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Luchini, Paolo

Compute Distance To:
 Author ID: luchini.paolo Published as: Luchini, Paolo; Luchini, P.
 Documents Indexed: 67 Publications since 1986
all top 5

Co-Authors

 17 single-authored 8 Bottaro, Alessandro 7 Quadrio, Maurizio 6 Charru, François 6 Giannetti, Flavio 5 Citro, Vincenzo 5 Pozzi, Amilcare 4 Tognaccini, Renato 4 Zuccher, Simone 3 Fabre, David 3 Manzo, Fernando 2 Bewley, Thomas R. 2 Camarri, Simone 2 Ern, Patricia 2 Longobardi, Raffaele 2 Russo, Serena 2 Teodori, Alba Rosa 1 Banchetti, Jacopo 1 Bassano, Edmondo 1 Bonnefis, Paul 1 Brandt, Luca 1 Cathalifaud, Patricia 1 D’Alascio, A. 1 Floryan, Jerzy M. 1 Lupo, Maela 1 Meneghello, Gianluca 1 Pralits, Jan O. 1 Siconolfi, Lorenzo 1 Tchoufag, Joël 1 Trombetta, Giuseppe 1 Viotti, Claudio
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Serials

 24 Journal of Fluid Mechanics 9 European Journal of Mechanics. B. Fluids 6 Journal of Computational Physics 6 Physics of Fluids 2 AIAA Journal 2 Applied Scientific Research 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Meccanica 1 Journal of Applied Mechanics 1 Journal of Engineering Mathematics 1 Theoretical and Computational Fluid Dynamics 1 Automatica 1 European Journal of Mechanics. B. Fluids 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
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Fields

