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## Galdi, Giovanni Paolo

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 Author ID: galdi.giovanni-paolo Published as: Galdi, Giovanni P.; Galdi, G. P.; Galdi, Giovanni Paolo; Galdi, Giovanni Homepage: http://www.engineering.pitt.edu/PaoloGaldi/ External Links: MGP · dblp
 Documents Indexed: 184 Publications since 1973, including 26 Books Biographic References: 1 Publication
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#### Co-Authors

 49 single-authored 18 Rionero, Salvatore 11 Kyed, Mads 8 Padula, Mariarosaria 7 Nečasová, Šárka 7 Pileckas, Konstantin 7 Rannacher, Rolf 7 Silvestre, Ana Leonor 7 Sohr, Hermann 7 Straughan, Brian 5 Bodnár, Tomáš 5 Grisanti, Carlo-Romano 5 Maremonti, Paolo 5 Mazzone, Giusy 4 Farwig, Reinhard 4 Heywood, John G. 4 Robertson, Anne M. 4 Simader, Christian Georg 3 Bemelmans, Josef 3 Berselli, Luigi Carlo 3 Mohebbi, Mahdi 3 Nečas, Jindřich 3 Rajagopal, Kumbakonam Ramamani 3 Sequeira, Adélia 2 Coscia, Vincenzo 2 Deuring, Paul 2 Grobbelaar-Van Dalsen, Marié 2 Hieber, Matthias 2 Joseph, Daniel D. 2 Knops, Robin J. 2 Layton, William J. 2 Málek, Josef 2 Novotný, Antonín 2 Passerini, Arianna 2 Rabier, Patrick J. 2 Sauer, Niko 2 Shibata, Yoshihiro 2 Solonnikov, Vsevolod Alekseevich 2 Turek, Stefan 2 Vaidya, Ashwin 2 Zunino, Paolo 1 Amann, Herbert 1 Bandelli, R. 1 Bonheure, Denis 1 Borchers, Wolfgang 1 Buttazzo, Giuseppe 1 Campiti, Michele 1 Disser, Karoline 1 Feng, Jimmy 1 Fursikov, Andreĭ Vladimirovich 1 Gazzola, Filippo 1 Glowinski, Roland 1 Haljasmaa, I. V. 1 Herron, Isom H. jun. 1 Heuveline, Vincent 1 Iliescu, Traian 1 Kashiwabara, Takahito 1 Mácha, Václav 1 Metafune, Giorgio 1 Neustupa, Jiří 1 Pan, Tsorng-Whay 1 Payne, Lawrence Edward 1 Pokorný, Milan 1 Preziosi, Luigi 1 Proctor, Michael Richard Edward 1 Pukhnachov, Vladislav Vasil’evich 1 Reddy, B. Dayanand 1 Spina, Chiara 1 Tacelli, Cristian 1 Videman, Juha Hans 1 Zakerzadeh, Rana 1 Zanghirati, Luisa 1 Zhou, Yong
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#### Serials

 35 Archive for Rational Mechanics and Analysis 9 Journal of Mathematical Fluid Mechanics 7 Advances in Mathematical Fluid Mechanics 6 Proceedings of the American Mathematical Society 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Pacific Journal of Mathematics 4 Ricerche di Matematica 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Non-Newtonian Fluid Mechanics 3 International Journal of Engineering Science 3 Lithuanian Mathematical Journal 2 International Journal of Non-Linear Mechanics 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 2 Indiana University Mathematics Journal 2 Quarterly of Applied Mathematics 2 Journal of Elasticity 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Lecture Notes in Mathematics 1 Archives of Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Le Matematiche 1 Mathematische Annalen 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Mathematics Letters 1 European Journal of Mechanics. B. Fluids 1 Differential and Integral Equations 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Advances in Mathematical Sciences and Applications 1 Journal of Mathematical Sciences (New York) 1 Analysis (München) 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Oberwolfach Reports 1 Bollettino della Unione Matematica Italiana. Series IV 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 Series on Advances in Mathematics for Applied Sciences 1 Quaderni di Matematica 1 Oberwolfach Seminars 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 RIMS Kôkyûroku Bessatsu 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Contemporary Challenges in Mathematical Fluid Dynamics and Its Applications
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#### Fields

 161 Fluid mechanics (76-XX) 133 Partial differential equations (35-XX) 23 General and overarching topics; collections (00-XX) 16 Mechanics of deformable solids (74-XX) 8 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Numerical analysis (65-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

149 Publications have been cited 3,064 times in 1,986 Documents Cited by Year
An introduction to the mathematical theory of the Navier-Stokes equations. Vol. I: Linearized steady problems. Zbl 0949.35004
Galdi, Giovanni P.
1994
An introduction to the mathematical theory of the Navier-Stokes equations. Steady-state problems. 2nd ed. Zbl 1245.35002
Galdi, Giovanni P.
2011
An introduction to the mathematical theory of the Navier-Stokes equations. Vol. II: Nonlinear steady problems. Zbl 0949.35005
Galdi, Giovanni P.
1994
A note on the existence and uniqueness of solutions of the micropolar fluid equations. Zbl 0351.76006
Galdi, Giovanni P.; Rionero, Salvatore
1977
On the motion of a rigid body in a viscous liquid:a mathematical analysis with applications. Zbl 1230.76016
Galdi, Giovanni P.
2002
An introduction to the Navier-Stokes initial-boundary value problem. Zbl 1108.35133
Galdi, Giovanni P.
