## Journal of Fluid Mechanics

 Short Title: J. Fluid Mech. Publisher: Cambridge University Press, Cambridge ISSN: 0022-1120; 1469-7645/e Online: https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/all-issues
 Documents Indexed: 20,434 Publications (since 1956) References Indexed: 16,139 Publications with 518,173 References.
all top 5

### Latest Issues

 948 (2022) 947 (2022) 946 (2022) 945 (2022) 944 (2022) 943 (2022) 942 (2022) 941 (2022) 940 (2022) 939 (2022) 938 (2022) 937 (2022) 936 (2022) 935 (2022) 934 (2022) 933 (2022) 932 (2022) 931 (2022) 930 (2022) 929 (2021) 928 (2021) 927 (2021) 926 (2021) 925 (2021) 924 (2021) 923 (2021) 922 (2021) 921 (2021) 920 (2021) 919 (2021) 918 (2021) 917 (2021) 916 (2021) 915 (2021) 914 (2021) 913 (2021) 912 (2021) 911 (2021) 910 (2021) 908 (2021) 909 (2020) 908 (2020) 907 (2020) 906 (2020) 905 (2020) 904 (2020) 903 (2020) 902 (2020) 901 (2020) 900 (2020) 899 (2020) 898 (2020) 897 (2020) 896 (2020) 895 (2020) 894 (2020) 893 (2020) 892 (2020) 891 (2020) 890 (2020) 889 (2020) 888 (2020) 887 (2020) 886 (2020) 885 (2020) 884 (2020) 883 (2020) 882 (2020) 881 (2019) 880 (2019) 879 (2019) 878 (2019) 877 (2019) 876 (2019) 875 (2019) 874 (2019) 873 (2019) 872 (2019) 871 (2019) 870 (2019) 869 (2019) 868 (2019) 867 (2019) 866 (2019) 865 (2019) 864 (2019) 863 (2019) 862 (2019) 861 (2019) 860 (2019) 859 (2019) 858 (2019) 860 (2018) 857 (2018) 856 (2018) 855 (2018) 854 (2018) 853 (2018) 852 (2018) 851 (2018) ...and 847 more Volumes
all top 5

### Authors

 115 Lohse, Detlef 107 Miles, John Wilder 89 Stone, Howard Alvin 85 Huppert, Herbert E. 82 Woods, Andrew W. 79 Joseph, Daniel D. 72 Smith, Frank T. 71 Busse, Friedrich Hermann 71 Verzicco, Roberto 70 Henningson, Dan S. 69 Caulfield, C. P. 69 Hall, Philip 69 Marusic, Ivan 69 Mei, Chiang C. 68 Hunt, Julian C. R. 68 Koch, Donald L. 67 Linden, Paul F. 66 Meiburg, Eckart H. 65 Yue, Dick K. P. 64 Dritschel, David Gerard 63 Davis, Stephen Howard 62 Brandt, Luca 60 Longuet-Higgins, Michael Selwyn 57 Lister, John R. 57 Moin, Parviz 57 Pullin, Dale I. 56 Balmforth, Neil J. 56 Thompson, Mark Christopher 55 Antonia, Robert Anthony 54 Moffatt, Henry Keith 54 Vanden-Broeck, Jean-Marc 53 Grimshaw, Roger Hamilton James 52 Smits, Alexander J. 51 Kerswell, Richard Rodney 51 Wu, Xuesong 50 Ganapathisubramani, Bharathram 50 Goldstein, Marvin E. 50 Hourigan, Kerry 50 Jiménez, Javier 49 Liu, Philip L.-F. 49 Schmid, Peter Joseph 48 Acrivos, Andreas 48 Hinch, Edward John 48 Hutchins, Nicholas 48 López, Juan Manuel 48 Pedley, Timothy J. 47 Leal, L. Gary 46 Pozrikidis, Constantine 46 Worster, M. Grae 46 Zaki, Tamer A. 45 Saffman, Philip Geoffrey 44 Chen, Shiyi 43 Stewartson, Keith 43 Ungarish, Marius 41 Duck, Peter W. 41 Gallaire, François 41 Le Dizès, Stéphane 41 Meneveau, Charles 40 Papageorgiou, Demetrios T. 40 Shaqfeh, Eric S. G. 39 Chomaz, Jean-Marc 39 Homsy, George M. 39 Kumaran, Vishwanathan 39 Lele, Sanjiva K. 39 Lu, Xiyun 39 Magnaudet, Jacques 38 Hussain, Fazle 38 Peake, Nigel 37 Akylas, T. R. 37 Johnson, Edward Robert 37 Prosperetti, Andrea 37 Schlatter, Philipp 36 Brady, John F. 36 Dalziel, Stuart B. 36 Gray, John Mark Nicholas Timm 36 Orlandi, Paolo 36 Sipp, Denis 36 Sun, Chao 35 Colonius, Tim 35 Crowdy, Darren Gregory 35 Djenidi, Lyazid 34 Davidson, Peter Alan 34 McWilliams, James C. 34 Sarkar, Sutanu 34 Yariv, Ehud 33 Balachandar, S. Raja 33 Billant, Paul 33 Cavalieri, André V. G. 33 Davis, Robert H. 33 Evans, David V. 33 Marques, Francisco 33 Neufeld, Jerome A. 32 Hogg, Andrew J. 32 Howe, Michael S. 32 Noack, Bernd R. 32 Proctor, Michael Richard Edward 32 Shen, Lian 31 Benjamin, Thomas Brooke 31 Juniper, Matthew P. 31 Karniadakis, George Em ...and 17,141 more Authors
all top 5