 60 Fluid mechanics (76-XX) 6 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX)

Citations contained in zbMATH Open

55 Publications have been cited 687 times in 505 Documents Cited by Year
Reynolds-number-independent instability of the boundary layer over a flat surface: Optimal perturbations. Zbl 0959.76022
Luchini, Paolo
2000
Structural sensitivity of the first instability of the cylinder wake. Zbl 1115.76028
Giannetti, Flavio; Luchini, Paolo
2007
Adjoint equations in stability analysis. Zbl 1297.76068
Luchini, Paolo; Bottaro, Alessandro
2014
The effect of base flow variation on flow stability. Zbl 1041.76029
Bottaro, Alessandro; Corbett, Peter; Luchini, Paolo
2003
Görtler vortices: A backward-in-time approach to the receptivity problem. Zbl 0926.76038
Luchini, Paolo; Bottaro, Alessandro
1998
Reynolds-number-independent instability of the boundary layer over a flat surface. Zbl 0883.76034
Luchini, Paolo
1996
Stability analysis of a shear flow with strongly stratified viscosity. Zbl 1065.76083
Ern, Patricia; Charru, François; Luchini, Paolo
2003
Resistance of a grooved surface to parallel flow and cross-flow. Zbl 0723.76032
Luchini, Paolo; Manzo, Fernando; Pozzi, Amilcare
1991
Görtler vortices: Are they amenable to local eigenvalue analysis? Zbl 0940.76016
Bottaro, A.; Luchini, P.
1999
Structural sensitivity of the secondary instability in the wake of a circular cylinder. Zbl 1189.76219
Giannetti, Flavio; Camarri, Simone; Luchini, Paolo
2010
A low-cost parallel implementation of direct numerical simulation of wall turbulence. Zbl 1138.76407
2006
Integral space-time scales in turbulent wall flows. Zbl 1186.76438
2003
Algebraic growth in boundary layers: Optimal control by blowing and suction at the wall. Zbl 0966.76019
Cathalifaud, Patricia; Luchini, Paolo
2000
Algebraic growth in a Blasius boundary layer: optimal and robust control by mean suction in the nonlinear regime. Zbl 1107.76032
Zuccher, Simone; Luchini, Paolo; Bottaro, Alessandro
2004
Streamwise oscillation of spanwise velocity at the wall of a channel for turbulent drag reduction. Zbl 1183.76547
Viotti, Claudio; Quadrio, Maurizio; Luchini, Paolo
2009
Consistent section-averaged equations of quasi-one-dimensional laminar flow. Zbl 1197.76044
Luchini, Paolo; Charru, François
2010
Giannetti, Flavio; Luchini, Paolo
2006
Asymptotic analysis of laminar boundary-layer flow over finely grooved surfaces. Zbl 0835.76024
Luchini, P.
1995
Linear stability and receptivity analyses of the Stokes layer produced by an impulsively started plate. Zbl 1184.76335
Luchini, Paolo; Bottaro, Alessandro
2001
Linear stability and weakly nonlinear analysis of the flow past rotating spheres. Zbl 1383.76163
Citro, V.; Tchoufag, J.; Fabre, D.; Giannetti, F.; Luchini, P.
2016
Algebraic growth in a Blasius boundary layer: Nonlinear optimal disturbances. Zbl 1078.76032
Zuccher, Simone; Bottaro, Alessandro; Luchini, Paolo
2006
The start-up vortex issuing from a semi-infinite flat plate. Zbl 0996.76021
Luchini, Paolo; Tognaccini, Renato
2002
Linearized no-slip boundary conditions at a rough surface. Zbl 1294.76085
Luchini, Paolo
2013
The phase lead of shear stress in shallow-water flow over a perturbed bottom. Zbl 1225.76084
Luchini, Paolo; Charru, François
2010
Adjoint analysis of the flow over a forward-facing step. Zbl 1234.76023
Marino, L.; Luchini, P.
2009
The linear response of turbulent flow to a volume force: comparison between eddy-viscosity model and DNS. Zbl 1382.76144
Russo, S.; Luchini, P.
2016
The phase-locked mean impulse response of a turbulent channel flow. Zbl 1146.76474