2000
Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031
Berselli, Luigi C.; Galdi, Giovanni P.
2002
A new approach to energy theory in the stability of fluid motion. Zbl 0719.76035
1990
Existence, uniqueness and $$L^ q$$-estimates for the Stokes problem in an exterior domain. Zbl 0722.35065
Galdi, Giovanni P.; Simader, Christian G.
1990
Exchange of stabilities, symmetry, and nonlinear stability. Zbl 0622.76061
Galdi, Giovanni P.; Straughan, Brian
1985
Bandelli, R.; Rajagopal, K. R.; Galdi, G. P.
1995
A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in $$W^{-1/q,q}$$. Zbl 1064.35133
Galdi, G. P.; Simader, C. G.; Sohr, H.
2005
A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2006
Approximation of the larger eddies in fluid motions. II: A model for space-filtered flow. Zbl 1077.76522
Galdi, Giovanni P.; Layton, William J.
2000
Steady flow of a Navier-Stokes fluid around a rotating obstacle. Zbl 1156.76367
Galdi, Giovanni P.
2003
On the Stokes problem in Lipschitz domains. Zbl 0824.35098
Galdi, G. P.; Simader, C. G.; Sohr, H.
1994
Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0617.35108
Galdi, Giovanni P.; Maremonti, Paolo
1986
On the steady self-propelled motion of a body in a viscous incompressible fluid. Zbl 0957.76012
Galdi, Giovanni P.
1999
Weighted energy methods in fluid dynamics and elasticity. Zbl 0585.76001
Galdi, Giovanni P.; Rionero, Salvatore
1985
A nonlinear analysis of the stabilizing effect of rotation in the Bénard problem. Zbl 0593.76049
Galdi, G. P.; Straughan, B.
1985
Strong solutions to the Navier-Stokes equations around a rotating obstacle. Zbl 1081.35076
Galdi, Giovanni P.; Silvestre, Ana L.
2005
The steady motion of a Navier-Stokes liquid around a rigid body. Zbl 1111.76010
Galdi, Giovanni P.; Silvestre, Ana L.
2007
Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body. Zbl 1056.76021
Galdi, Giovanni P.; Sohr, Hermann
2004
Nonlinear stability of the magnetic Bénard problem via a generalized energy method. Zbl 0611.76069
Galdi, Giovanni P.
1985
The weight function approach to uniqueness of viscous flows in unbounded domains. Zbl 0423.76027
Rionero, Salvatore; Galdi, Giovanni P.
1979
Further existence results for classical solutions of the equations of a second-grade fluid. Zbl 0833.76005
1994
Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of $$\mathbb R^2$$. Zbl 1119.35045
Farwig, R.; Galdi, G. P.; Sohr, H.
2006
Existence of time-periodic solutions to the Navier-Stokes equations around a moving body. Zbl 1109.76016
Galdi, Giovanni P.; Silvestre, Ana L.
2006
Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids. Zbl 0804.76003
Galdi, Giovanni P.; Grobbelaar-van Dalsen, Marié; Sauer, Niko
1993
Fluid-structure interaction and biomedical applications. Zbl 1300.76003
Bodnár, Tomáš (ed.); Galdi, Giovanni P. (ed.); Nečasová, Šárka (ed.)
2014
On the unsteady Poiseuille flow in a pipe. Zbl 1133.35105
Galdi, G. P.; Pileckas, K.; Silvestre, A. L.
2007
On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest. Zbl 0898.35071
Galdi, G. P.; Heywood, J. G.; Shibata, Y.
1997
Stationary Navier-Stokes problem in a two-dimensional exterior domain. Zbl 1075.35039
Galdi, Giovanni P.
2004
Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable. Zbl 1229.35176
2011
Convection in thawing subsea permafrost. Zbl 0645.76055
Galdi, G. P.; Payne, L. E.; Proctor, M. R. E.; Straughan, B.
1987
Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar ‘Hemodynamical flows: Aspects of modeling, analysis and simulation’, Oberwolfach, Germany, November 20–26, 2005. Zbl 1137.76005
Galdi, Giovanni P. (ed.); Rannacher, Rolf (ed.); Robertson, Anne M. (ed.); Turek, Stefan (ed.)
2008
Strong solutions to the problem of motion of a rigid body in a Navier-Stokes liquid under the action of prescribed forces and torques. Zbl 1046.35084
Galdi, Giovanni P.; Silvestre, Ana L.
2002
Asymptotic structure of a Leray solution to the Navier-Stokes flow around a rotating body. Zbl 1234.35035
Farwig, Reinhard; Galdi, Giovanni P.; Kyed, Mads
2011
On the uniqueness of viscous fluid motions. Zbl 0351.35070
Rionero, Salvatore; Galdi, Giovanni P.
1976
Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2005
Mathematical theory of second-grade fluids. Zbl 0828.76006
Galdi, G. P.
1995
Existence, uniqueness and stability of regular steady motions of a second-grade fluid. Zbl 0815.76006
Coscia, Vincenzo; Galdi, Giovanni P.
1994
Further results on steady-state flow of a Navier-Stokes liquid around a rigid body. Existence of the wake. Zbl 1119.76011
Galdi, Giovanni P.; Silvestre, Ana L.
2007
The relation between flow rate and axial pressure gradient for time-periodic Poiseuille flow in a pipe. Zbl 1070.35021
Galdi, G. P.; Robertson, A. M.
