# zbMATH — the first resource for mathematics

## Neustupa, Jiří

Compute Distance To:
 Author ID: neustupa.jiri Published as: Neustupa, J.; Neustupa, Jiri; Neustupa, Jirí; Neustupa, Jiři; Neustupa, Jiří External Links: ResearchGate
 Documents Indexed: 92 Publications since 1976, including 3 Books
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#### Co-Authors

 33 single-authored 27 Penel, Patrick 7 Farwig, Reinhard 5 Kučera, Petr 5 Nečasová, Šárka 4 Bellout, Hamid 3 Feireisl, Eduard 3 Kračmar, Stanislav 3 Muzereau, Olivier 3 Siginer, Dennis A. 3 Stebel, Jan 2 Kozel, Karel 2 Kreml, Ondřej 2 Novotný, Antonín 2 Pokorný, Milan 1 Akyildiz, Fahir Talay 1 Al Baba, Hind 1 Bartak, Jaroslav 1 Černý, Jaroslav 1 Danchin, Raphaël 1 Deuring, Paul 1 Galdi, Giovanni Paolo 1 Jirásek, F. 1 Kučera, Milan 1 Nečas, Jindřich
all top 5

#### Serials

 10 Journal of Mathematical Fluid Mechanics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Czechoslovak Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Mathematical Methods in the Applied Sciences 3 Nonlinearity 3 Mathematische Nachrichten 3 Mathematica Bohemica 3 Pokroky Matematiky, Fyziky & Astronomie 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Differential Equations 2 Acta Applicandae Mathematicae 2 Applications of Mathematics 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 2 RIMS Kôkyûroku Bessatsu 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Aplikace Matematiky 1 Časopis Pro Pěstování Matematiky 1 Commentationes Mathematicae Universitatis Carolinae 1 Integral Equations and Operator Theory 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Rendiconti del Seminario Matematico della Università di Padova 1 Teoretichna i Prilozhna Mekhanika 1 Tohoku Mathematical Journal. Second Series 1 Far East Journal of Applied Mathematics 1 Analysis (München) 1 Nonlinear Analysis. Real World Applications 1 Contemporary Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Advances in Mathematical Physics 1 Advances in Mathematical Fluid Mechanics
all top 5

#### Fields

 84 Partial differential equations (35-XX) 75 Fluid mechanics (76-XX) 6 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

71 Publications have been cited 472 times in 272 Documents Cited by Year
An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073
Neustupa, Jirí; Novotný, Antonín; Penel, Patrick
2002
Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component. Zbl 0953.35113
Neustupa, Jiří; Penel, Patrick
1999
A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions. Zbl 1042.35605
Kračmar, S.; Neustupa, J.
2001
Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations. Zbl 1027.35094
Neustupa, Jiří; Penel, Patrick
2001
An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations. Zbl 0980.35129
Neustupa, Jiří; Pokorný, Milan
2000
On the spectrum of a Stokes-type operator arising from flow around a rotating body. Zbl 1126.35050
Farwig, Reinhard; Neustupa, Jiří
2007
Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component. Zbl 0981.35046
Neustupa, Jiří; Pokorný, Milan
2001
A weak solvability of the Navier-Stokes equation with Navier’s boundary condition around a ball striking the wall. Zbl 1374.35286
Neustupa, Jiří; Penel, Patrick
2010
Convergence of a Brinkman-type penalization for compressible fluid flows. Zbl 1206.35194
Feireisl, Eduard; Neustupa, Jiří; Stebel, Jan
2011
Existence of a weak solution to the Navier-Stokes equation in a general time-varying domain by the Rothe method. Zbl 1160.35494
Neustupa, Jiří
2009
Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains. Zbl 1256.35055
Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan
2013
On a $$\nu$$-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition. Zbl 1200.35209
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2010
On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2004
Measure-valued solutions of the Euler and Navier-Stokes equations for compressible barotropic fluids. Zbl 0805.76064
Neustupa, Jiří
1993
Modelling of flows of a viscous incompressible fluid through a channel by means of variational inequalities. Zbl 0836.35121
Kračmar, S.; Neustupa, J.
1994
A new approach to the existence of weak solutions of the steady Navier-Stokes system with inhomogeneous boundary data in domains with noncompact boundaries. Zbl 1229.35188
Neustupa, Jiří
2010
Spectral properties in $$L^q$$ of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324
Farwig, Reinhard; Neustupa, Jiří
2010
Partial regularity of weak solutions to the Navier-stokes equations in the class $$L^\infty(0,T;L^3(\Omega)^3)$$. Zbl 0949.35107
Neustupa, Jiří
1999
On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition. Zbl 1180.35405
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2009
Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. Zbl 1078.35088
Neustupa, Jiří; Penel, Patrick
2005
On the steady Navier-Stokes boundary value problem in an unbounded 2D domain with arbitrary fluxes through the components of the boundary. Zbl 1205.35205
Neustupa, Jiří
2009
A Navier-Stokes approximation of the 3D Euler equation with the zero flux on the boundary. Zbl 1189.35217
Bellout, Hamid; Neustupa, Jiří
2008
On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382
Farwig, Reinhard; Neustupa, Jiří
2008
Modeling of the unsteady flow through a channel with an artificial outflow condition by the Navier-Stokes variational inequality. Zbl 1401.35239
Kračmar, Stanislav; Neustupa, Jiří
2018
A weak solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337
Neustupa, Jiří; Penel, Patrick
2016
The Navier-Stokes equations with Navier’s boundary condition around moving bodies in presence of collisions. Zbl 1172.35057
Neustupa, Jiří; Penel, Patrick
2009
On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions. Zbl 1119.35057
Neustupa, Jiří; Penel, Patrick
2007
Destabilizing effect of unilaternal conditions in reaction-diffusion systems. Zbl 0597.35006
Kučera, Milan; Neustupa, Jiří
1986
Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity. Zbl 1248.35149
Neustupa, Jiří; Penel, Patrick
2012
Local in time strong solvability of the non-steady Navier-Stokes equations with Navier’s boundary condition and the question of the inviscid limit. Zbl 1205.35206
Neustupa, Jiří; Penel, Patrick
2010
An eigenvalue criterion for stability of a steady Navier-Stokes flow in $${\mathbb{R}}^3$$. Zbl 1195.76147
Deuring, Paul; Neustupa, Jiří
2010
Stability of a steady viscous incompressible flow past an obstacle. Zbl 1162.76330
Neustupa, Jiří
2009
New conditions for local regularity of a suitable weak solution to the Navier-Stokes equation. Zbl 1010.35081
Nečas, Jindřich; Neustupa, Jiří
2002
A note on local interior regularity of a suitable weak solution to the Navier-Stokes problem. Zbl 1260.35125
Neustupa, Jiří
2013
Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257
Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří
2011
On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions. Zbl 1406.35236
Neustupa, Jiří; Penel, Patrick
2018
Regularity of a weak solution to the Navier-Stokes equations via one component of a spectral projection of vorticity. Zbl 1300.35078
Neustupa, Jiří; Penel, Patrick
2014
Incompressible limits of fluids excited by moving boundaries. Zbl 1300.35072
Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan
2014
On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the $$L^q$$-framework. Zbl 1119.35046
Farwig, Reinhard; Neǎsová, Šárka; Neustupa, Jiří
2007
The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure. Zbl 1099.35087
Neustupa, Jiří
2003
The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations. Zbl 1040.35075
Neustupa, Jiří; Penel, Patrick
2003
Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid. Zbl 0668.76074
Neustupa, Jiři
1988
The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation. Zbl 0346.35012
Neustupa, Jiří
1976
On robustness of a strong solution to the Navier-Stokes equations with Navier’s boundary conditions in the $$L^3$$-norm. Zbl 1367.35109
Kučera, Petr; Neustupa, Jiří
2017
A spectral criterion for stability of a steady viscous incompressible flow past an obstacle. Zbl 1334.35208
Neustupa, Jiří
2016
Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181
Neustupa, Jiří; Penel, Patrick
2013
A removable singularity in a suitable weak solution to the Navier-Stokes equations. Zbl 1245.35085
Neustupa, Jiří
2012
On $$L^ 2$$-boundedness of a $$C_ 0$$-semigroup generated by the perturbed Oseen-type operator arising from flow around a rotating body. Zbl 1163.35455
Neustupa, Jiri
2007
On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions. Zbl 1062.35072
Neustupa, Jiří; Penel, Patrick
2005
A contribution to the theory of stability of differential equations in Banach space. Zbl 0441.34044
Neustupa, Jiří
1979
A contribution to the theory of regularity of a weak solution to the Navier-Stokes equations via one component of velocity and other related quantities. Zbl 1401.35243
Neustupa, Jiří
2018
The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions. Zbl 1390.35236
Neustupa, Jiří; Al Baba, Hind
2018
Stability of steady flow past a rotating body. Zbl 1374.35281
Galdi, Giovanni Paolo; Neustupa, Jiří
2016
Existence and structure of steady solutions of the Bénard problem in a two dimensional quadrangular cavity. Zbl 1321.35169
Neustupa, Jiří; Siginer, Dennis
2015
The steady Navier-Stokes problem with the inhomogeneous Navier-type boundary conditions in a 2D multiply-connected bounded domain. Zbl 1321.35139
Neustupa, Jiří
2015
A geometric improvement of the velocity-pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1349.35276
Neustupa, Jiří
2014
A refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1304.35502
Neustupa, Jiří
2014
On $$L^3$$-stability of strong solutions of the Navier-Stokes equations with the Navier-type boundary conditions. Zbl 1306.35086
Kučera, Petr; Neustupa, Jiří
2013
A weak solvability to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1209.35100
Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick
2011
A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1206.35198
Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick
2010
On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics. Zbl 1239.76021
Kučera, Petr; Neustupa, Jiří
2009
The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069
Neustupa, Jiří; Penel, Patrick
2008
Navier-Stokes equation with the generalized impermeability boundary conditions and initial data in domains of powers of the Stokes operator. Zbl 1127.35038
Kučera, Petr; Neustupa, Jiří; Penel, Patrick
2007
Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor. Zbl 1101.35353
Neustupa, Jiří; Penel, Patrick
2005
Stability of a steady solution of a semilinear parabolic system in an exterior domain. Zbl 1071.35021
Neustupa, Jirí
2004
Mathematical fluid mechanics. Recent results and open questions. Zbl 0971.00052
Neustupa, Jiří (ed.); Penel, Patrick (ed.)
2001
Stabilizing influence of a skew-symmetric operator in semilinear parabolic equation. Zbl 0936.47027
Neustupa, Jiří
1999
Stability of solutions of parabolic equations by a combination of the semigroup theory and the energy method. Zbl 0847.35018
Neustupa, Jiří
1995
Uniform stability at permanently acting disturbances of solutions of Navier-Stokes equations for compressible isothermic fluids. Zbl 0815.35087
Neustupa, Jiří
1994
A principle of linearization and the uniform asymptotic stability of solutions of the Navier-Stokes equations for compressible isothermic fluids. Zbl 0798.35128
Neustupa, Jiří
1994
The global existence of solutions to the equations of motion of a viscous gas with an artificial viscosity. Zbl 0724.76073
Neustupa, Jiří
1991
Modeling of the unsteady flow through a channel with an artificial outflow condition by the Navier-Stokes variational inequality. Zbl 1401.35239
Kračmar, Stanislav; Neustupa, Jiří
2018
On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions. Zbl 1406.35236
Neustupa, Jiří; Penel, Patrick
2018
A contribution to the theory of regularity of a weak solution to the Navier-Stokes equations via one component of velocity and other related quantities. Zbl 1401.35243
Neustupa, Jiří
2018
The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions. Zbl 1390.35236
Neustupa, Jiří; Al Baba, Hind
2018
On robustness of a strong solution to the Navier-Stokes equations with Navier’s boundary conditions in the $$L^3$$-norm. Zbl 1367.35109
Kučera, Petr; Neustupa, Jiří
2017
A weak solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337
Neustupa, Jiří; Penel, Patrick
2016
A spectral criterion for stability of a steady viscous incompressible flow past an obstacle. Zbl 1334.35208
Neustupa, Jiří
2016
Stability of steady flow past a rotating body. Zbl 1374.35281
Galdi, Giovanni Paolo; Neustupa, Jiří
2016
Existence and structure of steady solutions of the Bénard problem in a two dimensional quadrangular cavity. Zbl 1321.35169
Neustupa, Jiří; Siginer, Dennis
2015
The steady Navier-Stokes problem with the inhomogeneous Navier-type boundary conditions in a 2D multiply-connected bounded domain. Zbl 1321.35139
Neustupa, Jiří
2015
Regularity of a weak solution to the Navier-Stokes equations via one component of a spectral projection of vorticity. Zbl 1300.35078
Neustupa, Jiří; Penel, Patrick
2014
Incompressible limits of fluids excited by moving boundaries. Zbl 1300.35072
Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan
2014
A geometric improvement of the velocity-pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1349.35276
Neustupa, Jiří
2014
A refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1304.35502
Neustupa, Jiří
2014
Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains. Zbl 1256.35055
Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan
2013
A note on local interior regularity of a suitable weak solution to the Navier-Stokes problem. Zbl 1260.35125
Neustupa, Jiří
2013
Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181
Neustupa, Jiří; Penel, Patrick
2013
On $$L^3$$-stability of strong solutions of the Navier-Stokes equations with the Navier-type boundary conditions. Zbl 1306.35086
Kučera, Petr; Neustupa, Jiří
2013
Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity. Zbl 1248.35149
Neustupa, Jiří; Penel, Patrick
2012
A removable singularity in a suitable weak solution to the Navier-Stokes equations. Zbl 1245.35085
Neustupa, Jiří
2012
Convergence of a Brinkman-type penalization for compressible fluid flows. Zbl 1206.35194
Feireisl, Eduard; Neustupa, Jiří; Stebel, Jan
2011
Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257
Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří
2011
A weak solvability to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1209.35100
Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick
2011
A weak solvability of the Navier-Stokes equation with Navier’s boundary condition around a ball striking the wall. Zbl 1374.35286
Neustupa, Jiří; Penel, Patrick
2010
On a $$\nu$$-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition. Zbl 1200.35209
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2010
A new approach to the existence of weak solutions of the steady Navier-Stokes system with inhomogeneous boundary data in domains with noncompact boundaries. Zbl 1229.35188
Neustupa, Jiří
2010
Spectral properties in $$L^q$$ of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324
Farwig, Reinhard; Neustupa, Jiří
2010
Local in time strong solvability of the non-steady Navier-Stokes equations with Navier’s boundary condition and the question of the inviscid limit. Zbl 1205.35206
Neustupa, Jiří; Penel, Patrick
2010
An eigenvalue criterion for stability of a steady Navier-Stokes flow in $${\mathbb{R}}^3$$. Zbl 1195.76147
Deuring, Paul; Neustupa, Jiří
2010
A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1206.35198
Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick
2010
Existence of a weak solution to the Navier-Stokes equation in a general time-varying domain by the Rothe method. Zbl 1160.35494
Neustupa, Jiří
2009
On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition. Zbl 1180.35405
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2009
On the steady Navier-Stokes boundary value problem in an unbounded 2D domain with arbitrary fluxes through the components of the boundary. Zbl 1205.35205
Neustupa, Jiří
2009
The Navier-Stokes equations with Navier’s boundary condition around moving bodies in presence of collisions. Zbl 1172.35057
Neustupa, Jiří; Penel, Patrick
2009
Stability of a steady viscous incompressible flow past an obstacle. Zbl 1162.76330
Neustupa, Jiří
2009
On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics. Zbl 1239.76021
Kučera, Petr; Neustupa, Jiří
2009
A Navier-Stokes approximation of the 3D Euler equation with the zero flux on the boundary. Zbl 1189.35217
Bellout, Hamid; Neustupa, Jiří
2008
On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382
Farwig, Reinhard; Neustupa, Jiří
2008
The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069
Neustupa, Jiří; Penel, Patrick
2008
On the spectrum of a Stokes-type operator arising from flow around a rotating body. Zbl 1126.35050
Farwig, Reinhard; Neustupa, Jiří
2007
On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions. Zbl 1119.35057
Neustupa, Jiří; Penel, Patrick
2007
On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the $$L^q$$-framework. Zbl 1119.35046
Farwig, Reinhard; Neǎsová, Šárka; Neustupa, Jiří
2007
On $$L^ 2$$-boundedness of a $$C_ 0$$-semigroup generated by the perturbed Oseen-type operator arising from flow around a rotating body. Zbl 1163.35455
Neustupa, Jiri
2007
Navier-Stokes equation with the generalized impermeability boundary conditions and initial data in domains of powers of the Stokes operator. Zbl 1127.35038
Kučera, Petr; Neustupa, Jiří; Penel, Patrick
2007
Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. Zbl 1078.35088
Neustupa, Jiří; Penel, Patrick
2005
On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions. Zbl 1062.35072
Neustupa, Jiří; Penel, Patrick
2005
Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor. Zbl 1101.35353
Neustupa, Jiří; Penel, Patrick
2005
On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2004
Stability of a steady solution of a semilinear parabolic system in an exterior domain. Zbl 1071.35021
Neustupa, Jirí
2004
The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure. Zbl 1099.35087
Neustupa, Jiří
2003
The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations. Zbl 1040.35075
Neustupa, Jiří; Penel, Patrick
2003
An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073
Neustupa, Jirí; Novotný, Antonín; Penel, Patrick
2002
New conditions for local regularity of a suitable weak solution to the Navier-Stokes equation. Zbl 1010.35081
Nečas, Jindřich; Neustupa, Jiří
2002
A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions. Zbl 1042.35605
Kračmar, S.; Neustupa, J.
2001
Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations. Zbl 1027.35094
Neustupa, Jiří; Penel, Patrick
2001
Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component. Zbl 0981.35046
Neustupa, Jiří; Pokorný, Milan
2001
Mathematical fluid mechanics. Recent results and open questions. Zbl 0971.00052
Neustupa, Jiří (ed.); Penel, Patrick (ed.)
2001
An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations. Zbl 0980.35129
Neustupa, Jiří; Pokorný, Milan
2000
Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component. Zbl 0953.35113
Neustupa, Jiří; Penel, Patrick
1999
Partial regularity of weak solutions to the Navier-stokes equations in the class $$L^\infty(0,T;L^3(\Omega)^3)$$. Zbl 0949.35107
Neustupa, Jiří
1999
Stabilizing influence of a skew-symmetric operator in semilinear parabolic equation. Zbl 0936.47027
Neustupa, Jiří
1999
Stability of solutions of parabolic equations by a combination of the semigroup theory and the energy method. Zbl 0847.35018
Neustupa, Jiří
1995
Modelling of flows of a viscous incompressible fluid through a channel by means of variational inequalities. Zbl 0836.35121
Kračmar, S.; Neustupa, J.
1994
Uniform stability at permanently acting disturbances of solutions of Navier-Stokes equations for compressible isothermic fluids. Zbl 0815.35087
Neustupa, Jiří
1994
A principle of linearization and the uniform asymptotic stability of solutions of the Navier-Stokes equations for compressible isothermic fluids. Zbl 0798.35128
Neustupa, Jiří
1994
Measure-valued solutions of the Euler and Navier-Stokes equations for compressible barotropic fluids. Zbl 0805.76064
Neustupa, Jiří
1993
The global existence of solutions to the equations of motion of a viscous gas with an artificial viscosity. Zbl 0724.76073
Neustupa, Jiří
1991
Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid. Zbl 0668.76074
Neustupa, Jiři
1988
Destabilizing effect of unilaternal conditions in reaction-diffusion systems. Zbl 0597.35006
Kučera, Milan; Neustupa, Jiří
1986
A contribution to the theory of stability of differential equations in Banach space. Zbl 0441.34044
Neustupa, Jiří
1979
The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation. Zbl 0346.35012
Neustupa, Jiří
1976
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#### Cited by 262 Authors

 32 Neustupa, Jiří 21 Zhang, Zujin 19 Nečasová, Šárka 15 Penel, Patrick 11 Deuring, Paul 11 Skalák, Zdeněk 10 Kučera, Petr 9 Beneš, Michal 7 Feireisl, Eduard 6 Bae, Hyeong-Ohk 6 Chemetov, Nikolai V. 6 Farwig, Reinhard 6 Hishida, Toshiaki 6 Li, Kaitai 6 Novotný, Antonín 6 Wolf, Jörg 5 Kračmar, Stanislav 5 Muha, Boris 5 Pileckas, Konstantin 4 An, Rong 4 Choe, Hi Jun 4 Fang, Daoyuan 4 Galdi, Giovanni Paolo 4 Guo, Zhengguang 4 Kaulakytė, Kristina 4 Kreml, Ondřej 4 Kučera, Milan 4 Lei, Zhen 4 Stebel, Jan 4 Trivisa, Konstantina 4 Xiao, Yuelong 4 Xin, Zhouping 4 Yang, Minsuk 4 Yao, Zhengan 4 Zajączkowski, Wojciech M. 3 Abalakin, Ilya V. 3 Al Baba, Hind 3 Barker, Tobias 3 Čanić, Sunčica 3 Drábek, Pavel 3 Gwiazda, Piotr 3 Kozubskaya, Tatiana K. 3 Kukavica, Igor 3 Lee, Jihoon 3 Lu, Ming 3 Mácha, Václav 3 Neustupa, Tomáš 3 Pan, Xinghong 3 Pokorný, Milan 3 Seregin, Gregory A. 3 Świerczewska-Gwiazda, Agnieszka 3 Wiedemann, Emil 3 Zhang, Qi-Shuhuason 3 Zhang, Ting 3 Zhang, Zhifei 3 Zhdanova, Natalia S. 3 Ziane, Mohammed 2 Albritton, Dallas 2 Amrouche, Chérif 2 Beirão da Veiga, Hugo 2 Ceretani, Andrea N. 2 Chae, Dongho 2 Chen, Gui-Qiang G. 2 Chen, Hui 2 Cipriano, Fernanda 2 Doboszczak, Stefan 2 Donatelli, Donatella 2 Dong, Boqing 2 Feistauer, Miloslav 2 Galaktionov, Victor Aleksandrovich 2 Gazzola, Filippo 2 Gie, Gung-Min 2 Glimm, James G. 2 Guo, Congchong 2 Han, Pigong 2 Kang, Kyungkeun 2 Kelliher, James P. 2 Kim, Jaemyoung 2 Korobkov, Mikhail V. 2 Kubica, Adam 2 Li, Peng 2 Li, Yuan 2 Maekawa, Yasunori 2 Miller, Evan 2 Muzereau, Olivier 2 Pineau, Benjamin 2 Qian, Chenyin 2 Rautenberg, Carlos N. 2 Rencławowicz, Joanna 2 Rusin, Walter M. 2 Russo, Remigio 2 Siginer, Dennis A. 2 Sperone, Gianmarco 2 Tang, Tong 2 Wang, Yanqing 2 Wróblewska-Kamińska, Aneta 2 Wu, Gang 2 Yu, Xinwei 2 Zhong, Dingxing 2 Zhou, Yong ...and 162 more Authors
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#### Cited in 83 Serials

 26 Journal of Mathematical Fluid Mechanics 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Differential Equations 16 Journal of Mathematical Analysis and Applications 11 Archive for Rational Mechanics and Analysis 9 Acta Applicandae Mathematicae 9 Applied Mathematics Letters 9 Applications of Mathematics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Nonlinear Analysis. Real World Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Mathematische Annalen 5 Journal of Mathematical Physics 5 Czechoslovak Mathematical Journal 5 Discrete and Continuous Dynamical Systems 4 Computers & Mathematics with Applications 4 Mathematical Methods in the Applied Sciences 4 Nonlinearity 4 Applied Mathematics and Computation 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Journal of the Mathematical Society of Japan 3 Mathematische Nachrichten 3 SIAM Journal on Mathematical Analysis 3 Calculus of Variations and Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Communications on Pure and Applied Analysis 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annales Polonici Mathematici 2 Archiv der Mathematik 2 Rendiconti del Seminario Matematico della Università di Padova 2 Chinese Annals of Mathematics. Series B 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Topological Methods in Nonlinear Analysis 2 Journal of Evolution Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Theoretical and Computational Fluid Dynamics 1 Aplikace Matematiky 1 Applied Mathematics and Optimization 1 Demonstratio Mathematica 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 Nonlinear Analysis. Modelling and Control 1 Matematicheskoe Modelirovanie 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Advances in Mathematical Physics 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 ISRN Applied Mathematics 1 Communications in Mathematics and Statistics 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces 1 Mathematics in Engineering 1 Electronic Research Archive
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#### Cited in 18 Fields

 260 Partial differential equations (35-XX) 235 Fluid mechanics (76-XX) 12 Numerical analysis (65-XX) 12 Mechanics of deformable solids (74-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Ordinary differential equations (34-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Geophysics (86-XX)