Luchini, Paolo; Quadrio, Maurizio; Zuccher, Simone
2006
Towards a quantitative comparison between global and local stability analysis. Zbl 1383.76150
Siconolfi, L.; Citro, V.; Giannetti, F.; Camarri, S.; Luchini, P.
2017
Higher-order difference approximations of the Navier-Stokes equations. Zbl 0721.76052
Luchini, Paolo
1991
Linear three-dimensional global and asymptotic stability analysis of incompressible open cavity flow. Zbl 1337.76031
Citro, Vincenzo; Giannetti, Flavio; Brandt, Luca; Luchini, Paolo
2015
Direct numerical simulation of the turbulent flow in a pipe with annular cross section. Zbl 1051.76581
2002
Immersed-boundary simulations of turbulent flow past a sinusoidally undulated river bottom. Zbl 1408.76337
Luchini, Paolo
2016
Structure and interpolation of the turbulent velocity profile in parallel flow. Zbl 1408.76275
Luchini, Paolo
2018
Addendum to: “Immersed-boundary simulations of turbulent flow past a sinusoidally undulated river bottom”. Zbl 1408.76338
Luchini, Paolo
2017
Effect of streamwise-periodic wall transpiration on turbulent friction drag. Zbl 1178.76210
Quadrio, M.; Floryan, J. M.; Luchini, P.
2007
Eigenfunction expansion for creeping flow in a partially obstructed flow. Zbl 0785.76082
Luchini, P.; Pozzi, A.; Teodori, A. R.
1991
Multigrid pressure correction techniques for the computation of quasi- incompressible internal flows. Zbl 0794.76058
Luchini, P.; D’Alascio, A.
1994
Effects of riblets upon flow stability. Zbl 0845.76020
Luchini, Paolo; Trombetta, Giuseppe
1995
Direction-adaptive nonreflecting boundary conditions. Zbl 0863.65047
Luchini, Paolo; Tognaccini, Renato
1996
Acoustic streaming and lower-than-laminar drag in controlled channel flow. Zbl 1308.76109
Luchini, P.
2008
Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate. Zbl 0942.76050
Luchini, P.; Tognaccini, R.
1999
Boundary-layer receptivity to external disturbances using multiple scales. Zbl 1304.76023
Zuccher, Simone; Luchini, Paolo
2014
An adaptive-mesh finite-difference solution method for the Navier-Stokes equations. Zbl 0609.76022
Luchini, Paolo
1987
Is a plane liquid curtain algebraically absolutely unstable? Zbl 1186.76338
Luchini, Paolo
2004
Acoustic impedance and hydrodynamic instability of the flow through a circular aperture in a thick plate. Zbl 1460.76695
Fabre, David; Longobardi, R.; Citro, V.; Luchini, P.
2020
The acoustic impedance of a laminar viscous jet through a thin circular aperture. Zbl 1415.76561
Fabre, David; Longobardi, Raffaele; Bonnefis, Paul; Luchini, Paolo
2019
A deferred-correction multigrid algorithm based on a new smoother for the Navier-Stokes equations. Zbl 0709.76029
Luchini, Paolo
1991
Coupled flow in porous-material lined pipes. Zbl 0738.76075
Luchini, Paolo; Bassano, Edmondo
1991
Creeping flow in partially obstructed ducts. Zbl 0825.76141
Luchini, P.; Pozzi, A.; Teodori, A. R.
1994
Methods for solution of large optimal control problems that bypass open-loop model reduction. Zbl 1374.93294
Bewley, Thomas; Luchini, Paolo; Pralits, Jan
2016
A fast algorithm for the estimation of statistical error in DNS (or experimental) time averages. Zbl 1380.65027
Russo, Serena; Luchini, Paolo
2017
The linear stability of Görtler vortices revisited. Zbl 0861.76036
Bottaro, Alessandro; Luchini, Paolo
1996
Viscous and inviscid simulations of the start-up vortex. Zbl 1383.76071
Luchini, Paolo; Tognaccini, Renato
2017
Instability of a nearly inextensible thin layer in a shear flow. Zbl 1039.76015
Charru, François; Luchini, Paolo; Ern, Patricia
2003
Turbulent drag reduction over curved walls. Zbl 1460.76565