### Fields

 19,064 Fluid mechanics (76-XX) 1,647 Geophysics (86-XX) 1,205 Classical thermodynamics, heat transfer (80-XX) 589 Mechanics of deformable solids (74-XX) 485 Biology and other natural sciences (92-XX) 370 Partial differential equations (35-XX) 208 Dynamical systems and ergodic theory (37-XX) 193 Numerical analysis (65-XX) 114 Statistical mechanics, structure of matter (82-XX) 61 Astronomy and astrophysics (85-XX) 60 Mechanics of particles and systems (70-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 31 Probability theory and stochastic processes (60-XX) 26 History and biography (01-XX) 26 Optics, electromagnetic theory (78-XX) 21 Integral equations (45-XX) 20 General and overarching topics; collections (00-XX) 19 Systems theory; control (93-XX) 14 Computer science (68-XX) 13 Ordinary differential equations (34-XX) 12 Approximations and expansions (41-XX) 11 Functions of a complex variable (30-XX) 9 Quantum theory (81-XX) 7 Relativity and gravitational theory (83-XX) 6 Integral transforms, operational calculus (44-XX) 5 Measure and integration (28-XX) 5 Manifolds and cell complexes (57-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistics (62-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Information and communication theory, circuits (94-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-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 Real functions (26-XX) 1 Functional analysis (46-XX)

