## Neustupa, Jiří

Compute Distance To:
 Author ID: neustupa.jiri Published as: Neustupa, Jiří; Neustupa, J.; Neustupa, Jirí; Neustupa, Jiri; Neustupa, Jiři more...less External Links: ResearchGate
 Documents Indexed: 96 Publications since 1976 4 Contributions as Editor · 1 Further Contribution Co-Authors: 26 Co-Authors with 67 Joint Publications 555 Co-Co-Authors
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### Co-Authors

 34 single-authored 28 Penel, Patrick 8 Farwig, Reinhard 6 Nečasová, Šárka 5 Kučera, Petr 5 Yang, Minsuk 4 Bellout, Hamid 3 Feireisl, Eduard 3 Kozel, Karel 3 Kračmar, Stanislav 3 Muzereau, Olivier 3 Siginer, Dennis A. 3 Stebel, Jan 2 Danchin, Raphaël 2 Galdi, Giovanni Paolo 2 Kreml, Ondřej 2 Novotný, Antonín 2 Pokorný, Milan 1 Akyildiz, Fahir Talay 1 Al Baba, Hind 1 Bartak, Jaroslav 1 Böttcher, Albrecht 1 Černý, Jaroslav 1 Choe, Hi Jun 1 Deuring, Paul 1 dos Santos, António Ferreira 1 Feistauer, Miloslav 1 Gohberg, Israel 1 Hurd, Robert Allan 1 Jirásek, F. 1 Jones, Douglas Samuel 1 Kaashoek, Marinus Adriaan 1 Kučera, Milan 1 Latz, Norbert 1 Leis, Rolf 1 Maz’ya, Vladimir Gilelevich 1 Meister, Claudia-Veronika 1 Meister, Ljudmila 1 Meister, Olaf 1 Nazarov, SergueíA. 1 Nečas, Jindřich 1 Pack, Donald Cecil 1 Roch, Steffen 1 Silbermann, Bernd 1 Speck, Frank-Olme 1 Teixeira, Francisco S. 1 von Wolfersdorf, Lothar 1 Wendland, Wolfgang L.
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### Serials

 12 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 Journal of Mathematical Analysis and Applications 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 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 Nonlinear Analysis. Real World Applications 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 Mathematische Annalen 1 Rendiconti del Seminario Matematico della Università di Padova 1 Teoretichna i Prilozhna Mekhanika 1 Tôhoku Mathematical Journal. Second Series 1 Applied Mathematics Letters 1 Far East Journal of Applied Mathematics 1 Analysis (München) 1 Contemporary Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Advances in Mathematical Physics 1 Journal of Elliptic and Parabolic Equations 1 Advances in Mathematical Fluid Mechanics
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### Fields

 92 Partial differential equations (35-XX) 82 Fluid mechanics (76-XX) 7 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 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 Open

77 Publications have been cited 648 times in 360 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
Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component. Zbl 0981.35046
Neustupa, Jiří; Pokorný, Milan
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
Convergence of a Brinkman-type penalization for compressible fluid flows. Zbl 1206.35194
Feireisl, Eduard; Neustupa, Jiří; Stebel, Jan
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
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
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
Measure-valued solutions of the Euler and Navier-Stokes equations for compressible barotropic fluids. Zbl 0805.76064
Neustupa, Jiří
1993
Spectral properties in $$L^q$$ of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324
Farwig, Reinhard; Neustupa, Jiří
2010
Modelling of flows of a viscous incompressible fluid through a channel by means of variational inequalities. Zbl 0836.35121
Kračmar, S.; Neustupa, J.
1994
On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073
Bellout, Hamid; Neustupa, Jiří; Penel, Patrick
2004
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 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 spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382
Farwig, Reinhard; Neustupa, Jiří
2008
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 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
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
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
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 Navier-Stokes approximation of the 3D Euler equation with the zero flux on the boundary. Zbl 1189.35217
Bellout, Hamid; Neustupa, Jiří
2008
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
An eigenvalue criterion for stability of a steady Navier-Stokes flow in $${\mathbb{R}}^3$$. Zbl 1195.76147
Deuring, Paul; Neustupa, Jiří
2010
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 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
Local in time strong solvability of the non-steady Navier-Stokes equations with Navier’s boundary condition and the question of the inviscid limit. (Solutions fortes vérifiant des conditions aux limites de Navier pour les équations de Navier-Stokes non stationnaires, et la question de leur limite inviscide.) Zbl 1205.35206
Neustupa, Jiří; Penel, Patrick
2010
Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257
Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří
2011
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 solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337
Neustupa, Jiří; Penel, Patrick
2016
Destabilizing effect of unilaternal conditions in reaction-diffusion systems. Zbl 0597.35006
Kučera, Milan; Neustupa, Jiří
1986
A spectral criterion for stability of a steady viscous incompressible flow past an obstacle. Zbl 1334.35208
Neustupa, Jiří
2016
Incompressible limits of fluids excited by moving boundaries. Zbl 1300.35072
Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan
2014
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
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 note on local interior regularity of a suitable weak solution to the Navier-Stokes problem. Zbl 1260.35125
Neustupa, Jiří
2013
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 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
Stability of steady flow past a rotating body. Zbl 1374.35281
Galdi, Giovanni Paolo; Neustupa, Jiří
2016
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
Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid. Zbl 0668.76074
Neustupa, Jiři
1988
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 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 the role of pressure in the theory of MHD equations. Zbl 1465.76112
Neustupa, Jiří; Yang, Minsuk
2021
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 contribution to the theory of stability of differential equations in Banach space. Zbl 0441.34044
Neustupa, Jiří
1979
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 refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1304.35502
Neustupa, Jiří
2014
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
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
Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181
Neustupa, Jiří; Penel, Patrick
2013
A pressure associated with a weak solution to the Navier-Stokes equations with Navier’s boundary conditions. Zbl 1444.76041
Neustupa, Jiří; Nečasová, Šárka; Kučera, Petr
2020
Existence and structure of steady solutions of the Bénard problem in a two dimensional quadrangular cavity. Zbl 1321.35169
Neustupa, Jiří; Siginer, Dennis
2015
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
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
Stabilizing influence of a skew-symmetric operator in semilinear parabolic equation. Zbl 0936.47027
Neustupa, Jiří
1999
A semigroup generated by the linearized Navier-Stokes equations for compressible fluid and its uniform growth bound in Hölder spaces. Zbl 0954.35130
Neustupa, Jiří
1998
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
Uniform stability at permanently acting disturbances of solutions of Navier-Stokes equations for compressible isothermic fluids. Zbl 0815.35087
Neustupa, Jiří
1994
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
Mathematical fluid mechanics. Recent results and open questions. Zbl 0971.00052
2001
Mathematical analysis in fluid mechanics: selected recent results. International conference on vorticity, rotation and symmetry (IV) – complex fluids and the issue of regularity, CIRM, Luminy, Marseille, France, May 8–12, 2017. Proceedings. Zbl 1396.35001
2018
The global existence of solutions to the equations of motion of a viscous gas with an artificial viscosity. Zbl 0724.76073
Neustupa, Jiří
1991
Stability of solutions of parabolic equations by a combination of the semigroup theory and the energy method. Zbl 0847.35018
Neustupa, Jiří
1995
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
Stability of a steady solution of a semilinear parabolic system in an exterior domain. Zbl 1071.35021
Neustupa, Jirí
2004
The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069
Neustupa, Jiří; Penel, Patrick
2008
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
New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure. Zbl 1479.35691
Neustupa, Jiří; Yang, Minsuk
2021
A new sufficient condition for local regularity of a suitable weak solution to the MHD equations. Zbl 1470.35287
Neustupa, Jiří; Yang, Minsuk
2021
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
On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics. Zbl 1239.76021
Kučera, Petr; Neustupa, Jiří
2009
On the role of pressure in the theory of MHD equations. Zbl 1465.76112
Neustupa, Jiří; Yang, Minsuk
2021
New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure. Zbl 1479.35691
Neustupa, Jiří; Yang, Minsuk
2021
A new sufficient condition for local regularity of a suitable weak solution to the MHD equations. Zbl 1470.35287
Neustupa, Jiří; Yang, Minsuk
2021
A pressure associated with a weak solution to the Navier-Stokes equations with Navier’s boundary conditions. Zbl 1444.76041
Neustupa, Jiří; Nečasová, Šárka; Kučera, Petr
2020
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
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 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
Mathematical analysis in fluid mechanics: selected recent results. International conference on vorticity, rotation and symmetry (IV) – complex fluids and the issue of regularity, CIRM, Luminy, Marseille, France, May 8–12, 2017. Proceedings. Zbl 1396.35001
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
Incompressible limits of fluids excited by moving boundaries. Zbl 1300.35072
Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan
2014
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
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
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
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
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
Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181
Neustupa, Jiří; Penel, Patrick
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
Spectral properties in $$L^q$$ of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324
Farwig, Reinhard; Neustupa, Jiří
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
An eigenvalue criterion for stability of a steady Navier-Stokes flow in $${\mathbb{R}}^3$$. Zbl 1195.76147
Deuring, Paul; 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. (Solutions fortes vérifiant des conditions aux limites de Navier pour les équations de Navier-Stokes non stationnaires, et la question de leur limite inviscide.) Zbl 1205.35206
Neustupa, Jiří; Penel, Patrick
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
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 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
On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics. Zbl 1239.76021
Kučera, Petr; Neustupa, Jiří
2009
On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382
Farwig, Reinhard; Neustupa, Jiří
2008
A Navier-Stokes approximation of the 3D Euler equation with the zero flux on the boundary. Zbl 1189.35217
Bellout, Hamid; 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 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
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
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
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
A semigroup generated by the linearized Navier-Stokes equations for compressible fluid and its uniform growth bound in Hölder spaces. Zbl 0954.35130
Neustupa, Jiří
1998
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
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
Uniform stability at permanently acting disturbances of solutions of Navier-Stokes equations for compressible isothermic fluids. Zbl 0815.35087
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 332 Authors

 39 Neustupa, Jiří 27 Nečasová, Šárka 26 Zhang, Zujin 16 Penel, Patrick 13 Deuring, Paul 12 Skalák, Zdeněk 11 Beneš, Michal 11 Kučera, Petr 9 Farwig, Reinhard 9 Yang, Minsuk 8 Wu, Fan 7 Chemetov, Nikolai V. 7 Feireisl, Eduard 7 Hishida, Toshiaki 7 Kreml, Ondřej 7 Muha, Boris 6 Bae, Hyeong-Ohk 6 Guo, Zhengguang 6 Li, Kaitai 6 Novotný, Antonín 6 Wolf, Jörg 5 Choe, Hi Jun 5 Galdi, Giovanni Paolo 5 Kaulakytė, Kristina 5 Kračmar, Stanislav 5 Mácha, Václav 5 Pileckas, Konstantin 5 Seregin, Gregory A. 5 Xiao, Yuelong 5 Xin, Zhouping 5 Zhang, Qi-Shuhuason 4 An, Rong 4 Čanić, Sunčica 4 Fang, Daoyuan 4 Kučera, Milan 4 Kukavica, Igor 4 Lei, Zhen 4 Neustupa, Tomáš 4 Pan, Xinghong 4 Pokorný, Milan 4 Stebel, Jan 4 Trivisa, Konstantina 4 Wang, Yanqing 4 Wiedemann, Emil 4 Yao, Zhengan 4 Zajączkowski, Wojciech M. 3 Abalakin, Ilya V. 3 Al Baba, Hind 3 Amrouche, Chérif 3 Barker, Tobias 3 Doboszczak, Stefan 3 Drábek, Pavel 3 Gwiazda, Piotr 3 Kang, Kyungkeun 3 Kim, Jaemyoung 3 Kozono, Hideo 3 Kozubskaya, Tatiana K. 3 Lee, Jihoon 3 Lu, Ming 3 Miller, Evan 3 Sperone, Gianmarco 3 Świerczewska-Gwiazda, Agnieszka 3 Tang, Tong 3 Wróblewska-Kamińska, Aneta 3 Wu, Gang 3 Zhang, Ting 3 Zhang, Zhifei 3 Zhdanova, Natalia S. 3 Ziane, Mohammed 2 Albritton, Dallas 2 Beirão da Veiga, Hugo 2 Bulíček, Miroslav 2 Caggio, Matteo 2 Ceretani, Andrea N. 2 Chae, Dongho 2 Chen, Gui-Qiang G. 2 Chen, Hui 2 Cipriano, Fernanda 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 Huang, Bingkang 2 Jang, Yunsoo 2 Kelliher, James P. 2 Korobkov, Mikhail V. 2 Kubica, Adam 2 Li, Peng 2 Li, Yuan 2 Maekawa, Yasunori 2 Mazzucato, Anna L. 2 Muzereau, Olivier 2 Ożański, Wojciech Sławomir 2 Pažanin, Igor 2 Piasecki, Tomasz ...and 232 more Authors
all top 5

### Cited in 103 Serials

 38 Journal of Mathematical Fluid Mechanics 21 Journal of Differential Equations 20 Journal of Mathematical Analysis and Applications 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Archive for Rational Mechanics and Analysis 13 Nonlinear Analysis. Real World Applications 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Acta Applicandae Mathematicae 11 Applied Mathematics Letters 10 Applications of Mathematics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Mathematische Annalen 7 Journal of Mathematical Physics 7 Journal of Evolution Equations 5 Computers & Mathematics with Applications 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Czechoslovak Mathematical Journal 5 SIAM Journal on Mathematical Analysis 5 Discrete and Continuous Dynamical Systems 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Computation 4 Communications in Partial Differential Equations 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Communications on Pure and Applied Analysis 3 Nonlinearity 3 Annales Polonici Mathematici 3 Journal of the Mathematical Society of Japan 3 Mathematische Nachrichten 3 NoDEA. Nonlinear Differential Equations and Applications 3 Evolution Equations and Control Theory 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Journal of Computational Physics 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 Rendiconti del Seminario Matematico della Università di Padova 2 Chinese Annals of Mathematics. Series B 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Topological Methods in Nonlinear Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Elliptic and Parabolic Equations 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Lithuanian Mathematical Journal 1 Theoretical and Computational Fluid Dynamics 1 Aplikace Matematiky 1 Demonstratio Mathematica 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Tôhoku 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 Mathematica Bohemica 1 The Journal of Geometric Analysis 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 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 Mathematical Modelling and Analysis 1 Matematicheskoe Modelirovanie 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Analysis in Theory and Applications 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 Mathematical Modelling of Natural Phenomena 1 Banach Journal of Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 ISRN Applied Mathematics 1 Communications in Mathematics and Statistics 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces 1 Proceedings of the American Mathematical Society. Series B 1 AIMS Mathematics 1 Mathematics in Engineering ...and 3 more Serials
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### Cited in 21 Fields

 344 Partial differential equations (35-XX) 316 Fluid mechanics (76-XX) 19 Mechanics of deformable solids (74-XX) 16 Numerical analysis (65-XX) 9 Functional analysis (46-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 6 Operator theory (47-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)