Banchetti, Jacopo; Luchini, Paolo; Quadrio, Maurizio
2020
Acoustic impedance and hydrodynamic instability of the flow through a circular aperture in a thick plate. Zbl 1460.76695
Fabre, David; Longobardi, R.; Citro, V.; Luchini, P.
2020
Turbulent drag reduction over curved walls. Zbl 1460.76565
Banchetti, Jacopo; Luchini, Paolo; Quadrio, Maurizio
2020
The acoustic impedance of a laminar viscous jet through a thin circular aperture. Zbl 1415.76561
Fabre, David; Longobardi, Raffaele; Bonnefis, Paul; Luchini, Paolo
2019
Structure and interpolation of the turbulent velocity profile in parallel flow. Zbl 1408.76275
Luchini, Paolo
2018
Towards a quantitative comparison between global and local stability analysis. Zbl 1383.76150
Siconolfi, L.; Citro, V.; Giannetti, F.; Camarri, S.; Luchini, P.
2017
Addendum to: “Immersed-boundary simulations of turbulent flow past a sinusoidally undulated river bottom”. Zbl 1408.76338
Luchini, Paolo
2017
A fast algorithm for the estimation of statistical error in DNS (or experimental) time averages. Zbl 1380.65027
Russo, Serena; Luchini, Paolo
2017
Viscous and inviscid simulations of the start-up vortex. Zbl 1383.76071
Luchini, Paolo; Tognaccini, Renato
2017
Linear stability and weakly nonlinear analysis of the flow past rotating spheres. Zbl 1383.76163
Citro, V.; Tchoufag, J.; Fabre, D.; Giannetti, F.; Luchini, P.
2016
The linear response of turbulent flow to a volume force: comparison between eddy-viscosity model and DNS. Zbl 1382.76144
Russo, S.; Luchini, P.
2016
Immersed-boundary simulations of turbulent flow past a sinusoidally undulated river bottom. Zbl 1408.76337
Luchini, Paolo
2016
Methods for solution of large optimal control problems that bypass open-loop model reduction. Zbl 1374.93294
Bewley, Thomas; Luchini, Paolo; Pralits, Jan
2016
Linear three-dimensional global and asymptotic stability analysis of incompressible open cavity flow. Zbl 1337.76031
Citro, Vincenzo; Giannetti, Flavio; Brandt, Luca; Luchini, Paolo
2015
Adjoint equations in stability analysis. Zbl 1297.76068
Luchini, Paolo; Bottaro, Alessandro
2014
Boundary-layer receptivity to external disturbances using multiple scales. Zbl 1304.76023
Zuccher, Simone; Luchini, Paolo
2014
Linearized no-slip boundary conditions at a rough surface. Zbl 1294.76085
Luchini, Paolo
2013
Structural sensitivity of the secondary instability in the wake of a circular cylinder. Zbl 1189.76219
Giannetti, Flavio; Camarri, Simone; Luchini, Paolo
2010
Consistent section-averaged equations of quasi-one-dimensional laminar flow. Zbl 1197.76044
Luchini, Paolo; Charru, François
2010
The phase lead of shear stress in shallow-water flow over a perturbed bottom. Zbl 1225.76084
Luchini, Paolo; Charru, François
2010
Streamwise oscillation of spanwise velocity at the wall of a channel for turbulent drag reduction. Zbl 1183.76547
Viotti, Claudio; Quadrio, Maurizio; Luchini, Paolo
2009
Adjoint analysis of the flow over a forward-facing step. Zbl 1234.76023
Marino, L.; Luchini, P.
2009
Acoustic streaming and lower-than-laminar drag in controlled channel flow. Zbl 1308.76109
Luchini, P.
2008
Structural sensitivity of the first instability of the cylinder wake. Zbl 1115.76028
Giannetti, Flavio; Luchini, Paolo
2007
Effect of streamwise-periodic wall transpiration on turbulent friction drag. Zbl 1178.76210
Quadrio, M.; Floryan, J. M.; Luchini, P.
2007
A low-cost parallel implementation of direct numerical simulation of wall turbulence. Zbl 1138.76407
2006
Giannetti, Flavio; Luchini, Paolo
2006
Algebraic growth in a Blasius boundary layer: Nonlinear optimal disturbances. Zbl 1078.76032
Zuccher, Simone; Bottaro, Alessandro; Luchini, Paolo
2006
The phase-locked mean impulse response of a turbulent channel flow. Zbl 1146.76474
Luchini, Paolo; Quadrio, Maurizio; Zuccher, Simone
2006
Algebraic growth in a Blasius boundary layer: optimal and robust control by mean suction in the nonlinear regime. Zbl 1107.76032
Zuccher, Simone; Luchini, Paolo; Bottaro, Alessandro
2004
Is a plane liquid curtain algebraically absolutely unstable? Zbl 1186.76338
Luchini, Paolo
2004
The effect of base flow variation on flow stability. Zbl 1041.76029
Bottaro, Alessandro; Corbett, Peter; Luchini, Paolo
2003
Stability analysis of a shear flow with strongly stratified viscosity. Zbl 1065.76083
Ern, Patricia; Charru, François; Luchini, Paolo
2003
Integral space-time scales in turbulent wall flows. Zbl 1186.76438
2003
Instability of a nearly inextensible thin layer in a shear flow. Zbl 1039.76015
Charru, François; Luchini, Paolo; Ern, Patricia
2003
The start-up vortex issuing from a semi-infinite flat plate. Zbl 0996.76021
Luchini, Paolo; Tognaccini, Renato
2002
Direct numerical simulation of the turbulent flow in a pipe with annular cross section. Zbl 1051.76581
2002
Linear stability and receptivity analyses of the Stokes layer produced by an impulsively started plate. Zbl 1184.76335
Luchini, Paolo; Bottaro, Alessandro
2001
Reynolds-number-independent instability of the boundary layer over a flat surface: Optimal perturbations. Zbl 0959.76022
Luchini, Paolo
2000
Algebraic growth in boundary layers: Optimal control by blowing and suction at the wall. Zbl 0966.76019
Cathalifaud, Patricia; Luchini, Paolo
2000
Görtler vortices: Are they amenable to local eigenvalue analysis? Zbl 0940.76016
Bottaro, A.; Luchini, P.
1999
Comparison of viscous and inviscid numerical simulations of the start-up vortex issuing from a semi-infinite flat plate. Zbl 0942.76050
Luchini, P.; Tognaccini, R.
1999
Görtler vortices: A backward-in-time approach to the receptivity problem. Zbl 0926.76038
Luchini, Paolo; Bottaro, Alessandro
1998
Reynolds-number-independent instability of the boundary layer over a flat surface. Zbl 0883.76034
Luchini, Paolo
1996
Direction-adaptive nonreflecting boundary conditions. Zbl 0863.65047
Luchini, Paolo; Tognaccini, Renato
1996
The linear stability of Görtler vortices revisited. Zbl 0861.76036
Bottaro, Alessandro; Luchini, Paolo
1996
Asymptotic analysis of laminar boundary-layer flow over finely grooved surfaces. Zbl 0835.76024
Luchini, P.
1995
Effects of riblets upon flow stability. Zbl 0845.76020
Luchini, Paolo; Trombetta, Giuseppe
1995
Multigrid pressure correction techniques for the computation of quasi- incompressible internal flows. Zbl 0794.76058
Luchini, P.; D&rsquo;Alascio, A.
1994
Creeping flow in partially obstructed ducts. Zbl 0825.76141
Luchini, P.; Pozzi, A.; Teodori, A. R.
1994
Resistance of a grooved surface to parallel flow and cross-flow. Zbl 0723.76032
Luchini, Paolo; Manzo, Fernando; Pozzi, Amilcare
1991
Higher-order difference approximations of the Navier-Stokes equations. Zbl 0721.76052
Luchini, Paolo
1991
Eigenfunction expansion for creeping flow in a partially obstructed flow. Zbl 0785.76082
Luchini, P.; Pozzi, A.; Teodori, A. R.
1991
A deferred-correction multigrid algorithm based on a new smoother for the Navier-Stokes equations. Zbl 0709.76029
Luchini, Paolo
1991
Coupled flow in porous-material lined pipes. Zbl 0738.76075
Luchini, Paolo; Bassano, Edmondo
1991
An adaptive-mesh finite-difference solution method for the Navier-Stokes equations. Zbl 0609.76022
Luchini, Paolo
1987
all top 5