### Citations contained in zbMATH Open

16,999 Publications have been cited 198,299 times in 50,432 Documents Cited by Year
Turbulence statistics in fully developed channel flow at low Reynolds number. Zbl 0616.76071
Kim, John; Moin, Parviz; Moser, Robert
1987
On the identification of a vortex. Zbl 0847.76007
Jeong, Jinhee; Hussain, Fazle
1995
Dynamic mode decomposition of numerical and experimental data. Zbl 1197.76091
Schmid, Peter J.
2010
Camassa-Holm, Korteweg-de Vries and related models for water waves. Zbl 1037.76006
Johnson, R. S.
2002
The disintegration of wave trains on deep water. I: Theory. Zbl 0144.47101
Benjamin, T. Brooke; Feir, J. E.
1967
Numerical simulations of particulate suspensions via a discretized Boltzmann equation. I: Theoretical foundation. II: Numerical results. Zbl 0815.76085
1994
Viscous and resistive eddies near a sharp corner. Zbl 0118.20501
Moffatt, H. K.
1964
Accurate solution of the Orr-Sommerfeld stability equation. Zbl 0237.76027
Orszag, Steven A.
1971
A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. Zbl 0112.42003
Kolmogorov, A. N.
1962
Progress in the development of a Reynolds-stress turbulence closure. Zbl 0301.76030
Launder, B. E.; Reece, G. J.; Rodi, W.
1975
Vortex organization in the outer region of the turbulent boundary layer. Zbl 0959.76503
Adrian, R. J.; Meinhart, C. D.; Tomkins, C. D.
2000
Finite bandwidth, finite amplitude convection. Zbl 0187.25102
Newell, A. C.; Whitehead, J. A.
1969
Internal waves of permanent form in fluids of great depth. Zbl 0147.46502
Benjamin, T. B.
1967
The dynamics of coherent structures in the wall region of a turbulent layer. Zbl 0643.76066
Aubry, Nadine; Holmes, Philip; Lumley, John L.; Stone, Emily
1988
Spectral analysis of nonlinear flows. Zbl 1183.76833
Rowley, Clarence W.; Mezić, Igor; Bagheri, Shervin; Schlatter, Philipp; Henningson, Dan S.
2009
Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. Zbl 1113.76004
Hutchins, N.; Marusic, Ivan
2007
Direct simulation of a turbulent boundary layer up to $$R_{\theta}=1410$$. Zbl 0641.76050
Spalart, Philippe R.
1988
Mechanisms for generating coherent packets of hairpin vortices in channel flow. Zbl 0946.76030
Zhou, J.; Adrian, R. J.; Balachandar, S.; Kendall, T. M.
1999
Long waves on a beach. Zbl 0163.21105
Peregrine, D. H.
1967
Stirring by chaotic advection. Zbl 0559.76085
Aref, Hassan
1984
A soliton on a vortex filament. Zbl 0237.76010
Hasimoto, Hidenori
1972
Small-scale variation of convected quantities like temperature in turbulent fluid. I: General discussion and the case of small conductivity. Zbl 0085.39701
Batchelor, G. K.
1959
The stress system in a suspension of force-free particles. Zbl 0193.25702
Batchelor, G. K.
1970
Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. Zbl 0289.76031
Mandelbrot, Benoit B.
1974
A diffuse-interface method for simulating two-phase flows of complex fluids. Zbl 1130.76437
Yue, Pengtao; Feng, James J.; Liu, Chun; Shen, Jie
2004
The lift on a small sphere in a slow shear flow. Zbl 0218.76043
Saffman, P. G.
1965
A derivation of equations for wave propagation in water of variable depth. Zbl 0351.76014
Green, A. E.; Naghdi, P. M.
1976
Regeneration mechanisms of near-wall turbulence structures. Zbl 0867.76032
Hamilton, James M.; Kim, John; Waleffe, Fabian
1995
The degree of knottedness of tangles vortex lines. Zbl 0159.57903
Moffatt, H. K.
1969
Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100. Zbl 0193.26202
Dennis, S. C. R.; Chang, G.-Z.
1970
The minimal flow unit in near-wall turbulence. Zbl 0721.76040
Jiménez, Javier; Moin, Parviz
1991
Experiments on the flow past a circular cylinder at low Reynolds number. Zbl 0092.19502
Tritton, D. J.
1959
The emergence of isolated coherent vortices in turbulent flow. Zbl 0561.76059
McWilliams, James C.
1984
A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. Zbl 0191.25503
Deardorff, J. W.
1970
The structure of intense vorticity in isotropic turbulence. Zbl 0800.76156
Jiménez, Javier; Wray, Alan A.; Saffman, Philip G.; Rogallo, Robert S.
1993
A note on an algebraic instability of inviscid parallel shear flows. Zbl 0428.76049
Landahl, M. T.
1980
Three-dimensional Floquet stability analysis of the wake of a circular cylinder. Zbl 0882.76028
Barkley, Dwight; Henderson, Ronald D.
1996
The structure of isotropic turbulence at very high Reynolds numbers. Zbl 0093.41202
Kraichnan, Robert H.
1959
Wave formation in laminar flow down an inclined plane. Zbl 0078.18003
Benjamin, T. Brooke
1958
The spatial structure and statistical properties of homogeneous turbulence. Zbl 0721.76036
Vincent, A.; Meneguzzi, Maurice
1991
On steady laminar flow with closed streamlines at large Reynolds number. Zbl 0070.42004
Batchelor, G. K.
1956
On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. I: The basic behaviour in plane Poiseuille flow. Zbl 0096.21102
Stuart, J. T.
1960
Scaling in thermal convection: A unifying theory. Zbl 0972.76045
Grossmann, Siegfried; Lohse, Detlef
2000
A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. Zbl 1067.76033
2003
On convection cells induced by surface tension. Zbl 0082.18804
Pearson, J. R. A.
1958
Small-scale structure of the Taylor-Green vortex. Zbl 0517.76033
Brachet, Marc E.; Meiron, Daniel I.; Orszag, Steven A.; Nickel, B. G.; Morf, Rudolf H.; Frisch, Uriel
1983
The motion of a finite mass of granular material down a rough incline. Zbl 0659.76044
Savage, S. B.; Hutter, K.
1989
The motion of long bubbles in tubes. Zbl 0096.20702
Bretherton, F. P.
1961
A numerical study of steady viscous flow past a circular cylinder. Zbl 0428.76032
Fornberg, Bengt
1980
Instability due to viscosity stratification. Zbl 0144.47102
Yih, Chia-Shun
1967
The autonomous cycle of near-wall turbulence. Zbl 0948.76025
Jiménez, Javier; Pinelli, Alfredo
1999
Scaling of the energy spectra of turbulent channels. Zbl 1059.76031
del Álamo, Juan C.; Jiménez, Javier; Zandonade, Paulo; Moser, Robert D.
2004
Absolute and convective instabilities in free shear layers. Zbl 0588.76067
Huerre, P.; Monkewitz, P. A.
1985
Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. Zbl 0596.76047
Braza, M.; Chassaing, P.; Minh, H. Ha
1986
On the motion of a fluid-fluid interface along a solid surface. Zbl 0282.76004
Dussan V., Elizabeth B.; Davis, Stephen H.
1974
Energy growth in viscous channel flows. Zbl 0789.76026
Reddy, Satish C.; Henningson, Dan S.
1993
Transition in circular Couette flow. Zbl 0134.21705
Coles, D.
1965
On the stability of heterogeneous shear flows. Zbl 0101.43002
Miles, John W.
1961
Numerical investigation of turbulent channel flow. Zbl 0491.76058
Moin, Parviz; Kim, John
1982
On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres. Zbl 0086.19901
Hasimoto, H.
1959
Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. Zbl 0587.76080
Kerr, Robert M.
1985
On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. Zbl 1063.76671
Liao, Shi-Jun
2003
Contact-line dynamics of a diffuse fluid interface. Zbl 0984.76084
Jacqmin, David
2000
Kinetic theory representation of hydrodynamics: a way beyond the Navier-Stokes equation. Zbl 1097.76061
Shan, Xiaowen; Yuan, Xue-Feng; Chen, Hudong
2006
The three-dimensional nature of boundary-layer instability. Zbl 0131.41901
Klebanoff, P. S.; Tidstrom, K. D.; Sargent, L. M.
1962
A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate. Zbl 0931.76017
Liao, Shijun
1999
Note on a paper of John W. Miles. Zbl 0104.20704
Howard, Louis N.
1961
Turbulence: The filtering approach. Zbl 0756.76034
Germano, M.
1992
The dynamics of the spreading of liquids on a solid surface. I. Viscous flow. Zbl 0597.76102
Cox, R. G.
1986
On the mechanism of wall turbulence. Zbl 0517.76057
Perry, A. E.; Chong, M. S.
1982
On the dynamics of a shock-bubble interaction. Zbl 0877.76046
Quirk, James J.; Karni, S.
1996
Three-dimensional wake transition. Zbl 0899.76129
Williamson, C. H. K.
1996
Slender-body theory for particles of arbitrary cross-section in Stokes flow. Zbl 0216.52401
Batchelor, G. K.
1970
An analytical study of transport, mixing and chaos in an unsteady vortical flow. Zbl 0698.76028
Rom-Kedar, V.; Leonard, A.; Wiggins, S.
1990
Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. Zbl 1181.76008
Mathis, Romain; Hutchins, Nicholas; Marusic, Ivan
2009
Modelling the pressure-strain correlation of turbulence: An invariant dynamical systems approach. Zbl 0728.76052
Speziale, Charles G.; Sarkar, Sutanu; Gatski, Thomas B.
1991
Direct numerical simulation of turbulent flow over a backward-facing step. Zbl 0900.76367
Le, Hung; Moin, Parviz; Kim, John
1997
Pironneau, O.
1974
A Lagrangian dynamic subgrid-scale model of turbulence. Zbl 0882.76029
Meneveau, Charles; Lund, Thomas S.; Cabot, William H.
1996
On the motion of a small viscous droplet that wets a surface. Zbl 0373.76040
Greenspan, H. P.
1978
Sedimentation in a dilute dispersion of spheres. Zbl 0252.76069
Batchelor, G. K.
1972
A dynamic localization model for large-eddy simulation of turbulent flows. Zbl 0837.76032
Ghosal, Sandip; Lund, Thomas S.; Moin, Parviz; Akselvoll, Knut
1995
A finite-element study of the onset of vortex shedding in flow past variously shaped bodies. Zbl 0639.76041
Jackson, C. P.
1987
On two-dimensional packets of capillary-gravity waves. Zbl 0351.76016
Đorđević, Vladan D.; Redekopp, Larry G.
1977
Chaotic streamlines in the ABC flows. Zbl 0622.76027
Dombre, T.; Frisch, U.; Greene, J. M.; Hénon, M.; Mehr, A.; Soward, A. M.
1986
A non-linear equation incorporating damping and dispersion. Zbl 0213.54904
Johnson, R. S.
1970
Gravity currents and related phenomena. Zbl 0169.28503
Benjamin, T. B.
1968
On the evolution of packets of water waves. Zbl 0413.76009
Ablowitz, Mark J.; Segur, Harvey
1979
Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flow field. Zbl 0553.73098
Lun, C. K. K.; Savage, S. B.; Jeffrey, D. J.; Chepurniy, N.
1984
Evaluation of subgrid-scale models using an accurately simulated turbulent flow. Zbl 0394.76052
Clark, Robert A.; Ferziger, Joel H.; Reynolds, W. C.
1979
The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields. Zbl 0617.76058
Maxey, M. R.
1987
Coherent structure generation in near-wall turbulence. Zbl 1141.76408
Schoppa, W.; Hussain, F.
2002
A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. Zbl 0523.76001
Jenkins, J. T.; Savage, S. B.
1983
On the non-linear energy transfer in a gravity-wave spectrum I: General theory. Zbl 0107.21402
Hasselmann, K.
1962
Secondary instability of wall-bounded shear flows. Zbl 0556.76039
Orszag, Steven A.; Patera, Anthony T.
1983
Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder. Zbl 0077.39103
Proudman, Ian; Pearson, J. R. A.
1957
Spanwise structure and scale growth in turbulent boundary layers. Zbl 1063.76514
Tomkins, C. D.; Adrian, R. J.
2003
Inertial-range transfer in two- and three-dimensional turbulence. Zbl 0224.76053
Kraichnan, Robert H.
1971
Structural sensitivity of the first instability of the cylinder wake. Zbl 1115.76028
Giannetti, Flavio; Luchini, Paolo
2007
A universal time scale for vortex ring formation. Zbl 0922.76021
Gharib, Morteza; Rambod, Edmond; Shariff, Karim
1998
On the role of turbulent large-scale streaks in generating sediment ridges. Zbl 07425741
Scherer, Markus; Uhlmann, Markus; Kidanemariam, Aman G.; Krayer, Michael
2022
Spray dispersion regimes following atomization in a turbulent co-axial gas jet. Zbl 07446589
Huck, P. D.; Osuna-Orozco, R.; Machicoane, N.; Aliseda, A.
2022
On the frequency selection mechanism of the low-$$Re$$ flow around rectangular cylinders. Zbl 07454655
Chiarini, A.; Quadrio, M.; Auteri, F.
2022
Steady Rayleigh-Bénard convection between no-slip boundaries. Zbl 07451559
Wen, Baole; Goluskin, David; Doering, Charles R.
2022
About the influences of compressibility, heat transfer and pressure gradients in compressible turbulent boundary layers. Zbl 07423159
Wenzel, Christoph; Gibis, Tobias; Kloker, Markus
2022
Direct numerical simulation of hypersonic turbulent boundary layers: effect of spatial evolution and Reynolds number. Zbl 07482837
Huang, Junji; Duan, Lian; Choudhari, Meelan M.
2022
Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor-Green problem. Zbl 07449854
Fehn, Niklas; Kronbichler, Martin; Munch, Peter; Wall, Wolfgang A.
2022
The influence of fluid-structure interaction on cloud cavitation about a rigid and a flexible hydrofoil. III. Zbl 07455858
Young, Yin Lu; Chang, Jasmine C.; Smith, Samuel M.; Venning, James A.; Pearce, Bryce W.; Brandner, Paul A.
2022
Unstable turbulent channel flow response to spanwise-heterogeneous heat fluxes: Prandtl’s secondary flow of the third kind. Zbl 07465448
Salesky, Scott T.; Calaf, M.; Anderson, W.
2022
Closure mechanism of the A1 and A2 modes in jet screech. Zbl 07471437
Nogueira, Petrônio A. S.; Jaunet, Vincent; Mancinelli, Matteo; Jordan, Peter; Edgington-Mitchell, Daniel
2022
Characterization of instability mechanisms on sharp and blunt slender cones at Mach 6. Zbl 07477152
Kennedy, Richard E.; Jewell, Joseph S.; Paredes, Pedro; Laurence, Stuart J.
2022
Surface tension as the destabiliser of a vortical interface. Zbl 07477158
2022
Torque scaling at primary and secondary bifurcations in a Taylor-Couette flow of suspensions. Zbl 07479644
Moazzen, Masoud; Lacassagne, Tom; Thomy, Vincent; Bahrani, S. Amir
2022
Comparison of the compressible $$\mu (I)$$ class of models and non-local models with the discrete element method for steady fully developed flow of cohesionless granular materials through a vertical channel. Zbl 07483958
Debnath, Bhanjan; Kumaran, V.; Rao, K. Kesava
2022