2005
A uniqueness theorem for viscous fluid motions in exterior domains. Zbl 0612.76028
Galdi, Giovanni P.; Maremonti, Paolo
1986
Inertial motions of a rigid body with a cavity filled with a viscous liquid. Zbl 1342.35245
Disser, Karoline; Galdi, Giovanni P.; Mazzone, Giusy; Zunino, Paolo
2016
A simple proof of $$L^q$$-estimates for the steady-state Oseen and Stokes equations in a rotating frame. I: strong solutions. Zbl 1261.35106
2013
On the conditional stability of the rest state of a fluid of second grade in unbounded domains. Zbl 0697.76018
Galdi, G. P.; Padula, M.; Rajagopal, K. R.
1990
On the asymptotic structure of $$D$$-solutions to steady Navier-Stokes equations in exterior domains. Zbl 0794.35111
Galdi, Giovanni P.
1992
Translational steady fall of symmetric bodies in a Navier-Stokes liquid, with application to particle sedimentation. Zbl 0993.35074
Galdi, Giovanni P.; Vaidya, Ashwin
2001
A uniqueness theorem for hydrodynamic flows in unbounded domains. Zbl 0346.76018
Galdi, Giovanni P.; Rionero, Salvatore
1976
Further properties of steady-state solutions to the Navier-Stokes problem past a three-dimensional obstacle. Zbl 1144.81345
Galdi, Giovanni P.
2007
On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains. Zbl 0840.35076
Galdi, Giovanni P.; Sohr, Hermann
1995
Existence and uniqueness of time-periodic solutions to the Navier-Stokes equations in the whole plane. Zbl 1260.35110
Galdi, Giovanni P.
2013
On the motion of a rigid body in a Navier-Stokes liquid under the action of a time-periodic force. Zbl 1192.35130
Galdi, Giovanni P.; Silvestre, Ana L.
2009
Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: asymptotic profile at spatial infinity. Zbl 1404.35323
2018
Mathematical problems in classical non-Newtonian fluid mechanics. Zbl 1154.76065
Galdi, Giovanni P.
2007
New estimates for the steady-state Stokes problem in exterior domains with applications to the Navier-Stokes problem. Zbl 0823.35142
Galdi, Giovanni P.; Simader, Christian G.
1994
On time-periodic flow of a viscous liquid past a moving cylinder. Zbl 1294.35063
Galdi, Giovanni P.
2013
On the Navier-Stokes problem in exterior domains with non decaying initial data. Zbl 1256.35056
Galdi, Giovanni P.; Maremonti, Paolo; Zhou, Yong
2012
Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012
Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J.
2002
On the asymptotic behavior of physically reasonable solutions to the stationary Navier-Stokes system in three-dimensional exterior domains with zero velocity at infinity. Zbl 0973.76022
Deuring, Paul; Galdi, Giovanni P.
2000
Existence, uniqueness and asymptotic behaviour of solutions of steady-state Navier-Stokes equations in a plane aperture domain. Zbl 0990.35116
Galdi, G. P.; Padula, M.; Solonnikov, V. A.
1996
Mathematical questions relating to the plane steady motion of a Navier-Stokes fluid past a body. Zbl 0911.35085
Galdi, Giovanni P.
1998
On magnetohydrodynamic motions in unbounded domains: Stability and uniqueness. Zbl 0374.76041
Galdi, Giovanni P.; Rionero, Salvatore
1978
Orientation of symmetric bodies falling in a second-order liquid at nonzero Reynolds number. Zbl 1041.76006
Galdi, Giovanni P.; Vaidya, Ashwin; Pokorný, Milan; Joseph, Daniel D.; Feng, Jimmy
2002
Local estimates and stability of viscous flows in an exterior domain. Zbl 0544.76028
Galdi, G. P.; Rionero, S.
1983
Continuous dependence theorems in linear elasticity on exterior domains. Zbl 0404.73007
Galdi, Giovanni P.; Rionero, Salvatore
1979
Variational methods for stability of fluid motions in unbounded domains. Zbl 0413.76038
Galdi, Giovanni P.
1978
A simple proof of $$L^q$$-estimates for the steady-state Oseen and Stokes equations in a rotating frame. II: Weak solutions. Zbl 1260.35111
2013
Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems. Zbl 0608.73008
Galdi, G. P.; Knops, R. J.; Rionero, S.
1986
Asymptotic behavior of a Leray solution around a rotating obstacle. Zbl 1247.35168
2011
Direct simulation of the motion of a settling ellipsoid in Newtonian fluid. Zbl 1058.76050
Pan, Tsorng-Whay; Glowinski, Roland; Galdi, Giovanni P.
2002
Continuous data dependence in linear elastodynamics on unbounded domains without definiteness conditions on the elasticities. Zbl 0511.73034
Galdi, Giovanni P.; Rionero, Salvatore
1983
Slow motion of a body in a viscous incompressible fluid with application to particle sedimentation. Zbl 0930.76021
Galdi, Giovanni P.
1998
On the well-posedness of the equilibrium problem for linear elasticity in unbounded regions. Zbl 0448.73014
Galdi, Giovanni P.; Rionero, Salvatore
1980
Casi di non validità di una riformulazione del metodo dell’energia. Zbl 0327.76015
Galdi, Giovanni P.
1975
Sulla stabilita incondizionata asintotica in media dei moti stazionari idrodinamici e magnetoidrodinamici in domini limitati o meno. Zbl 0355.76030
Galdi, Giovanni P.
1975
Fundamental trends in fluid-structure interaction. Zbl 1410.76010
Galdi, Giovanni P. (ed.); Rannacher, Rolf (ed.)
2010
Steady flow of a Navier-Stokes liquid past an elastic body. Zbl 1291.76079
2009
Existence and regularity of steady flows for shear-thinning liquids in exterior two-dimensional domains. Zbl 1229.76026
Galdi, Giovanni P.; Grisanti, Carlo R.
2011
On the existence of steady motions of a viscous flow with non-homogeneous boundary conditions. Zbl 0780.76018
Galdi, Giovanni P.
1991
On the Oseen boundary-value problem in exterior domains. Zbl 0783.35047
Galdi, Giovanni P.
1992
Stability of solutions of the Navier-Stokes equations backward in time. Zbl 0658.76028
Galdi, G. P.; Straughan, B.
1988
Well-posedness of the problem of fiber suspension flows. Zbl 0951.76090
Galdi, Giovanni P.; Reddy, B. Daya
1999
On the steady, translational self-propelled motion of a symmetric body in a Navier-Stokes fluid. Zbl 0974.76020
Galdi, Giovanni P.
1997
On bifurcating time-periodic flow of a Navier-Stokes liquid past a cylinder. Zbl 1352.35096
Galdi, Giovanni P.
2016
On the energy equality for distributional solutions to Navier-Stokes equations. Zbl 1407.76025
Galdi, Giovanni P.
2019
Time-periodic flow of a viscous liquid past a body. Zbl 1408.35121
2018
On the best conditions on the gradient of pressure for uniqueness of viscous flows in the whole space. Zbl 0512.76033
Galdi, Giovanni P.; Rionero, Salvatore
1983
On the uniqueness of Leray-Hopf solutions for the flow through an aperture. Zbl 0781.35050
Borchers, Wolfgang; Galdi, Giovanni P.; Pileckas, Konstantin
1993
Slow motion of a body in a fluid of second grade. Zbl 0908.76007
Galdi, Giovanni P.; Rajagopal, K. R.
1997
Continuous dependence theorems for Navier-Stokes equations in unbounded domains by the weight-function method. Zbl 0416.76018
Galdi, Giovanni P.; Rionero, Salvatore
1979
Existence and uniqueness at low Reynolds number of stationary plane flow of a viscous fluid in exterior domains. Zbl 0824.35097
Galdi, Giovanni P.
1993
Sharp existence results for the stationary Navier-Stokes problem in three-dimensional exterior domains. Zbl 0965.35111
Galdi, Giovanni P.; Rabier, Patrick J.
2000
On the two-dimensional steady-state problem of a viscous gas in an exterior domain. Zbl 0894.76070
Galdi, G. P.; Novotný, A.; Padula, M.
1997
Steady motions of a second-grade fluid in an exterior domain. Zbl 0894.76002
Galdi, Giovanni P.; Sequeira, Adélia; Videman, Juha
1997
On the asymptotic properties of Leray’s solutions to the exterior steady three-dimensional Navier-Stokes equations with zero velocity at infinity. Zbl 0806.35136
Galdi, Giovanni P.
1993
Functional properties of the Navier-Stokes operator and bifurcation of stationary solutions: Planar exterior domains. Zbl 0922.35122
Galdi, Giovanni P.; Rabier, Patrick
1999
Fluid flows around floating bodies. I: The hydrostatic case. Zbl 1288.76025
Bemelmans, Josef; Galdi, Giovanni P.; Kyed, Mads
2012
Viscous flow past a body translating by time-periodic motion with zero average. Zbl 1442.35336
Galdi, Giovanni P.
2020
Equilibrium configuration of a rectangular obstacle immersed in a channel flow. Zbl 1455.35168
Bonheure, Denis; Galdi, Giovanni P.; Gazzola, Filippo
2020
On the energy equality for distributional solutions to Navier-Stokes equations. Zbl 1407.76025
Galdi, Giovanni P.
2019
On the motion of a body with a cavity filled with compressible fluid. Zbl 1414.76041
Galdi, Giovanni Paolo; Mácha, Václav; Nečasová, Šárka
2019
On the relation between very weak and Leray-Hopf solutions to Navier-Stokes equations. Zbl 1423.35295
Galdi, Giovanni P.
2019
Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: asymptotic profile at spatial infinity. Zbl 1404.35323
2018
Time-periodic flow of a viscous liquid past a body. Zbl 1408.35121
2018
On the motion of a liquid-filled heavy body around a fixed point. Zbl 1386.35340
Galdi, Giovanni P.; Mazzone, Giusy; Mohebbi, Mahdi
2018
Strong time-periodic solutions to the 3D primitive equations subject to arbitrary large forces. Zbl 1377.35224
Galdi, Giovanni P.; Hieber, Matthias; Kashiwabara, Takahito
2017
Stability of permanent rotations and long-time behavior of inertial motions of a rigid body with an interior liquid-filled cavity. Zbl 1387.35488
Galdi, G. P.
2017
Particles in flows. Based on the summer course and workshop, Prague, Czech Republic, August 2014. Zbl 1381.35003
Bodnár, Tomáš; Galdi, Giovanni P.; Nečasová, Šárka
2017
Inertial motions of a rigid body with a cavity filled with a viscous liquid. Zbl 1342.35245
Disser, Karoline; Galdi, Giovanni P.; Mazzone, Giusy; Zunino, Paolo
2016
On bifurcating time-periodic flow of a Navier-Stokes liquid past a cylinder. Zbl 1352.35096
Galdi, Giovanni P.
2016
On the motion of a liquid-filled rigid body subject to a time-periodic torque. Zbl 1338.35362
Galdi, Giovanni P.; Mazzone, Giusy; Mohebbi, Mahdi
2016
On the motion of a pendulum with a cavity entirely filled with a viscous liquid. Zbl 1391.35326
Galdi, Giovanni P.; Mazzone, Giusy
2016
Stability of steady flow past a rotating body. Zbl 1374.35281
Galdi, Giovanni Paolo; Neustupa, Jiří
2016
Exponential decay of the vorticity in the steady-state flow of a viscous liquid past a rotating body. Zbl 1342.35244
Deuring, Paul; Galdi, Giovanni P.
2016
Womersley flow of generalized Newtonian liquid. Zbl 1360.76023
Galdi, Giovanni P.; Grisanti, Carlo R.
2016
On the plane steady-state flow of a shear-thinning liquid past an obstacle in the singular case. Zbl 1348.76015
Galdi, Giovanni P.; Grisanti, Carlo R.
2016
Homogeneous Calderón-Zygmund estimates for a class of second-order elliptic operators. Zbl 1318.47057
Galdi, G. P.; Metafune, G.; Spina, C.; Tacelli, C.
2015
Steady-state flow of a shear-thinning liquid in an unbounded pipeline system. Zbl 1330.35323
Galdi, Giovanni P.; Grisanti, Carlo R.
2015
Fluid-structure interaction and biomedical applications. Zbl 1300.76003
Bodnár, Tomáš; Galdi, Giovanni P.; Nečasová, Šárka
2014
Capillary surfaces and floating bodies. Zbl 1299.76030
Bemelmans, Josef; Galdi, Giovanni P.; Kyed, Mads
2014
On the Leray-Hopf extension condition for the steady-state Navier-Stokes problem in multiply-connected bounded domains. Zbl 1304.35488
Galdi, Giovanni P.
2014
A simple proof of $$L^q$$-estimates for the steady-state Oseen and Stokes equations in a rotating frame. I: strong solutions. Zbl 1261.35106
2013
Existence and uniqueness of time-periodic solutions to the Navier-Stokes equations in the whole plane. Zbl 1260.35110
Galdi, Giovanni P.
2013
On time-periodic flow of a viscous liquid past a moving cylinder. Zbl 1294.35063
Galdi, Giovanni P.
2013
A simple proof of $$L^q$$-estimates for the steady-state Oseen and Stokes equations in a rotating frame. II: Weak solutions. Zbl 1260.35111
2013
On the steady motion of a coupled system solid-liquid. Zbl 1296.35115
Bemelmans, Josef; Galdi, Giovanni P.; Kyed, Mads
2013
Steady-state Navier-Stokes problem past a rotating body: geometric-functional properties and related questions. Zbl 1301.35088
Galdi, Giovanni P.
2013
On the Navier-Stokes problem in exterior domains with non decaying initial data. Zbl 1256.35056
Galdi, Giovanni P.; Maremonti, Paolo; Zhou, Yong
2012
Fluid flows around floating bodies. I: The hydrostatic case. Zbl 1288.76025
Bemelmans, Josef; Galdi, Giovanni P.; Kyed, Mads
2012
An introduction to the mathematical theory of the Navier-Stokes equations. Steady-state problems. 2nd ed. Zbl 1245.35002
Galdi, Giovanni P.
2011
Steady-state Navier-Stokes flows past a rotating body: Leray solutions are physically reasonable. Zbl 1229.35176
2011
Asymptotic structure of a Leray solution to the Navier-Stokes flow around a rotating body. Zbl 1234.35035
Farwig, Reinhard; Galdi, Giovanni P.; Kyed, Mads
2011
Asymptotic behavior of a Leray solution around a rotating obstacle. Zbl 1247.35168
2011
Existence and regularity of steady flows for shear-thinning liquids in exterior two-dimensional domains. Zbl 1229.76026
Galdi, Giovanni P.; Grisanti, Carlo R.
2011
Fundamental trends in fluid-structure interaction. Zbl 1410.76010
Galdi, Giovanni P.; Rannacher, Rolf
2010
On the motion of a rigid body in a Navier-Stokes liquid under the action of a time-periodic force. Zbl 1192.35130
Galdi, Giovanni P.; Silvestre, Ana L.
2009
Steady flow of a Navier-Stokes liquid past an elastic body. Zbl 1291.76079
2009
A steady-state exterior Navier-Stokes problem that is not well-posed. Zbl 1156.76017
Galdi, Giovanni P.
2009
Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar ‘Hemodynamical flows: Aspects of modeling, analysis and simulation’, Oberwolfach, Germany, November 20–26, 2005. Zbl 1137.76005
Galdi, Giovanni P.; Rannacher, Rolf; Robertson, Anne M.; Turek, Stefan
2008
The steady motion of a Navier-Stokes liquid around a rigid body. Zbl 1111.76010
Galdi, Giovanni P.; Silvestre, Ana L.
2007
On the unsteady Poiseuille flow in a pipe. Zbl 1133.35105
Galdi, G. P.; Pileckas, K.; Silvestre, A. L.
2007
Further results on steady-state flow of a Navier-Stokes liquid around a rigid body. Existence of the wake. Zbl 1119.76011
Galdi, Giovanni P.; Silvestre, Ana L.
2007
Further properties of steady-state solutions to the Navier-Stokes problem past a three-dimensional obstacle. Zbl 1144.81345
Galdi, Giovanni P.
2007
Mathematical problems in classical non-Newtonian fluid mechanics. Zbl 1154.76065
Galdi, Giovanni P.
2007
Lift and sedimentation of particles in the flow of a viscoelastic liquid in a channel. Zbl 1403.76187
Galdi, Giovanni P.; Heuveline, Vincent
2007
A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data. Zbl 1104.35032
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2006
Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of $$\mathbb R^2$$. Zbl 1119.35045
Farwig, R.; Galdi, G. P.; Sohr, H.
2006
Existence of time-periodic solutions to the Navier-Stokes equations around a moving body. Zbl 1109.76016
Galdi, Giovanni P.; Silvestre, Ana L.
2006
Determining modes, nodes and volume elements for stationary solutions of the Navier-Stokes problem past a three-dimensional body. Zbl 1094.76017
Galdi, Giovanni P.
2006
A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in $$W^{-1/q,q}$$. Zbl 1064.35133
Galdi, G. P.; Simader, C. G.; Sohr, H.
2005
Strong solutions to the Navier-Stokes equations around a rotating obstacle. Zbl 1081.35076
Galdi, Giovanni P.; Silvestre, Ana L.
2005
Very weak solutions of stationary and instationary Navier-Stokes equations with nonhomogeneous data. Zbl 1246.35148
Farwig, Reinhard; Galdi, Giovanni P.; Sohr, Hermann
2005
The relation between flow rate and axial pressure gradient for time-periodic Poiseuille flow in a pipe. Zbl 1070.35021
Galdi, G. P.; Robertson, A. M.
2005
On flow of a Navier-Stokes fluid in curved pipes. I: Steady flow. Zbl 1125.35072
Galdi, G. P.; Robertson, A. M.
2005
Existence and unqiueness of time-periodic physically reasonable Navier-Stokes flow past a body. Zbl 1056.76021
Galdi, Giovanni P.; Sohr, Hermann
2004
Stationary Navier-Stokes problem in a two-dimensional exterior domain. Zbl 1075.35039
Galdi, Giovanni P.
2004
On the space-time regularity of $$C(0,T;L^n)$$-very weak solutions to the Navier-Stokes equations. Zbl 1126.35038
Berselli, Luigi C.; Galdi, Giovanni P.
2004
Contributions to current challenges in mathematical fluid mechanics. Zbl 1047.76001
Galdi, Giovanni P.; Heywood, John G.; Rannacher, Rolf
2004
Steady flow of a Navier-Stokes fluid around a rotating obstacle. Zbl 1156.76367
Galdi, Giovanni P.
2003
On the motion of a rigid body in a viscous liquid:a mathematical analysis with applications. Zbl 1230.76016
Galdi, Giovanni P.
2002
Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations. Zbl 1075.35031
Berselli, Luigi C.; Galdi, Giovanni P.
2002
Strong solutions to the problem of motion of a rigid body in a Navier-Stokes liquid under the action of prescribed forces and torques. Zbl 1046.35084
Galdi, Giovanni P.; Silvestre, Ana L.
2002
Mathematical analysis for the rational large eddy simulation model. Zbl 1023.76012
Berselli, Luigi C.; Galdi, Giovanni P.; Iliescu, Traian; Layton, William J.
2002
Orientation of symmetric bodies falling in a second-order liquid at nonzero Reynolds number. Zbl 1041.76006
Galdi, Giovanni P.; Vaidya, Ashwin; Pokorný, Milan; Joseph, Daniel D.; Feng, Jimmy
2002
Direct simulation of the motion of a settling ellipsoid in Newtonian fluid. Zbl 1058.76050
Pan, Tsorng-Whay; Glowinski, Roland; Galdi, Giovanni P.
2002
Translational steady fall of symmetric bodies in a Navier-Stokes liquid, with application to particle sedimentation. Zbl 0993.35074
Galdi, Giovanni P.; Vaidya, Ashwin
2001
Erratum to “Slow steady fall of rigid bodies in a second-order fluid”. Zbl 1060.76525
Galdi, Giovanni P.
2001
An introduction to the Navier-Stokes initial-boundary value problem. Zbl 1108.35133
Galdi, Giovanni P.
2000
Approximation of the larger eddies in fluid motions. II: A model for space-filtered flow. Zbl 1077.76522
Galdi, Giovanni P.; Layton, William J.
2000
On the asymptotic behavior of physically reasonable solutions to the stationary Navier-Stokes system in three-dimensional exterior domains with zero velocity at infinity. Zbl 0973.76022
Deuring, Paul; Galdi, Giovanni P.
2000
Sharp existence results for the stationary Navier-Stokes problem in three-dimensional exterior domains. Zbl 0965.35111
Galdi, Giovanni P.; Rabier, Patrick J.
2000
Slow steady fall of rigid bodies in a second-order fluid. Zbl 1056.76503
Galdi, Giovanni P.
2000
Fundamental directions in mathematical fluid mechanics. Zbl 0948.00020
Galdi, Giovanni P.; Heywood, John G.; Rannacher, Rolf
2000
Slow steady fall of rigid bodies in a second-order fluid. Zbl 0967.76005
Galdi, Giovanni P.
2000
On the steady self-propelled motion of a body in a viscous incompressible fluid. Zbl 0957.76012
Galdi, Giovanni P.
1999
Well-posedness of the problem of fiber suspension flows. Zbl 0951.76090
Galdi, Giovanni P.; Reddy, B. Daya
1999
Functional properties of the Navier-Stokes operator and bifurcation of stationary solutions: Planar exterior domains. Zbl 0922.35122
Galdi, Giovanni P.; Rabier, Patrick
1999
On the existence of symmetric steady-state solutions to the plane exterior Navier-Stokes problem for arbitrary large Reynolds number. Zbl 0948.35097
Galdi, Giovanni P.
1999
Mathematical questions relating to the plane steady motion of a Navier-Stokes fluid past a body. Zbl 0911.35085
Galdi, Giovanni P.
1998
Slow motion of a body in a viscous incompressible fluid with application to particle sedimentation. Zbl 0930.76021
Galdi, Giovanni P.
1998
On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest. Zbl 0898.35071
Galdi, G. P.; Heywood, J. G.; Shibata, Y.
1997
On the steady, translational self-propelled motion of a symmetric body in a Navier-Stokes fluid. Zbl 0974.76020
Galdi, Giovanni P.
1997
Slow motion of a body in a fluid of second grade. Zbl 0908.76007
Galdi, Giovanni P.; Rajagopal, K. R.
1997
On the two-dimensional steady-state problem of a viscous gas in an exterior domain. Zbl 0894.76070
Galdi, G. P.; Novotný, A.; Padula, M.
1997
Steady motions of a second-grade fluid in an exterior domain. Zbl 0894.76002
Galdi, Giovanni P.; Sequeira, Adélia; Videman, Juha
1997
Existence, uniqueness and asymptotic behaviour of solutions of steady-state Navier-Stokes equations in a plane aperture domain. Zbl 0990.35116
Galdi, G. P.; Padula, M.; Solonnikov, V. A.
1996
Bandelli, R.; Rajagopal, K. R.; Galdi, G. P.
1995
Mathematical theory of second-grade fluids. Zbl 0828.76006
Galdi, G. P.
1995
On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains. Zbl 0840.35076
Galdi, Giovanni P.; Sohr, Hermann
1995
Existence and uniqueness of solutions of the equations of motion for a fluid of second grade with non-homogeneous boundary conditions. Zbl 0865.76004
Galdi, Giovanni P.; Grobbelaar-Van Dalsen, Marié; Sauer, Niko
1995
Existence and asymptotic decay of plane-steady flow in an aperture domain. Zbl 0843.35081
Galdi, G. P.; Padula, M.; Passerini, A.
1995
Asymptotic in time decay of solutions to the equations of a second-grade fluid filling the whole space. Zbl 0848.35097
Galdi, Giovanni P.; Passerini, Arianna
1995
An introduction to the mathematical theory of the Navier-Stokes equations. Vol. I: Linearized steady problems. Zbl 0949.35004
Galdi, Giovanni P.
1994
An introduction to the mathematical theory of the Navier-Stokes equations. Vol. II: Nonlinear steady problems. Zbl 0949.35005
Galdi, Giovanni P.
1994
On the Stokes problem in Lipschitz domains. Zbl 0824.35098
Galdi, G. P.; Simader, C. G.; Sohr, H.
1994
Further existence results for classical solutions of the equations of a second-grade fluid. Zbl 0833.76005
1994
Existence, uniqueness and stability of regular steady motions of a second-grade fluid. Zbl 0815.76006
Coscia, Vincenzo; Galdi, Giovanni P.
1994
...and 49 more Documents
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#### Cited by 1,640 Authors

 66 Galdi, Giovanni Paolo 42 Nečasová, Šárka 40 Farwig, Reinhard 37 Maremonti, Paolo 32 Straughan, Brian 28 Feireisl, Eduard 28 Neustupa, Jiří 27 Pileckas, Konstantin 26 Berselli, Luigi Carlo 23 Russo, Remigio 23 Takahashi, Takéo 22 Amrouche, Chérif 21 Rionero, Salvatore 20 Sohr, Hermann 19 Deuring, Paul 19 Fetecau, Constantin 18 Kim, Hyunseok 18 Kozono, Hideo 18 Novotný, Antonín 17 Hieber, Matthias 16 Chae, Dongho 16 Dong, Boqing 16 Panasenko, Grigory P. 15 Kyed, Mads 15 Mulone, Giuseppe 15 Penel, Patrick 14 Amirat, Youcef Aït 14 Gala, Sadek 14 Hishida, Toshiaki 14 Jin, Bum Ja 14 Muha, Boris 14 Wolf, Jörg 13 Padula, Mariarosaria 12 Crispo, Francesca 12 Fan, Jishan 12 Hillairet, Matthieu 12 Jiang, Fei 12 Jiang, Song 12 Kagei, Yoshiyuki 12 Layton, William J. 11 Beirão da Veiga, Hugo 11 Fetecau, Corina 11 Fuchs, Martin 11 Hayat, Tasawar 11 Kračmar, Stanislav 11 Passerini, Arianna 11 Silvestre, Ana Leonor 10 Bae, Hyeong-Ohk 10 Choe, Hi Jun 10 Růžička, Michael 10 Stavre, Ruxandra 10 Titi, Edriss Saleh 10 Wittwer, Peter 10 Zhou, Yong 9 Gérard-Varet, David 9 Giga, Yoshikazu 9 Grisanti, Carlo-Romano 9 Hamdache, Kamel 9 John, Volker 9 Korobkov, Mikhail V. 9 Lacave, Christophe 9 Mucha, Piotr Bogusław 9 Nguyen Thieu Huy 9 Otárola, Enrique 9 Pokorný, Milan 9 Shibata, Yoshihiro 9 Yamazaki, Kazuo 8 Chen, Zhimin 8 Han, Pigong 8 Maekawa, Yasunori 8 Payne, Lawrence Edward 8 Pažanin, Igor 8 Rebholz, Leo G. 8 Robinson, James Cooper 8 Rojas-Medar, Marko Antonio 8 Saal, Jürgen 8 Schumacher, Katrin 8 Tan, Zhong 8 Tsai, Tai-Peng 7 Beneš, Michal 7 Breit, Dominic 7 Chueshov, Igor’ Dmitrievich 7 Geissert, Matthias 7 Kang, Kyungkeun 7 Li, Kaitai 7 Liu, Qiao 7 Mazzone, Giusy 7 Meslameni, Mohamed 7 Ragusa, Maria Alessandra 7 Rajagopal, Kumbakonam Ramamani 7 Ri, Myong-Hwan 7 Sequeira, Adélia 7 Shimizu, Senjo 7 Solonnikov, Vsevolod Alekseevich 7 Tartaglione, Alfonsina 7 Tucsnak, Marius 7 Vaidya, Ashwin 7 Varnhorn, Werner 7 Vieru, Dumitru 7 Wang, Dehua ...and 1,540 more Authors
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#### Cited in 248 Serials

 132 Journal of Mathematical Fluid Mechanics 124 Journal of Differential Equations 103 Journal of Mathematical Analysis and Applications 101 Archive for Rational Mechanics and Analysis 66 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Nonlinear Analysis. Real World Applications 44 Mathematical Methods in the Applied Sciences 35 ZAMP. Zeitschrift für angewandte Mathematik und Physik 35 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 31 Acta Applicandae Mathematicae 30 Applied Mathematics Letters 28 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 28 SIAM Journal on Mathematical Analysis 27 Communications in Mathematical Physics 26 Applied Mathematics and Computation 25 Discrete and Continuous Dynamical Systems 24 Journal of Mathematical Physics 23 International Journal of Engineering Science 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Applicable Analysis 22 Computers & Mathematics with Applications 21 Communications in Partial Differential Equations 21 Journal of Mathematical Sciences (New York) 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Journal of Evolution Equations 18 Communications on Pure and Applied Analysis 17 Journal of Computational and Applied Mathematics 17 Journal of Functional Analysis 17 Proceedings of the American Mathematical Society 16 Applied Mathematics and Optimization 16 Mathematische Annalen 16 Discrete and Continuous Dynamical Systems. Series B 15 Computer Methods in Applied Mechanics and Engineering 15 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Mathematische Zeitschrift 13 Quarterly of Applied Mathematics 12 Mathematische Nachrichten 12 Calculus of Variations and Partial Differential Equations 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Discrete and Continuous Dynamical Systems. Series S 11 Journal of the Mathematical Society of Japan 11 Physica D 11 Boundary Value Problems 11 Evolution Equations and Control Theory 10 Acta Mechanica 10 Mathematics of Computation 10 Meccanica 10 Numerische Mathematik 10 Rendiconti del Seminario Matematico della Università di Padova 10 Ricerche di Matematica 10 Applications of Mathematics 9 Manuscripta Mathematica 9 Numerical Functional Analysis and Optimization 9 SIAM Journal on Numerical Analysis 9 Zeitschrift für Analysis und ihre Anwendungen 9 Applied Numerical Mathematics 9 Journal of Scientific Computing 9 Continuum Mechanics and Thermodynamics 9 Abstract and Applied Analysis 9 Nonlinear Analysis. Theory, Methods & Applications 8 Journal of Computational Physics 8 Journal of Fluid Mechanics 8 Advances in Mathematics 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 NoDEA. Nonlinear Differential Equations and Applications 7 Computers and Fluids 7 Lithuanian Mathematical Journal 7 Nonlinearity 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of Elasticity 7 Journal of Nonlinear Science 7 Mathematical Problems in Engineering 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Czechoslovak Mathematical Journal 6 Numerical Methods for Partial Differential Equations 6 Mathematical and Computer Modelling 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal of Dynamics and Differential Equations 6 Communications in Nonlinear Science and Numerical Simulation 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Transactions of the American Mathematical Society 5 Applied Mathematical Modelling 5 SIAM Journal on Scientific Computing 5 Physics of Fluids 5 St. Petersburg Mathematical Journal 5 Acta Mathematica Sinica. English Series 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Science China. Mathematics 4 Communications on Pure and Applied Mathematics 4 Geophysical and Astrophysical Fluid Dynamics 4 Acta Mathematica 4 Archiv der Mathematik 4 SIAM Journal on Control and Optimization 4 Applied Mathematics and Mechanics. (English Edition) 4 Chinese Annals of Mathematics. Series B 4 SIAM Journal on Applied Mathematics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 4 Analysis and Applications (Singapore) ...and 148 more Serials
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#### Cited in 36 Fields

 1,656 Fluid mechanics (76-XX) 1,593 Partial differential equations (35-XX) 157 Mechanics of deformable solids (74-XX) 154 Numerical analysis (65-XX) 63 Classical thermodynamics, heat transfer (80-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 40 Functional analysis (46-XX) 33 Biology and other natural sciences (92-XX) 32 Systems theory; control (93-XX) 31 Operator theory (47-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Geophysics (86-XX) 27 Mechanics of particles and systems (70-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Optics, electromagnetic theory (78-XX) 17 Real functions (26-XX) 17 Probability theory and stochastic processes (60-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 13 Potential theory (31-XX) 13 Integral equations (45-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Ordinary differential equations (34-XX) 8 Functions of a complex variable (30-XX) 6 Astronomy and astrophysics (85-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 General topology (54-XX)