Cited by 769 Authors

 26 Luchini, Paolo 20 Henningson, Dan S. 18 Bottaro, Alessandro 15 Juniper, Matthew P. 14 Ricco, Pierre 14 Sipp, Denis 13 Brandt, Luca 12 Giannetti, Flavio 12 Quadrio, Maurizio 11 Cherubini, Stefania 10 Camarri, Simone 10 Schmid, Peter Joseph 9 Citro, Vincenzo 9 Hanifi, Ardeshir 9 Sahu, Kirti Chandra 9 Zaki, Tamer A. 7 Chomaz, Jean-Marc 7 Duck, Peter W. 7 Fransson, Jens H. M. 7 Gallaire, François 7 Meliga, Philippe 7 Robinet, Jean-Christophe 7 Wu, Xuesong 6 Caulfield, C. P. 6 Cossu, Carlo 6 De Palma, Pietro 6 Govindarajan, Rama 6 Hasegawa, Yosuke 6 Sherwin, Spencer J. 6 Tammisola, Outi 5 Alfredsson, Per Henrik 5 Bagheri, Shervin 5 Biau, Damien 5 Boiko, Andrey V. 5 Gatti, Davide 5 Kachanov, Yury S. 5 Lundell, Fredrik 5 Magri, Luca 5 Mao, XueRui 5 Pralits, Jan O. 5 Rist, Ulrich 5 Ustinov, Maxim V. 5 Vila, Jean-Paul 4 Airiau, Christophe 4 Blackburn, Hugh M. 4 Borodulin, Vladimir I. 4 Boujo, E. 4 Cavalieri, André V. G. 4 Charru, François 4 Chen, Kevin K. 4 Choudhari, Meelan M. 4 Fabre, David 4 Frohnapfel, Bettina 4 García-Mayoral, Ricardo 4 Gérard-Varet, David 4 Ivanov, Andrey V. 4 Levin, Ori 4 Marquet, Olivier 4 Picella, Francesco 4 Schlatter, Philipp 4 Sescu, Adrian 3 Abdessemed, N. 3 Bewley, Thomas R. 3 Bodony, Daniel J. 3 Cathalifaud, Patricia 3 Chandler, Gary J. 3 Chernyshenko, Sergei I. 3 Choi, Haecheon 3 Coenen, Wilfried 3 Floryan, Jerzy M. 3 Frigaard, Ian A. 3 Goldstein, Marvin E. 3 Hack, M. J. Philipp 3 Hall, Philip 3 Hutchins, Nicholas 3 Hwang, Yongyun 3 Illingworth, Simon J. 3 Jacquin, Laurent 3 Lasagna, Davide 3 Loiseau, Jean-Christophe 3 Nouar, Chérif 3 Pasche, Simon 3 Qadri, Ubaid Ali 3 Ren, Jie 3 Reshotko, Eli 3 Richard, Gäel Loïc 3 Rossi, Maurice 3 Rowley, Clarence W. 3 Ruyer-Quil, Christian 3 Skote, Martin 3 Talamelli, Alessandro 3 Tempelmann, David 3 Theofilis, Vassilis 3 Tumin, Anatoli 3 Wang, Bofu 3 White, Edward B. 3 Wielage-Burchard, Kerstin 3 Zuccher, Simone 2 Åkervik, Espen 2 Alizard, Frédéric ...and 669 more Authors
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Cited in 52 Serials

 281 Journal of Fluid Mechanics 64 Physics of Fluids 44 European Journal of Mechanics. B. Fluids 23 Journal of Computational Physics 13 Computers and Fluids 5 Theoretical and Computational Fluid Dynamics 4 Acta Mechanica 4 Fluid Dynamics 4 International Journal for Numerical Methods in Fluids 4 Journal of Engineering Mathematics 3 Meccanica 2 Communications in Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Systems & Control Letters 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Computational Mathematics and Mathematical Physics 2 Nonlinear Dynamics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Flow, Turbulence and Combustion 2 Acta Mechanica Sinica 1 Computers & Mathematics with Applications 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Chaos, Solitons and Fractals 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Scientific Computing 1 Computational Mathematics and Modeling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Mathematical Analysis 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Sādhanā 1 SIAM Journal on Applied Dynamical Systems 1 Complex Analysis and Operator Theory 1 Science China. Technological Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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Cited in 21 Fields

 488 Fluid mechanics (76-XX) 24 Numerical analysis (65-XX) 17 Mechanics of deformable solids (74-XX) 14 Partial differential equations (35-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Systems theory; control (93-XX) 6 Geophysics (86-XX) 5 Ordinary differential equations (34-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 4 Operations research, mathematical programming (90-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX)