy, Doron 1 Lin, Kevin K. 1 Liu, Tai-Ping 1 Majda, Andrew J. 1 Marsden, Alison L. 1 McCracken, Marjorie F. 1 Miller, Robert N. 1 Montgomery, Richard 1 Oppenheim, Antoni Kazimierz 1 Ortiz, Michael 1 Ratiu, Tudor Stefan 1 Rauch, Jeffrey B. 1 Raugel, Geneviève 1 Scheurle, Jürgen 1 Stinis, Panagiotis 1 Teng, Zhen-Huan 1 Vazquez, Juan Luis 1 Weinstein, Alan David 1 Wilkening, Jon A. 1 Yoshimura, Hiroaki
all top 5

### Serials

 16 Journal of Computational Physics 14 Proceedings of the National Academy of Sciences of the United States of America 6 Communications on Pure and Applied Mathematics 5 Communications in Mathematical Physics 5 Physica D 4 Mathematics of Computation 4 Communications in Applied Mathematics and Computational Science 3 Physics of Fluids 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Texts in Applied Mathematics 2 Journal of Fluid Mechanics 2 Journal of Statistical Physics 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Surveys and Tutorials in the Applied Mathematical Sciences 1 Meccanica 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Quarterly of Applied Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 SIAM Review 1 Notices of the American Mathematical Society 1 Monte Carlo Methods and Applications 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 European Mathematical Society Newsletter 1 Mathematics and Mechanics of Solids 1 RIMS Kokyuroku 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of the American Mathematical Society 1 Applied Mathematical Sciences 1 Mathematics Lecture Series 1 Mathematical Sciences Research Institute Publications 1 Universitext
all top 5

### Fields

 76 Fluid mechanics (76-XX) 31 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 8 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Systems theory; control (93-XX) 2 Geophysics (86-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

89 Publications have been cited 3,549 times in 2,820 Documents Cited by Year
Numerical solution of the Navier-Stokes equations. Zbl 0198.50103
Chorin, Alexandre Joel
1968
A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802
Chorin, Alexandre Joel
1967
On the convergence of discrete approximations to the Navier-Stokes equations. Zbl 0184.20103
Chorin, A. J.
1969
A mathematical introduction to fluid mechanics. Zbl 0417.76002
Chorin, A. J.; Marsden, J. E.
1979
A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008
Chorin, A. J.; Marsden, J. E.
1990
Product formulas and numerical algorithms. Zbl 0358.65082
Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E.
1978
A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001
Chorin, Alexandre J.; Marsden, Jerrold E.
1993
The numerical solution of the Navier-Stokes equations for an incompressible fluid. Zbl 0168.46501
Chorin, A. J.
1967
A numerical method for solving incompressible viscous flow problems. Reprint. Zbl 0899.76283
Chorin, Alexandre Joel
1997
Random choice solution of hyperbolic systems. Zbl 0354.65047
Chorin, Alexandre Joel
1976
Vorticity and turbulence. Zbl 0795.76002
Chorin, Alexandre J.
1994
Optimal prediction and the Mori-Zwanzig representation of irreversible processes. Zbl 0968.60036
Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz
2000
Optimal prediction with memory. Zbl 1017.60046
Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz
2002
The evolution of a turbulent vortex. Zbl 0494.76024
Chorin, Alexandre Joel
1982
Vortex sheet approximation of boundary layers. Zbl 0387.76040
Chorin, Alexandre Joel
1978
Discretization of a vortex sheet with an example of roll-up. Zbl 0273.76022
Chorin, Alexandre Joel; Bernard, Peter S.
1973
Random choice methods with applications to reacting gas flow. Zbl 0403.65049
Chorin, Alexandre Joel
1977
Flame advection and propagation algorithms. Zbl 0425.76086
Chorin, Alexandre Joel
1980
A random map implementation of implicit filters. Zbl 1242.65012
Morzfeld, Matthias; Tu, Xuemin; Atkins, Ethan; Chorin, Alexandre J.
2012
Implicit particle filters for data assimilation. Zbl 1229.60047
Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin
2010
Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066
Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K.
1982
Hermite expansions in Monte-Carlo computation. Zbl 0229.65025
Chorin, Alexandre Joel
1971
Vortex models and boundary layer instability. Zbl 0451.76034
Chorin, Alexandre Joel
1980
Gaussian fields and random flow. Zbl 0285.76022
Chorin, Alexandre Joel
1974
Riemann problems for reacting gas, with applications to transition. Zbl 0502.76088
Teng, Zhen-Huan; Chorin, Alexandre Joel; Liu, Tai-Ping
1982
Problem reduction, renormalization, and memory. Zbl 1108.82023
Chorin, Alexandre J.; Stinis, Panagiotis
2006
Curvature and solidification. Zbl 0555.65085
Chorin, Alexandre Joel
1985
Dimensional reduction for a Bayesian filter. Zbl 1135.93377
Chorin, Alexandre J.; Krause, Paul
2004
Data-based stochastic model reduction for the Kuramoto-Sivashinsky equation. Zbl 1376.35100
Lu, Fei; Lin, Kevin K.; Chorin, Alexandre J.
2017
Stochastic tools in mathematics and science. Zbl 1086.60001
Chorin, Alexandre J.; Hald, Ole H.
2006
Optimal prediction of underresolved dynamic. Zbl 0904.65117
Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz
1998
Hairpin removal in vortex interactions. II. Zbl 0778.76071
Chorin, Alexandre Joel
1993
New perspectives in turbulence: Scaling laws, asymptotics, and intermittency. Zbl 0947.76035
Barenblatt, G. I.; Chorin, A. J.
1998
Hairpin removal in vortex interactions. Zbl 0711.76047
Chorin, Alexandre Joel
1990
Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data. Zbl 0872.76047
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
1997
Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. Zbl 0959.76030
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
2000
Lectures on turbulence theory. Zbl 0353.76034
Chorin, Alexandre Joel
1975
Stochastic tools in mathematics and science. 3rd revised and extended ed. Zbl 1384.60001
Chorin, Alexandre J.; Hald, Ole H.
2013
Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems. Zbl 1351.62075
Lu, Fei; Morzfeld, Matthias; Tu, Xuemin; Chorin, Alexandre J.
2015
Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. Zbl 0856.76026
Barenblatt, G. I.; Chorin, Alexandre J.
1996
Scaling laws in the vortex lattice model of turbulence. Zbl 0638.76072
Chorin, Alexandre Joel
1988
Equilibrium statistics of a vortex filament with applications. Zbl 0734.76015
Chorin, Alexandre Joel
1991
Unresolved computation and optimal predictions. Zbl 0933.65123
Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz
1999
Turbulence and vortex stretching on a lattice. Zbl 0595.60098
Chorin, Alexandre Joel
1986
Vortex equilibria in turbulence theory and quantum analogues. Zbl 0736.76025
Chorin, Alexandre Joel; Akao, James H.
1991
Stochastic tools in mathematics and science. 2nd ed. Zbl 1184.60001
Chorin, Alexandre J.; Hald, Ole H.
2009
Parameter estimation by implicit sampling. Zbl 1328.86002
Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J.
2015
Structure of the zero-pressure-gradient turbulent boundary layer. Zbl 0899.76231
Barenblatt, G. I.; Chorin, A. J.; Hald, O. H.; Prostokishin, V. M.
1997
Optimal prediction for Hamiltonian partial differential equations. Zbl 0960.65012
Chorin, Alexandre J.; Kupferman, Raz; Levy, Doron
2000
Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence. Zbl 0866.76035
Barenblatt, G. I.; Chorin, Alexandre J.
1997
Conditional expectations and renormalization. Zbl 1064.65004
Chorin, Alexandre J.
2003
A note on the intermediate region in turbulent boundary layers. Zbl 1184.76045
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
2000
Turbulence calculations in magnetization variables. Zbl 0770.76054
Buttke, Thomas F.; Chorin, Alexandre J.
1993
Numerical vorticity creation based on impulse conservation. Zbl 0852.76070
Summers, David M.; Chorin, Alexandre J.
1996
Scaling of the intermediate region in wall-bounded turbulence: the power law. Comment on: “Log laws or power laws: the scaling in the overlap region” [Phys. Fluid 9 (1997), no. 7, 2094–2100] by M. V. Zagarola, A. E. Perry and A. J. Smits. Zbl 1185.76655
Barenblatt, G. I.; Chorin, Alexandre J.
1998
Accurate evaluation of Wiener integrals. Zbl 0256.65013
Chorin, Alexandre Joel
1973
Sampling, feasibility, and priors in data assimilation. Zbl 1333.65007
Tu, Xuemin; Morzfeld, Matthias; Miller, Robert N.; Lu, Fei; Chorin, Alexandre J.
2016
Numerical solution of Boltzmann’s equation. Zbl 0226.65077
Chorin, A. J.
1972
Comment on the paper “On the scaling of three-dimensional homogeneous and isotropic turbulence” by Benzi et al. Zbl 0973.76561
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
1999
Partition functions and equilibrium measures in two-dimensional and quasi-three-dimensional turbulence. Zbl 1027.76609
Chorin, Alexandre J.
1996
A mathematical model for the scaling of turbulence. Zbl 1063.76043
Barenblatt, Grigory Isaakovich; Chorin, Alexandre J.
2004
Computational fluid mechanics. Selected papers. Zbl 0699.76003
Chorin, Alexandre Joel
1989
Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow. Zbl 0977.76036
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
2000
Estimates of intermittency, spectra, and blow-up in developed turbulence. Zbl 0458.76042
Chorin, Alexandre Joel
1981
Vortex phase transitions in $$2\frac 12$$ dimensions. Zbl 0839.76037
Chorin, Alexandre J.
1994
Constrained random walks and vortex filaments in turbulence theory. Zbl 0708.76077
Chorin, Alexandre Joel
1990
Averaging and renormalization for the Korteveg-de Vries-Burgers equation. Zbl 1064.35165
Chorin, Alexandre J.
2003
Statistical mechanics and vortex motion. Zbl 0751.76037
Chorin, Alexandre Joel
1991
A model of a turbulent boundary layer with a nonzero pressure gradient. Zbl 1030.76022
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
2002
On the prediction of large-scale dynamics using unresolved computations. Zbl 0941.65129
Chorin, Alexandre; Kast, Anton P.; Kupferman, Raz
1999
Numerical methods for use in combustion modeling. Zbl 0488.76037
Chorin, Alexandre Joel
1980
Turbulence as a near-equilibrium process. Zbl 0838.76034
Chorin, Alexandre J.
1996
Non-Markovian optimal prediction. Zbl 0982.65011
Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz
2001
Microstructure, renormalization, and more efficient vortex methods. Zbl 0873.76036
Chorin, Alexandre J.
1996
Prediction from partial data, renormalization, and averaging. Zbl 1101.82002
Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz
2006
The influence of the flow of the reacting gas on the conditions for a thermal explosion. Zbl 0945.76091
Barenblatt, G. I.; Chorin, A. J.; Kast, A.
1997
A vortex model with superfluid and turbulent percolation. Zbl 0925.82215
Chorin, Alexandre Joel
1992
The instability of fronts in a porous medium. Zbl 0529.76054
Chorin, Alexandre Joel
1983
Analysis of Kosterlitz-Thouless transition models. Zbl 0898.76013
Chorin, Alexandre J.; Hald, Ole H.
1997
Hybrid vortex/magnet methods for flow over a solid boundary. Zbl 0873.76066
Summers, David M.; Chorin, Alexandre J.
1996
Numerical solution o f incompressible flow problems. Zbl 0225.76017
Chorin, Alexandre Joel
1970
Viscosity-dependent inertial spectra of the Burgers and Kortewe–de Vries–Burgers equations. Zbl 1112.35135
Chorin, Alexandre J.; Hald, Ole H.
2005
Implicit sampling, with application to data assimilation. Zbl 1261.62084
Chorin, Alexandre J.; Morzfeld, Matthias; Tu, Xuemin
2013
An iterative implementation of the implicit nonlinear filter. Zbl 1395.62290
Chorin, Alexandre J.; Tu, Xuemin
2012
Turbulence: An old challenge and new perspectives. Zbl 0931.76031
Barenblatt, G. I.; Chorin, A. J.
1998
One-sided polarization and renormalization flow in the Kosterlitz-Thouless phase transition. Zbl 1050.82021
Kupferman, Raz; Chorin, Alexandre J.
1999
Numerical estimates of Hausdorff dimension. Zbl 0491.76052
Chorin, Alexandre Joel
1982
On the existence and scaling of structure functions in turbulence according to the data. Zbl 1160.76350
Arenas, Alexandre; Chorin, Alexandre J.
2006
Numerical methods in statistical hydrodynamics. Zbl 0362.76101
Chorin, Alexandre
1977
Data-based stochastic model reduction for the Kuramoto-Sivashinsky equation. Zbl 1376.35100
Lu, Fei; Lin, Kevin K.; Chorin, Alexandre J.
2017
Sampling, feasibility, and priors in data assimilation. Zbl 1333.65007
Tu, Xuemin; Morzfeld, Matthias; Miller, Robert N.; Lu, Fei; Chorin, Alexandre J.
2016
Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems. Zbl 1351.62075
Lu, Fei; Morzfeld, Matthias; Tu, Xuemin; Chorin, Alexandre J.
2015
Parameter estimation by implicit sampling. Zbl 1328.86002
Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J.
2015
Stochastic tools in mathematics and science. 3rd revised and extended ed. Zbl 1384.60001
Chorin, Alexandre J.; Hald, Ole H.
2013
Implicit sampling, with application to data assimilation. Zbl 1261.62084
Chorin, Alexandre J.; Morzfeld, Matthias; Tu, Xuemin
2013
A random map implementation of implicit filters. Zbl 1242.65012
Morzfeld, Matthias; Tu, Xuemin; Atkins, Ethan; Chorin, Alexandre J.
2012
An iterative implementation of the implicit nonlinear filter. Zbl 1395.62290
Chorin, Alexandre J.; Tu, Xuemin
2012
Implicit particle filters for data assimilation. Zbl 1229.60047
Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin
2010
Stochastic tools in mathematics and science. 2nd ed. Zbl 1184.60001
Chorin, Alexandre J.; Hald, Ole H.
2009
Problem reduction, renormalization, and memory. Zbl 1108.82023
Chorin, Alexandre J.; Stinis, Panagiotis
2006
Stochastic tools in mathematics and science. Zbl 1086.60001
Chorin, Alexandre J.; Hald, Ole H.
2006
Prediction from partial data, renormalization, and averaging. Zbl 1101.82002
Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz
2006
On the existence and scaling of structure functions in turbulence according to the data. Zbl 1160.76350
Arenas, Alexandre; Chorin, Alexandre J.
2006
Viscosity-dependent inertial spectra of the Burgers and Kortewe–de Vries–Burgers equations. Zbl 1112.35135
Chorin, Alexandre J.; Hald, Ole H.
2005
Dimensional reduction for a Bayesian filter. Zbl 1135.93377
Chorin, Alexandre J.; Krause, Paul
2004
A mathematical model for the scaling of turbulence. Zbl 1063.76043
Barenblatt, Grigory Isaakovich; Chorin, Alexandre J.
2004
Conditional expectations and renormalization. Zbl 1064.65004
Chorin, Alexandre J.
2003
Averaging and renormalization for the Korteveg-de Vries-Burgers equation. Zbl 1064.35165
Chorin, Alexandre J.
2003
Optimal prediction with memory. Zbl 1017.60046
Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz
2002
A model of a turbulent boundary layer with a nonzero pressure gradient. Zbl 1030.76022
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
2002
Non-Markovian optimal prediction. Zbl 0982.65011
Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz
2001
Optimal prediction and the Mori-Zwanzig representation of irreversible processes. Zbl 0968.60036
Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz
2000
Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. Zbl 0959.76030
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
2000
Optimal prediction for Hamiltonian partial differential equations. Zbl 0960.65012
Chorin, Alexandre J.; Kupferman, Raz; Levy, Doron
2000
A note on the intermediate region in turbulent boundary layers. Zbl 1184.76045
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
2000
Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow. Zbl 0977.76036
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
2000
Unresolved computation and optimal predictions. Zbl 0933.65123
Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz
1999
Comment on the paper “On the scaling of three-dimensional homogeneous and isotropic turbulence” by Benzi et al. Zbl 0973.76561
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
1999
On the prediction of large-scale dynamics using unresolved computations. Zbl 0941.65129
Chorin, Alexandre; Kast, Anton P.; Kupferman, Raz
1999
One-sided polarization and renormalization flow in the Kosterlitz-Thouless phase transition. Zbl 1050.82021
Kupferman, Raz; Chorin, Alexandre J.
1999
Optimal prediction of underresolved dynamic. Zbl 0904.65117
Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz
1998
New perspectives in turbulence: Scaling laws, asymptotics, and intermittency. Zbl 0947.76035
Barenblatt, G. I.; Chorin, A. J.
1998
Scaling of the intermediate region in wall-bounded turbulence: the power law. Comment on: “Log laws or power laws: the scaling in the overlap region” [Phys. Fluid 9 (1997), no. 7, 2094–2100] by M. V. Zagarola, A. E. Perry and A. J. Smits. Zbl 1185.76655
Barenblatt, G. I.; Chorin, Alexandre J.
1998
Turbulence: An old challenge and new perspectives. Zbl 0931.76031
Barenblatt, G. I.; Chorin, A. J.
1998
A numerical method for solving incompressible viscous flow problems. Reprint. Zbl 0899.76283
Chorin, Alexandre Joel
1997
Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data. Zbl 0872.76047
Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M.
1997
Structure of the zero-pressure-gradient turbulent boundary layer. Zbl 0899.76231
Barenblatt, G. I.; Chorin, A. J.; Hald, O. H.; Prostokishin, V. M.
1997
Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence. Zbl 0866.76035
Barenblatt, G. I.; Chorin, Alexandre J.
1997
The influence of the flow of the reacting gas on the conditions for a thermal explosion. Zbl 0945.76091
Barenblatt, G. I.; Chorin, A. J.; Kast, A.
1997
Analysis of Kosterlitz-Thouless transition models. Zbl 0898.76013
Chorin, Alexandre J.; Hald, Ole H.
1997
Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. Zbl 0856.76026
Barenblatt, G. I.; Chorin, Alexandre J.
1996
Numerical vorticity creation based on impulse conservation. Zbl 0852.76070
Summers, David M.; Chorin, Alexandre J.
1996
Partition functions and equilibrium measures in two-dimensional and quasi-three-dimensional turbulence. Zbl 1027.76609
Chorin, Alexandre J.
1996
Turbulence as a near-equilibrium process. Zbl 0838.76034
Chorin, Alexandre J.
1996
Microstructure, renormalization, and more efficient vortex methods. Zbl 0873.76036
Chorin, Alexandre J.
1996
Hybrid vortex/magnet methods for flow over a solid boundary. Zbl 0873.76066
Summers, David M.; Chorin, Alexandre J.
1996
Vorticity and turbulence. Zbl 0795.76002
Chorin, Alexandre J.
1994
Vortex phase transitions in $$2\frac 12$$ dimensions. Zbl 0839.76037
Chorin, Alexandre J.
1994
A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001
Chorin, Alexandre J.; Marsden, Jerrold E.
1993
Hairpin removal in vortex interactions. II. Zbl 0778.76071
Chorin, Alexandre Joel
1993
Turbulence calculations in magnetization variables. Zbl 0770.76054
Buttke, Thomas F.; Chorin, Alexandre J.
1993
A vortex model with superfluid and turbulent percolation. Zbl 0925.82215
Chorin, Alexandre Joel
1992
Equilibrium statistics of a vortex filament with applications. Zbl 0734.76015
Chorin, Alexandre Joel
1991
Vortex equilibria in turbulence theory and quantum analogues. Zbl 0736.76025
Chorin, Alexandre Joel; Akao, James H.
1991
Statistical mechanics and vortex motion. Zbl 0751.76037
Chorin, Alexandre Joel
1991
A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008
Chorin, A. J.; Marsden, J. E.
1990
Hairpin removal in vortex interactions. Zbl 0711.76047
Chorin, Alexandre Joel
1990
Constrained random walks and vortex filaments in turbulence theory. Zbl 0708.76077
Chorin, Alexandre Joel
1990
Computational fluid mechanics. Selected papers. Zbl 0699.76003
Chorin, Alexandre Joel
1989
Scaling laws in the vortex lattice model of turbulence. Zbl 0638.76072
Chorin, Alexandre Joel
1988
Turbulence and vortex stretching on a lattice. Zbl 0595.60098
Chorin, Alexandre Joel
1986
Curvature and solidification. Zbl 0555.65085
Chorin, Alexandre Joel
1985
The instability of fronts in a porous medium. Zbl 0529.76054
Chorin, Alexandre Joel
1983
The evolution of a turbulent vortex. Zbl 0494.76024
Chorin, Alexandre Joel
1982
Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066
Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K.
1982
Riemann problems for reacting gas, with applications to transition. Zbl 0502.76088
Teng, Zhen-Huan; Chorin, Alexandre Joel; Liu, Tai-Ping
1982
Numerical estimates of Hausdorff dimension. Zbl 0491.76052
Chorin, Alexandre Joel
1982
Estimates of intermittency, spectra, and blow-up in developed turbulence. Zbl 0458.76042
Chorin, Alexandre Joel
1981
Flame advection and propagation algorithms. Zbl 0425.76086
Chorin, Alexandre Joel
1980
Vortex models and boundary layer instability. Zbl 0451.76034
Chorin, Alexandre Joel
1980
Numerical methods for use in combustion modeling. Zbl 0488.76037
Chorin, Alexandre Joel
1980
A mathematical introduction to fluid mechanics. Zbl 0417.76002
Chorin, A. J.; Marsden, J. E.
1979
Product formulas and numerical algorithms. Zbl 0358.65082
Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E.
1978
Vortex sheet approximation of boundary layers. Zbl 0387.76040
Chorin, Alexandre Joel
1978
Random choice methods with applications to reacting gas flow. Zbl 0403.65049
Chorin, Alexandre Joel
1977
Numerical methods in statistical hydrodynamics. Zbl 0362.76101
Chorin, Alexandre
1977
Random choice solution of hyperbolic systems. Zbl 0354.65047
Chorin, Alexandre Joel
1976
Lectures on turbulence theory. Zbl 0353.76034
Chorin, Alexandre Joel
1975
Gaussian fields and random flow. Zbl 0285.76022
Chorin, Alexandre Joel
1974
Discretization of a vortex sheet with an example of roll-up. Zbl 0273.76022
Chorin, Alexandre Joel; Bernard, Peter S.
1973
Accurate evaluation of Wiener integrals. Zbl 0256.65013
Chorin, Alexandre Joel
1973
Numerical solution of Boltzmann’s equation. Zbl 0226.65077
Chorin, A. J.
1972
Hermite expansions in Monte-Carlo computation. Zbl 0229.65025
Chorin, Alexandre Joel
1971
Numerical solution o f incompressible flow problems. Zbl 0225.76017
Chorin, Alexandre Joel
1970
On the convergence of discrete approximations to the Navier-Stokes equations. Zbl 0184.20103
Chorin, A. J.
1969
Numerical solution of the Navier-Stokes equations. Zbl 0198.50103
Chorin, Alexandre Joel
1968
A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802
Chorin, Alexandre Joel
1967
The numerical solution of the Navier-Stokes equations for an incompressible fluid. Zbl 0168.46501
Chorin, A. J.
1967
all top 5

### Cited by 4,418 Authors

 40 Chorin, Alexandre Joel 20 Majda, Andrew J. 18 Codina, Ramon 17 Oliva, Assensi 16 Guermond, Jean-Luc 16 Kim, Junseok 16 Nithiarasu, Perumal 15 Dumbser, Michael 15 Glowinski, Roland 15 Oñate Ibáñez de Navarra, Eugenio 15 Shen, Jie 15 Trias, Francesc Xavier 15 Xiao, Feng 13 Klein, Rupert 12 Gibou, Frédéric 12 Gorobets, Andrey V. 12 Knio, Omar M. 12 Liu, Jianguo 12 Pan, Tsorng-Whay 12 Rebholz, Leo G. 11 Layton, William J. 11 Si, Zhiyong 11 Yuan, Li 10 Fedkiw, Ronald P. 10 Idelsohn, Sergio Rodolfo 10 Marzouk, Youssef M. 10 Min, Chohong 10 Peskin, Charles S. 10 Sheu, Tony Wen-Hann 10 Stansby, Peter K. 10 Temam, Roger Meyer 10 Xie, Bin 9 Juric, Damir 9 Najm, Habib N. 9 Shin, Seungwon 8 An, Rong 8 Barenblatt, Grigory Isaakovich 8 Benson, David J. 8 Cuminato, José Alberto 8 E, Weinan 8 Guo, Ben-Yu 8 Hou, Thomas Yizhao 8 Ibrahimbegović, Adnan 8 Kozel, Karel 8 Le Maître, Olivier P. 8 Marsden, Jerrold Eldon 8 Mittal, Rajat 8 Morzfeld, Matthias 8 Oishi, Cassio M. 8 Popinet, Stéphane 8 Sethian, James A. 8 Zhao, Yong 7 Asinari, Pietro 7 Atzberger, Paul J. 7 Balsara, Dinshaw S. 7 Chekroun, Mickaël D. 7 Duraisamy, Karthik 7 Ghanem, Roger G. 7 Griffith, Boyce E. 7 Hald, Ole Hansen 7 Iollo, Angelo 7 Jin, Shi 7 Kupferman, Raz 7 Kwak, Dochan 7 Li, Xiantao 7 Li, Xikui 7 Lind, Steven J. 7 Malan, Arnaud George 7 Minev, Peter Dimitrov 7 Morinishi, Koji 7 Muradoglu, Metin 7 Patankar, Neelesh A. 7 Šarler, Božidar 7 Satofuka, Nobuyuki 7 Shah, Abdullah 7 Stuart, Andrew M. 7 Tanno, Itaru 7 Tiwari, Sudarshan 7 Venturi, Daniele 7 Wang, Yunxia 7 Yang, Junxiang 6 Badia, Santiago 6 Bell, John B. 6 Bergmann, Michel 6 Colella, Phillip 6 Constantin, Peter 6 Flandoli, Franco 6 Ghoniem, Ahmed F. 6 Gresho, Philip M. 6 Griebel, Michael 6 Harlim, John 6 Hashimoto, Tomohisa 6 He, Tao 6 Hejranfar, Kazem 6 Kang, Myungjoo 6 Kiris, Cetin C. 6 Klar, Axel 6 Latché, Jean-Claude 6 Li, Jian 6 Liu, Gui-Rong ...and 4,318 more Authors
all top 5

### Cited in 309 Serials

 594 Journal of Computational Physics 303 Computers and Fluids 194 Computer Methods in Applied Mechanics and Engineering 121 Journal of Fluid Mechanics 91 International Journal for Numerical Methods in Fluids 58 Physics of Fluids 52 Journal of Computational and Applied Mathematics 46 Journal of Scientific Computing 45 Computers & Mathematics with Applications 45 Physica D 43 International Journal for Numerical Methods in Engineering 37 Applied Mathematics and Computation 35 Applied Numerical Mathematics 33 Engineering Analysis with Boundary Elements 30 International Journal of Computational Fluid Dynamics 29 Applied Mathematical Modelling 27 Journal of Statistical Physics 23 Communications in Mathematical Physics 23 International Journal of Numerical Methods for Heat & Fluid Flow 23 European Journal of Mechanics. B. Fluids 22 Mathematics of Computation 22 SIAM Journal on Scientific Computing 22 Communications in Computational Physics 21 Computational Mechanics 20 Journal of Mathematical Physics 18 Proceedings of the National Academy of Sciences of the United States of America 17 Journal of Differential Equations 16 Communications on Pure and Applied Mathematics 16 Journal of Mathematical Analysis and Applications 16 Mathematics and Computers in Simulation 15 Theoretical and Computational Fluid Dynamics 15 Numerische Mathematik 14 Communications in Numerical Methods in Engineering 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Applied Mathematics Letters 12 Acta Mechanica 11 Physics of Fluids, A 11 Nonlinear Analysis. Real World Applications 10 Mathematical and Computer Modelling 10 Journal of Mathematical Fluid Mechanics 10 International Journal of Computational Methods 9 International Journal of Heat and Mass Transfer 9 Journal of Engineering Mathematics 9 Communications in Nonlinear Science and Numerical Simulation 8 Archive for Rational Mechanics and Analysis 8 Mathematical Problems in Engineering 8 Multiscale Modeling & Simulation 8 Discrete and Continuous Dynamical Systems. Series S 8 International Journal for Numerical Methods in Biomedical Engineering 7 Mathematical Methods in the Applied Sciences 7 SIAM Journal on Numerical Analysis 7 Advances in Computational Mathematics 7 Archives of Computational Methods in Engineering 7 Discrete and Continuous Dynamical Systems. Series B 7 SIAM/ASA Journal on Uncertainty Quantification 6 Computer Physics Communications 6 Meccanica 6 Transactions of the American Mathematical Society 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Journal of Non-Newtonian Fluid Mechanics 6 Journal of Nonlinear Science 6 Discrete and Continuous Dynamical Systems 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Acta Mechanica Sinica 5 Physics Letters. A 5 Journal of Functional Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Applied Mathematics and Mechanics. (English Edition) 5 Chinese Annals of Mathematics. Series B 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Numerical Methods for Partial Differential Equations 5 The Annals of Applied Probability 5 Applications of Mathematics 5 International Journal of Computer Mathematics 5 Journal of Dynamics and Differential Equations 5 Applied and Computational Harmonic Analysis 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Journal of Turbulence 5 Sādhanā 5 SIAM Journal on Applied Dynamical Systems 5 Advances in Applied Mathematics and Mechanics 4 Nonlinearity 4 Bulletin of Mathematical Biology 4 Shock Waves 4 The Annals of Probability 4 Studies in Applied Mathematics 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Numerical Algorithms 4 SIAM Journal on Mathematical Analysis 4 Stochastic Processes and their Applications 4 Continuum Mechanics and Thermodynamics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Chaos 4 Acta Numerica 4 Journal of Theoretical Biology 4 SN Partial Differential Equations and Applications 3 International Journal of Modern Physics B 3 Applicable Analysis 3 Journal of Mathematical Biology 3 Physica A ...and 209 more Serials
all top 5

### Cited in 51 Fields

 2,245 Fluid mechanics (76-XX) 1,014 Numerical analysis (65-XX) 536 Partial differential equations (35-XX) 196 Mechanics of deformable solids (74-XX) 145 Probability theory and stochastic processes (60-XX) 145 Classical thermodynamics, heat transfer (80-XX) 92 Biology and other natural sciences (92-XX) 86 Statistical mechanics, structure of matter (82-XX) 85 Dynamical systems and ergodic theory (37-XX) 73 Geophysics (86-XX) 72 Statistics (62-XX) 39 Mechanics of particles and systems (70-XX) 33 Ordinary differential equations (34-XX) 33 Systems theory; control (93-XX) 29 Computer science (68-XX) 22 Quantum theory (81-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 18 Operator theory (47-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 Optics, electromagnetic theory (78-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 History and biography (01-XX) 10 Approximations and expansions (41-XX) 10 Differential geometry (53-XX) 7 Integral equations (45-XX) 7 Information and communication theory, circuits (94-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 4 Difference and functional equations (39-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.