Experimental properties of continuously forced, shear-driven, stratified turbulence. 1: Mean flows, self-organisation, turbulent fractions. Zbl 07483959
2022
Experimental properties of continuously forced, shear-driven, stratified turbulence. II: Energetics, anisotropy, parameterisation. Zbl 07483960
2022
Aerodynamics of a wing in turbulent bluff body wakes. Zbl 07483962
Zhang, Z.; Wang, Z.; Gursul, I.
2022
Circular hydraulic jumps: where does surface tension matter? Zbl 07482835
Duchesne, Alexis; Limat, Laurent
2022
On the stability of tracer simulations with opposite-signed diffusivities. Zbl 07482836
Haigh, Michael; Berloff, Pavel
2022
Rayleigh-Taylor instability in impact cratering experiments. Zbl 07482842
Lherm, V.; Deguen, R.; Alboussière, T.; Landeau, M.
2022
Analysis of turbulent coagulation in a jet with discretised population balance and DNS. Zbl 07482845
Tsagkaridis, Malamas; Rigopoulos, Stelios; Papadakis, George
2022
On the role of nonlinear correlations in reduced-order modelling. Zbl 07488219
Callaham, Jared L.; Brunton, Steven L.; Loiseau, Jean-Christophe
2022
The effect of particle geometry on squirming through a shear-thinning fluid. Zbl 07488221
van Gogh, Brandon; Demir, Ebru; Palaniappan, D.; Pak, On Shun
2022
Linear and nonlinear optimal growth mechanisms for generating turbulent bands. Zbl 07493042
Parente, E.; Robinet, J.-Ch.; De Palma, P.; Cherubini, S.
2022
Stability of gravity-driven particle-laden flows – roles of shear-induced migration and normal stresses. Zbl 07493046
Dhas, Darish Jeswin; Roy, Anubhab
2022
Experimental pub crawl from Rayleigh-Bénard to magnetostrophic convection. Zbl 07497702
Grannan, Alexander M.; Cheng, Jonathan S.; Aggarwal, Ashna; Hawkins, Emily K.; Xu, Yufan; Horn, Susanne; Sánchez-Álvarez, Jose; Aurnou, Jonathan M.
2022
Molecular kinetic modelling of nanoscale slip flow using a continuum approach. Zbl 1485.76006
Shan, Baochao; Wang, Peng; Wang, Runxi; Zhang, Yonghao; Guo, Zhaoli
2022
Exponential asymptotics for steady parasitic capillary ripples on steep gravity waves. Zbl 07501265
Shelton, Josh; Trinh, Philippe H.
2022
Characterising entrainment in fountains and negatively buoyant jets. Zbl 07502837
Milton-Mcgurk, L.; Williamson, N.; Armfield, S. W.; Kirkpatrick, M. P.
2022
Gyrotactic trapping of micro-swimmers in simple shear flows: a study directly from the fundamental Smoluchowski equation. Zbl 07502845
Wang, Bohan; Jiang, Weiquan; Chen, Guoqian
2022
Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers. Zbl 1486.76031
Buza, Gergely; Page, Jacob; Kerswell, Rich R.
2022
Rayleigh-Bloch waves above the cutoff. Zbl 07510557
Bennetts, Luke G.; Peter, Malte A.
2022
On the enhancement of boundary layer skin friction by turbulence: an angular momentum approach. Zbl 07510558
Elnahhas, Ahmed; Johnson, Perry L.
2022
Exploring the plume and shear effects in turbulent Rayleigh-Bénard convection with effective horizontal buoyancy under streamwise and spanwise geometrical confinements. Zbl 07510559
Zhang, Lu; Dong, Jing; Xia, Ke-Qing
2022
On the synchronisation of three-dimensional shock layer and laminar separation bubble instabilities in hypersonic flow over a double wedge. Zbl 07514764
Sawant, Saurabh S.; Theofilis, V.; Levin, D. A.
2022
Transition to turbulence in hypersonic flow over a compression ramp due to intrinsic instability. Zbl 07514765
Cao, Shibin; Hao, Jiaao; Klioutchnikov, Igor; Wen, Chih-Yung; Olivier, Herbert; Heufer, Karl Alexander
2022
Thermochemical non-equilibrium effects in turbulent hypersonic boundary layers. Zbl 07516496
Passiatore, D.; Sciacovelli, L.; Cinnella, P.; Pascazio, G.
2022
Emergence of unstable invasion during imbibition in regular porous media. Zbl 07523790
Wang, Zhongzheng; Pereira, Jean-Michel; Sauret, Emilie; Gan, Yixiang
2022
Thermoelectric precession in turbulent magnetoconvection. Zbl 07425740
Xu, Yufan; Horn, Susanne; Aurnou, Jonathan M.
2022
Development of overturning circulation in sloping waterbodies due to surface cooling. Zbl 07425745
Ulloa, Hugo N.; Ramón, Cintia L.; Doda, Tomy; Wüest, Alfred; Bouffard, Damien
2022
Exact solutions for steady granular flow in vertical chutes and pipes. Zbl 1478.76070
Barker, T.; Zhu, C.; Sun, J.
2022
Dynamic coupling between carrier and dispersed phases in Rayleigh-Bénard convection laden with inertial isothermal particles. Zbl 07425751
Yang, Wenwu; Zhang, Yi-Zhao; Wang, Bo-Fu; Dong, Yuhong; Zhou, Quan
2022
Electroconvection near an ion-selective surface with Butler-Volmer kinetics. Zbl 1479.76116
Li, Gaojin; Townsend, Alex; Archer, Lynden A.; Koch, Donald L.
2022
Vortex dynamics and hydrodynamic performance enhancement mechanism in batoid fish oscillatory swimming. Zbl 07425755
Zhang, Dong; Huang, Qiao-Gao; Pan, Guang; Yang, Li-Ming; Huang, Wei-Xi
2022
Rheotaxis and migration of an unsteady microswimmer. Zbl 1477.76122
Omori, T.; Kikuchi, K.; Schmitz, M.; Pavlovic, M.; Chuang, C.-H.; Ishikawa, T.
2022
Thermohaline staircase formation in the diffusive convection regime: a theory based upon stratified turbulence asymptotics. Zbl 07434761
Ma, Yuchen; Peltier, W. R.
2022
Universal scaling of temperature variance in Rayleigh-Bénard convection near the transition to the ultimate state. Zbl 07434766
He, Xiaozhou; Bodenschatz, Eberhard; Ahlers, Guenter
2022
Reflectionless wave propagation on shallow water with variable bathymetry and current. Zbl 07434774
Churilov, Semyon M.; Stepanyants, Yury A.
2022
Explorative gradient method for active drag reduction of the fluidic pinball and slanted Ahmed body. Zbl 07442567
Li, Yiqing; Cui, Wenshi; Jia, Qing; Li, Qiliang; Yang, Zhigang; Morzyński, Marek; Noack, Bernd R.
2022
Numerical investigation of semifilled-pipe flow. Zbl 07442569
Brosda, Julian; Manhart, Michael
2022
Investigation of the influence of miniature vortex generators on the large-scale motions of a turbulent boundary layer. Zbl 07442573
Chan, C. I.; Chin, R. C.
2022
Kármán-Howarth solutions of homogeneous isotropic turbulence. Zbl 07442574
Djenidi, L.; Antonia, R. A.
2022
Decomposition of the mean friction drag on an NACA4412 airfoil under uniform blowing/suction. Zbl 07442575
Fan, Yitong; Atzori, Marco; Vinuesa, Ricardo; Gatti, Davide; Schlatter, Philipp; Li, Weipeng
2022
Relaminarization of spanwise-rotating viscoelastic plane Couette flow via a transition sequence from a drag-reduced inertial to a drag-enhanced elasto-inertial turbulent flow. Zbl 1483.76008
Zhu, Yabiao; Song, Jiaxing; Lin, Fenghui; Liu, Nansheng; Lu, Xiyun; Khomami, Bamin
2022
Asymptotics of streamwise Reynolds stress in wall turbulence. Zbl 1481.76113
Monkewitz, Peter A.
2022
The fate of continuous input of relatively heavy fluid at the base of a porous medium. Zbl 07439055
Huppert, Herbert E.; Pegler, Samuel S.
2022
Interaction of cavitation bubbles with the interface of two immiscible fluids on multiple time scales. Zbl 07439057
Han, Rui; Zhang, A-Man; Tan, Sichao; Li, Shuai
2022
Navigation of micro-swimmers in steady flow: the importance of symmetries. Zbl 07439059
Qiu, Jingran; Mousavi, Navid; Gustavsson, Kristian; Xu, Chunxiao; Mehlig, Bernhard; Zhao, Lihao
2022
Linear instability of lid- and pressure-driven flows in channels textured with longitudinal superhydrophobic grooves. Zbl 07439061
Tomlinson, Samuel D.; Papageorgiou, Demetrios T.
2022
Wall shear stress from jetting cavitation bubbles: influence of the stand-off distance and liquid viscosity. Zbl 07439063
Zeng, Qingyun; An, Hongjie; Ohl, Claus-Dieter
2022
Instability of a dusty Kolmogorov flow. Zbl 07436650
Sozza, Alessandro; Cencini, Massimo; Musacchio, Stefano; Boffetta, Guido
2022
There is no critical mass ratio for galloping of a square cylinder under flow. Zbl 07436651
Han, Peng; de Langre, Emmanuel
2022
Direct numerical simulation of turbulent duct flow with inclined or V-shaped ribs mounted on one wall. Zbl 07449857
Mahmoodi-Jezeh, S. V.; Wang, Bing-Chen
2022
A vortex-wave interaction theory describing the effect of boundary forcing on shear flows. Zbl 07449859
Hall, Philip
2022
Synchronization of low Reynolds number plane Couette turbulence. Zbl 1480.76062
Nikolaidis, Marios-Andreas; Ioannou, Petros J.
2022
Trapping patterns during capillary displacements in disordered media. Zbl 07454663
Liu, Fanli; Wang, Moran
2022
Three-dimensional geometry and topology effects in viscous streaming. Zbl 07454664
Chan, Fan Kiat; Bhosale, Yashraj; Parthasarathy, Tejaswin; Gazzola, Mattia
2022
Capillary instability of a two-layer annular film: an airway closure model. Zbl 07455863
Erken, O.; Romanò, F.; Grotberg, J. B.; Muradoglu, M.
2022
Efficient thrust enhancement by modified pitching motion. Zbl 07451542
Muhammad, Zaka; Alam, Md. Mahbub; Noack, Bernd R.
2022
Stability of an air-water mixing layer: focus on the confinement effect. Zbl 07451543
Bozonnet, Cyril; Matas, Jean-Philippe; Balarac, Guillaume; Desjardins, Olivier
2022
Subcritical and supercritical granular flow around an obstacle on a rough inclined plane. Zbl 07451562
Tregaskis, C.; Johnson, C. G.; Cui, X.; Gray, J. M. N. T.
2022
The coupled dynamics of internal waves and hairpin vortices in stratified plane Poiseuille flow. Zbl 07457891
Lloyd, C. J.; Dorrell, R. M.; Caulfield, C. P.
2022
Finite-size evaporating droplets in weakly compressible homogeneous shear turbulence. Zbl 07457896
Scapin, Nicolò; Barba, Federico Dalla; Lupo, Giandomenico; Rosti, Marco Edorardo; Duwig, Christophe; Brandt, Luca
2022
On the turbulence dynamics induced by a surrogate seagrass canopy. Zbl 07457898
Houseago, Robert C.; Hong, Liu; Cheng, Shyuan; Best, James L.; Parsons, Daniel R.; Chamorro, Leonardo P.
2022
Stokes flows in three-dimensional fluids with odd and parity-violating viscosities. Zbl 07460273
Khain, Tali; Scheibner, Colin; Fruchart, Michel; Vitelli, Vincenzo
2022
Stability and tip streaming of a surfactant-loaded drop in an extensional flow. Influence of surface viscosity. Zbl 07460276
Herrada, M. A.; Ponce-Torres, A.; Rubio, M.; Eggers, J.; Montanero, J. M.
2022
Turbulent entrainment in viscoelastic fluids. Zbl 07460286
Abreu, Hugo; Pinho, Fernando T.; da Silva, Carlos B.
2022
Spectral characterisation of inertial particle clustering in turbulence. Zbl 07460287
Haugen, Nils E. L.; Brandenburg, Axel; Sandin, Christer; Mattsson, Lars
2022
Near-wake dynamics of a vertical-axis turbine. Zbl 07465426
Strom, Benjamin; Polagye, Brian; Brunton, Steven L.
2022
Three-dimensionality of hypersonic laminar flow over a double cone. Zbl 07465428
Hao, Jiaao; Fan, Jianhui; Cao, Shibin; Wen, Chih-Yung
2022
Detachment of strong shocks in confined granular flows. Zbl 07465433
Khan, Aqib; Hankare, Priyanka; Verma, Shivam; Jaiswal, Yash; Kumar, Rakesh; Kumar, Sanjay
2022
Horizontal miscible displacements through porous media: the interplay between viscous fingering and gravity segregation. Zbl 07465434
Nijjer, Japinder S.; Hewitt, Duncan R.; Neufeld, Jerome A.
2022
Slope dependence of self-similar structure and entrainment in gravity currents. Zbl 07465442
Salinas, Jorge S.; Zúñiga, Santiago; Cantero, M. I.; Shringarpure, M.; Fedele, J.; Hoyal, D.; Balachandar, S.
2022
Segregation forces in dense granular flows: closing the gap between single intruders and mixtures. Zbl 07469310
Duan, Yifei; Jing, Lu; Umbanhowar, Paul B.; Ottino, Julio M.; Lueptow, Richard M.
2022
A local approximation model for macroscale transport of biased active Brownian particles in a flowing suspension. Zbl 07469313
Fung, Lloyd; Bearon, Rachel N.; Hwang, Yongyun
2022
Transient growth analysis of hypersonic flow over an elliptic cone. Zbl 07469326
Quintanilha, Helio Jr.; Paredes, Pedro; Hanifi, Ardeshir; Theofilis, Vassilis
2022
Vortex breakdown in variable-density gaseous swirling jets. Zbl 07471430
Keeton, Benjamin W.; Carpio, Jaime; Nomura, Keiko K.; Sánchez, Antonio L.; Williams, Forman A.
2022
Stratified Taylor-Couette flow: nonlinear dynamics. Zbl 1483.76026
Lopez, Juan M.; Marques, Francisco
2022
Flow past a rotationally oscillating cylinder with an attached flexible filament. Zbl 1483.76064
Sunil, Puja; Kumar, Sanjay; Poddar, Kamal
2022
Turbulent thermohaline hydraulic jumps. Zbl 07423164
2022
Secondary vortex, laminar separation bubble and vortex shedding in flow past a low aspect ratio circular cylinder. Zbl 07423166
Chopra, Gaurav; Mittal, Sanjay
2022
Fully developed anelastic convection with no-slip boundaries. Zbl 1476.76070
Jones, Chris A.; Mizerski, Krzysztof A.; Kessar, Mouloud
2022
Locomotion with a wavy cylindrical filament in a yield-stress fluid. Zbl 07473371
Hewitt, D. R.; Balmforth, N. J.
2022
Point-vortex dynamics in three-dimensional ageostrophic balanced flows. Zbl 07473373
Weiss, Jeffrey B.
2022
The double backward-facing step: interaction of multiple separated flow regions. Zbl 07474274
McQueen, Thomas; Burton, David; Sheridan, John; Thompson, Mark C.
2022
Formation of a strong negative wake behind a helical swimmer in a viscoelastic fluid. Zbl 07528753
2022
A layer of yield-stress material on a flat plate that moves suddenly. Zbl 07531058
Hinton, Edward M.; Collis, Jesse F.; Sader, John E.
2022
Consistency between the attached-eddy model and the inner-outer interaction model: a study of streamwise wall-shear stress fluctuations in a turbulent channel flow. Zbl 07531831
Cheng, Cheng; Fu, Lin
2022
High-resolution direct simulation of deep water breaking waves: transition to turbulence, bubbles and droplets production. Zbl 07531834
Mostert, W.; Popinet, S.; Deike, L.
2022
Contactless rebound of elastic bodies in a viscous incompressible fluid. Zbl 07531840
Gravina, G.; Schwarzacher, S.; Souček, O.; Tůma, K.
2022
...and 511 more Documents
all top 5

### Cited by 45,548 Authors

 124 Lohse, Detlef 121 Hayat, Tasawar 105 Grimshaw, Roger Hamilton James 105 Smith, Frank T. 101 Vanden-Broeck, Jean-Marc 98 Stone, Howard Alvin 97 Karniadakis, George Em 92 Pop, Ioan 92 Sagaut, Pierre 90 Verzicco, Roberto 87 Henningson, Dan S. 81 Knobloch, Edgar 78 Meiburg, Eckart H. 77 Busse, Friedrich Hermann 76 Brandt, Luca 76 Chen, Shiyi 73 Forbes, Lawrence K. 73 Pullin, Dale I. 69 Thompson, Mark Christopher 68 Khoo, Boo Cheong 68 Pozrikidis, Constantine 66 Hall, Philip 66 Majda, Andrew J. 66 Moin, Parviz 65 Joseph, Daniel D. 65 Koch, Donald L. 64 Crowdy, Darren Gregory 64 Lu, Xiyun 63 Marusic, Ivan 63 Meneveau, Charles 62 Dritschel, David Gerard 60 Papageorgiou, Demetrios T. 59 Haller, George 59 Schmid, Peter Joseph 59 Zaki, Tamer A. 58 Antonia, Robert Anthony 58 Balachandar, S. Raja 58 Shu, Chang 58 van Heijst, Gert-Jan F. 57 Caulfield, C. P. 57 Schlatter, Philipp 56 Colonius, Tim 55 Chomaz, Jean-Marc 55 Hourigan, Kerry 55 Prosperetti, Andrea 52 Andersson, Helge I. 52 Holm, Darryl Dallas 52 Lele, Sanjiva K. 52 Mei, Chiang C. 52 Nazarov, Sergeĭ Aleksandrovich 51 Dias, Frédéric 51 Kalliadasis, Serafim 51 Pope, Stephen Bailey 50 Sipp, Denis 50 Straughan, Brian 49 Adams, Nikolaus A. 49 Kerswell, Richard Rodney 49 Miles, John Wilder 49 Rajagopal, Kumbakonam Ramamani 49 Sarkar, Sutanu 49 Sherwin, Spencer J. 48 Davis, Stephen Howard 48 Huppert, Herbert E. 48 Johnson, Edward Robert 48 Liao, Shijun 48 Liu, Philip L.-F. 48 Shaqfeh, Eric S. G. 48 van Gorder, Robert Ashton 48 Woods, Andrew W. 47 Balmforth, Neil J. 47 Dutykh, Denys 47 Saffman, Philip Geoffrey 46 Constantin, Adrian 46 Schröder, Wolfgang Armin 45 Asghar, Saleem 45 Clercx, Herman J. H. 45 Ganapathisubramani, Bharathram 45 López, Juan Manuel 45 Power, Henry 44 Homsy, George M. 44 Hutchins, Nicholas 44 Ingham, Derek Binns 44 Phan-Thien, Nhan 43 Duck, Peter W. 43 Gallaire, François 43 Geurts, Bernard J. 43 Leal, L. Gary 43 Merkin, John H. 43 Mezić, Igor 43 Noack, Bernd R. 43 Shen, Lian 43 Smits, Alexander J. 43 Ungarish, Marius 43 Yue, Dick K. P. 42 Blyth, Mark G. 42 Bridges, Thomas J. 42 Le Dizès, Stéphane 42 Matar, Omar K. 42 Orlandi, Paolo 42 Pirozzoli, Sergio ...and 45,448 more Authors
all top 5

### Cited in 788 Journals

 11,857 Journal of Fluid Mechanics 5,003 Physics of Fluids 2,759 Journal of Computational Physics 2,345 Computers and Fluids 1,287 European Journal of Mechanics. B. Fluids 1,002 Physica D 995 Fluid Dynamics 827 Journal of Engineering Mathematics 716 Acta Mechanica 705 Computer Methods in Applied Mechanics and Engineering 641 Physics of Fluids, A 605 ZAMP. Zeitschrift für angewandte Mathematik und Physik 599 Applied Mathematical Modelling 575 International Journal for Numerical Methods in Fluids 510 Wave Motion 494 Applied Mathematics and Computation 433 International Journal of Heat and Mass Transfer 426 Geophysical and Astrophysical Fluid Dynamics 409 Computers & Mathematics with Applications 366 Studies in Applied Mathematics 354 Theoretical and Computational Fluid Dynamics 336 Journal of Mathematical Physics 334 International Journal of Engineering Science 307 Archive for Rational Mechanics and Analysis 306 Combustion Theory and Modelling 301 International Journal of Computational Fluid Dynamics 291 Chaos 286 Journal of Mathematical Analysis and Applications 275 Communications in Nonlinear Science and Numerical Simulation 264 Journal of Computational and Applied Mathematics 257 Engineering Analysis with Boundary Elements 254 International Journal of Numerical Methods for Heat & Fluid Flow 253 Journal of Statistical Physics 252 Flow, Turbulence and Combustion 250 Applied Mathematics and Mechanics. (English Edition) 241 Journal of Scientific Computing 232 Journal of Differential Equations 230 Journal of Applied Mathematics and Mechanics 219 Meccanica 209 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 191 Journal of Nonlinear Science 191 Journal of Turbulence 188 Chaos, Solitons and Fractals 164 Communications in Mathematical Physics 158 Astrophysics and Space Science 158 Acta Mechanica Sinica 152 Mathematical Problems in Engineering 150 Journal of Applied Mechanics and Technical Physics 149 Applied Numerical Mathematics 148 Journal of Non-Newtonian Fluid Mechanics 142 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 139 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 134 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 134 Applied Mathematics Letters 131 SIAM Journal on Applied Mathematics 130 Mathematics and Computers in Simulation 129 Nonlinear Analysis. Real World Applications 128 Physica A 126 Mathematical and Computer Modelling 120 Communications in Computational Physics 116 Computational Mechanics 116 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 115 Nonlinear Dynamics 115 Journal of Mathematical Fluid Mechanics 114 International Journal for Numerical Methods in Engineering 112 SIAM Journal on Scientific Computing 110 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 103 European Journal of Applied Mathematics 101 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 97 Physics Letters. A 93 Applicable Analysis 93 Nonlinearity 90 SIAM Journal on Applied Dynamical Systems 90 International Journal of Applied and Computational Mathematics 88 Shock Waves 85 SIAM Journal on Mathematical Analysis 84 Mathematical Methods in the Applied Sciences 83 Mathematika 82 The ANZIAM Journal 79 Bulletin of Mathematical Biology 79 Discrete and Continuous Dynamical Systems 78 Rheologica Acta 77 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 75 Theoretical and Mathematical Physics 75 Advances in Applied Mathematics and Mechanics 74 Journal of Theoretical Biology 72 Journal of Nonlinear Mathematical Physics 69 Journal of Mathematical Sciences (New York) 69 AMM. Applied Mathematics and Mechanics. (English Edition) 68 Journal of Non-Equilibrium Thermodynamics 67 Proceedings of the National Academy of Sciences of the United States of America 67 Continuum Mechanics and Thermodynamics 66 Computational Geosciences 66 Sādhanā 65 Prikladnaya Matematika i Mekhanika 64 Quarterly of Applied Mathematics 60 Computational Mathematics and Mathematical Physics 60 Regular and Chaotic Dynamics 59 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 58 Communications in Partial Differential Equations ...and 688 more Journals
all top 5

### Cited in 60 Fields

 43,155 Fluid mechanics (76-XX) 7,539 Partial differential equations (35-XX) 5,096 Numerical analysis (65-XX) 3,357 Classical thermodynamics, heat transfer (80-XX) 2,890 Mechanics of deformable solids (74-XX) 2,749 Geophysics (86-XX) 2,168 Dynamical systems and ergodic theory (37-XX) 1,563 Biology and other natural sciences (92-XX) 1,232 Statistical mechanics, structure of matter (82-XX) 750 Ordinary differential equations (34-XX) 572 Probability theory and stochastic processes (60-XX) 485 Mechanics of particles and systems (70-XX) 403 Optics, electromagnetic theory (78-XX) 383 Calculus of variations and optimal control; optimization (49-XX) 366 Systems theory; control (93-XX) 301 Astronomy and astrophysics (85-XX) 282 Computer science (68-XX) 236 Quantum theory (81-XX) 225 Differential geometry (53-XX) 194 Integral equations (45-XX) 194 Statistics (62-XX) 165 Global analysis, analysis on manifolds (58-XX) 155 Operator theory (47-XX) 148 Measure and integration (28-XX) 142 Functions of a complex variable (30-XX) 117 Real functions (26-XX) 105 Harmonic analysis on Euclidean spaces (42-XX) 104 Operations research, mathematical programming (90-XX) 92 Approximations and expansions (41-XX) 89 Relativity and gravitational theory (83-XX) 89 Information and communication theory, circuits (94-XX) 87 Special functions (33-XX) 75 History and biography (01-XX) 62 Potential theory (31-XX) 60 Integral transforms, operational calculus (44-XX) 59 Functional analysis (46-XX) 58 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 44 Manifolds and cell complexes (57-XX) 40 General and overarching topics; collections (00-XX) 29 Topological groups, Lie groups (22-XX) 26 Difference and functional equations (39-XX) 22 Algebraic geometry (14-XX) 17 Algebraic topology (55-XX) 16 Combinatorics (05-XX) 16 Nonassociative rings and algebras (17-XX) 13 Number theory (11-XX) 12 General topology (54-XX) 11 Geometry (51-XX) 11 Convex and discrete geometry (52-XX) 9 Group theory and generalizations (20-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Mathematics education (97-XX) 5 Mathematical logic and foundations (03-XX) 5 Sequences, series, summability (40-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX)