Edit Profile (opens in new tab) Neustupa, Jiří Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1050.35073Neustupa, Jirí; Novotný, Antonín; Penel, Patrick 53 2002 Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component. Zbl 0953.35113Neustupa, Jiří; Penel, Patrick 42 1999 A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions. Zbl 1042.35605Kračmar, S.; Neustupa, J. 34 2001 Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations. Zbl 1027.35094Neustupa, Jiří; Penel, Patrick 33 2001 Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component. Zbl 0981.35046Neustupa, Jiří; Pokorný, Milan 27 2001 An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations. Zbl 0980.35129Neustupa, Jiří; Pokorný, Milan 26 2000 On the spectrum of a Stokes-type operator arising from flow around a rotating body. Zbl 1126.35050Farwig, Reinhard; Neustupa, Jiří 25 2007 Convergence of a Brinkman-type penalization for compressible fluid flows. Zbl 1206.35194Feireisl, Eduard; Neustupa, Jiří; Stebel, Jan 20 2011 A weak solvability of the Navier-Stokes equation with Navier’s boundary condition around a ball striking the wall. Zbl 1374.35286Neustupa, Jiří; Penel, Patrick 20 2010 Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. Zbl 1078.35088Neustupa, Jiří; Penel, Patrick 19 2005 Existence of a weak solution to the Navier-Stokes equation in a general time-varying domain by the Rothe method. Zbl 1160.35494Neustupa, Jiří 18 2009 Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains. Zbl 1256.35055Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan 17 2013 Measure-valued solutions of the Euler and Navier-Stokes equations for compressible barotropic fluids. Zbl 0805.76064Neustupa, Jiří 16 1993 Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324Farwig, Reinhard; Neustupa, Jiří 13 2010 Modelling of flows of a viscous incompressible fluid through a channel by means of variational inequalities. Zbl 0836.35121Kračmar, S.; Neustupa, J. 13 1994 On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 13 2004 Partial regularity of weak solutions to the Navier-stokes equations in the class \(L^\infty(0,T;L^3(\Omega)^3)\). Zbl 0949.35107Neustupa, Jiří 12 1999 On a \(\nu\)-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition. Zbl 1200.35209Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 12 2010 On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382Farwig, Reinhard; Neustupa, Jiří 12 2008 On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions. Zbl 1119.35057Neustupa, Jiří; Penel, Patrick 11 2007 On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions. Zbl 1406.35236Neustupa, Jiří; Penel, Patrick 11 2018 The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations. Zbl 1040.35075Neustupa, Jiří; Penel, Patrick 11 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 1229.35188Neustupa, Jiří 11 2010 Modeling of the unsteady flow through a channel with an artificial outflow condition by the Navier-Stokes variational inequality. Zbl 1401.35239Kračmar, Stanislav; Neustupa, Jiří 9 2018 A Navier-Stokes approximation of the 3D Euler equation with the zero flux on the boundary. Zbl 1189.35217Bellout, Hamid; Neustupa, Jiří 9 2008 On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition. Zbl 1180.35405Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 9 2009 An eigenvalue criterion for stability of a steady Navier-Stokes flow in \({\mathbb{R}}^3\). Zbl 1195.76147Deuring, Paul; Neustupa, Jiří 8 2010 The Navier-Stokes equations with Navier’s boundary condition around moving bodies in presence of collisions. Zbl 1172.35057Neustupa, Jiří; Penel, Patrick 8 2009 Stability of a steady viscous incompressible flow past an obstacle. Zbl 1162.76330Neustupa, Jiří 8 2009 On the steady Navier-Stokes boundary value problem in an unbounded 2D domain with arbitrary fluxes through the components of the boundary. Zbl 1205.35205Neustupa, Jiří 8 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 1205.35206Neustupa, Jiří; Penel, Patrick 7 2010 Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří 7 2011 New conditions for local regularity of a suitable weak solution to the Navier-Stokes equation. Zbl 1010.35081Nečas, Jindřich; Neustupa, Jiří 7 2002 A weak solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337Neustupa, Jiří; Penel, Patrick 6 2016 Destabilizing effect of unilaternal conditions in reaction-diffusion systems. Zbl 0597.35006Kučera, Milan; Neustupa, Jiří 6 1986 A spectral criterion for stability of a steady viscous incompressible flow past an obstacle. Zbl 1334.35208Neustupa, Jiří 5 2016 Incompressible limits of fluids excited by moving boundaries. Zbl 1300.35072Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan 5 2014 Regularity of a weak solution to the Navier-Stokes equations via one component of a spectral projection of vorticity. Zbl 1300.35078Neustupa, Jiří; Penel, Patrick 5 2014 Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity. Zbl 1248.35149Neustupa, Jiří; Penel, Patrick 5 2012 A note on local interior regularity of a suitable weak solution to the Navier-Stokes problem. Zbl 1260.35125Neustupa, Jiří 4 2013 On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the \(L^q\)-framework. Zbl 1119.35046Farwig, Reinhard; Neǎsová, Šárka; Neustupa, Jiří 3 2007 On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions. Zbl 1062.35072Neustupa, Jiří; Penel, Patrick 3 2005 Stability of steady flow past a rotating body. Zbl 1374.35281Galdi, Giovanni Paolo; Neustupa, Jiří 3 2016 The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure. Zbl 1099.35087Neustupa, Jiří 3 2003 Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid. Zbl 0668.76074Neustupa, Jiři 3 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 1401.35243Neustupa, Jiří 3 2018 The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation. Zbl 0346.35012Neustupa, Jiří 3 1976 On the role of pressure in the theory of MHD equations. Zbl 1465.76112Neustupa, Jiří; Yang, Minsuk 3 2021 On \(L^3\)-stability of strong solutions of the Navier-Stokes equations with the Navier-type boundary conditions. Zbl 1306.35086Kučera, Petr; Neustupa, Jiří 2 2013 A contribution to the theory of stability of differential equations in Banach space. Zbl 0441.34044Neustupa, Jiří 2 1979 On robustness of a strong solution to the Navier-Stokes equations with Navier’s boundary conditions in the \(L^3\)-norm. Zbl 1367.35109Kučera, Petr; Neustupa, Jiří 2 2017 A refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1304.35502Neustupa, Jiří 2 2014 The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions. Zbl 1390.35236Neustupa, Jiří; Al Baba, Hind 2 2018 A removable singularity in a suitable weak solution to the Navier-Stokes equations. Zbl 1245.35085Neustupa, Jiří 2 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 1163.35455Neustupa, Jiri 2 2007 Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181Neustupa, Jiří; Penel, Patrick 2 2013 A pressure associated with a weak solution to the Navier-Stokes equations with Navier’s boundary conditions. Zbl 1444.76041Neustupa, Jiří; Nečasová, Šárka; Kučera, Petr 2 2020 Existence and structure of steady solutions of the Bénard problem in a two dimensional quadrangular cavity. Zbl 1321.35169Neustupa, Jiří; Siginer, Dennis 2 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 1101.35353Neustupa, Jiří; Penel, Patrick 1 2005 Navier-Stokes equation with the generalized impermeability boundary conditions and initial data in domains of powers of the Stokes operator. Zbl 1127.35038Kučera, Petr; Neustupa, Jiří; Penel, Patrick 1 2007 Stabilizing influence of a skew-symmetric operator in semilinear parabolic equation. Zbl 0936.47027Neustupa, Jiří 1 1999 A semigroup generated by the linearized Navier-Stokes equations for compressible fluid and its uniform growth bound in Hölder spaces. Zbl 0954.35130Neustupa, Jiří 1 1998 A principle of linearization and the uniform asymptotic stability of solutions of the Navier-Stokes equations for compressible isothermic fluids. Zbl 0798.35128Neustupa, Jiří 1 1994 Uniform stability at permanently acting disturbances of solutions of Navier-Stokes equations for compressible isothermic fluids. Zbl 0815.35087Neustupa, Jiří 1 1994 A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1206.35198Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick 1 2010 Mathematical fluid mechanics. Recent results and open questions. Zbl 0971.00052 1 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 1 2018 The global existence of solutions to the equations of motion of a viscous gas with an artificial viscosity. Zbl 0724.76073Neustupa, Jiří 1 1991 Stability of solutions of parabolic equations by a combination of the semigroup theory and the energy method. Zbl 0847.35018Neustupa, Jiří 1 1995 A weak solvability to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1209.35100Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick 1 2011 Stability of a steady solution of a semilinear parabolic system in an exterior domain. Zbl 1071.35021Neustupa, Jirí 1 2004 The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069Neustupa, Jiří; Penel, Patrick 1 2008 A geometric improvement of the velocity-pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1349.35276Neustupa, Jiří 1 2014 New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure. Zbl 1479.35691Neustupa, Jiří; Yang, Minsuk 1 2021 A new sufficient condition for local regularity of a suitable weak solution to the MHD equations. Zbl 1470.35287Neustupa, Jiří; Yang, Minsuk 1 2021 The steady Navier-Stokes problem with the inhomogeneous Navier-type boundary conditions in a 2D multiply-connected bounded domain. Zbl 1321.35139Neustupa, Jiří 1 2015 On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics. Zbl 1239.76021Kučera, Petr; Neustupa, Jiří 1 2009 On the role of pressure in the theory of MHD equations. Zbl 1465.76112Neustupa, Jiří; Yang, Minsuk 3 2021 New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure. Zbl 1479.35691Neustupa, Jiří; Yang, Minsuk 1 2021 A new sufficient condition for local regularity of a suitable weak solution to the MHD equations. Zbl 1470.35287Neustupa, Jiří; Yang, Minsuk 1 2021 A pressure associated with a weak solution to the Navier-Stokes equations with Navier’s boundary conditions. Zbl 1444.76041Neustupa, Jiří; Nečasová, Šárka; Kučera, Petr 2 2020 On regularity of a weak solution to the Navier-Stokes equations with the generalized Navier slip boundary conditions. Zbl 1406.35236Neustupa, Jiří; Penel, Patrick 11 2018 Modeling of the unsteady flow through a channel with an artificial outflow condition by the Navier-Stokes variational inequality. Zbl 1401.35239Kračmar, Stanislav; Neustupa, Jiří 9 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 1401.35243Neustupa, Jiří 3 2018 The interior regularity of pressure associated with a weak solution to the Navier-Stokes equations with the Navier-type boundary conditions. Zbl 1390.35236Neustupa, Jiří; Al Baba, Hind 2 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 1 2018 On robustness of a strong solution to the Navier-Stokes equations with Navier’s boundary conditions in the \(L^3\)-norm. Zbl 1367.35109Kučera, Petr; Neustupa, Jiří 2 2017 A weak solution to the Navier-Stokes system with Navier’s boundary condition in a time-varying domain. Zbl 1338.35337Neustupa, Jiří; Penel, Patrick 6 2016 A spectral criterion for stability of a steady viscous incompressible flow past an obstacle. Zbl 1334.35208Neustupa, Jiří 5 2016 Stability of steady flow past a rotating body. Zbl 1374.35281Galdi, Giovanni Paolo; Neustupa, Jiří 3 2016 Existence and structure of steady solutions of the Bénard problem in a two dimensional quadrangular cavity. Zbl 1321.35169Neustupa, Jiří; Siginer, Dennis 2 2015 The steady Navier-Stokes problem with the inhomogeneous Navier-type boundary conditions in a 2D multiply-connected bounded domain. Zbl 1321.35139Neustupa, Jiří 1 2015 Incompressible limits of fluids excited by moving boundaries. Zbl 1300.35072Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan 5 2014 Regularity of a weak solution to the Navier-Stokes equations via one component of a spectral projection of vorticity. Zbl 1300.35078Neustupa, Jiří; Penel, Patrick 5 2014 A refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1304.35502Neustupa, Jiří 2 2014 A geometric improvement of the velocity-pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations. Zbl 1349.35276Neustupa, Jiří 1 2014 Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains. Zbl 1256.35055Feireisl, Eduard; Kreml, Ondřej; Nečasová, Šárka; Neustupa, Jiří; Stebel, Jan 17 2013 A note on local interior regularity of a suitable weak solution to the Navier-Stokes problem. Zbl 1260.35125Neustupa, Jiří 4 2013 On \(L^3\)-stability of strong solutions of the Navier-Stokes equations with the Navier-type boundary conditions. Zbl 1306.35086Kučera, Petr; Neustupa, Jiří 2 2013 Approximation of a solution to the Euler equation by solutions of the Navier-Stokes equation. Zbl 1278.35181Neustupa, Jiří; Penel, Patrick 2 2013 Regularity criteria for weak solutions to the Navier-Stokes equations based on spectral projections of vorticity. Zbl 1248.35149Neustupa, Jiří; Penel, Patrick 5 2012 A removable singularity in a suitable weak solution to the Navier-Stokes equations. Zbl 1245.35085Neustupa, Jiří 2 2012 Convergence of a Brinkman-type penalization for compressible fluid flows. Zbl 1206.35194Feireisl, Eduard; Neustupa, Jiří; Stebel, Jan 20 2011 Spectral analysis of a Stokes-type operator arising from flow around a rotating body. Zbl 1223.35257Farwig, Reinhard; Nečasová, Šárka; Neustupa, Jiří 7 2011 A weak solvability to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1209.35100Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick 1 2011 A weak solvability of the Navier-Stokes equation with Navier’s boundary condition around a ball striking the wall. Zbl 1374.35286Neustupa, Jiří; Penel, Patrick 20 2010 Spectral properties in \(L^q\) of an Oseen operator modelling fluid flow past a rotating body. Zbl 1194.35324Farwig, Reinhard; Neustupa, Jiří 13 2010 On a \(\nu\)-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-type boundary condition. Zbl 1200.35209Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 12 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 1229.35188Neustupa, Jiří 11 2010 An eigenvalue criterion for stability of a steady Navier-Stokes flow in \({\mathbb{R}}^3\). Zbl 1195.76147Deuring, Paul; Neustupa, Jiří 8 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 1205.35206Neustupa, Jiří; Penel, Patrick 7 2010 A partially strong solution to the steady Navier-Stokes equations for compressible barotropic fluid with generalized impermeability boundary conditions. Zbl 1206.35198Muzereau, Olivier; Neustupa, Jiří; Penel, Patrick 1 2010 Existence of a weak solution to the Navier-Stokes equation in a general time-varying domain by the Rothe method. Zbl 1160.35494Neustupa, Jiří 18 2009 On viscosity-continuous solutions of the Euler and Navier-Stokes equations with a Navier-type boundary condition. Zbl 1180.35405Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 9 2009 The Navier-Stokes equations with Navier’s boundary condition around moving bodies in presence of collisions. Zbl 1172.35057Neustupa, Jiří; Penel, Patrick 8 2009 Stability of a steady viscous incompressible flow past an obstacle. Zbl 1162.76330Neustupa, Jiří 8 2009 On the steady Navier-Stokes boundary value problem in an unbounded 2D domain with arbitrary fluxes through the components of the boundary. Zbl 1205.35205Neustupa, Jiří 8 2009 On perturbations of solutions to the Navier-Stokes equations with large initial data and their dynamics. Zbl 1239.76021Kučera, Petr; Neustupa, Jiří 1 2009 On the spectrum of an Oseen-type operator arising from flow past a rotating body. Zbl 1180.35382Farwig, Reinhard; Neustupa, Jiří 12 2008 A Navier-Stokes approximation of the 3D Euler equation with the zero flux on the boundary. Zbl 1189.35217Bellout, Hamid; Neustupa, Jiří 9 2008 The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity. Zbl 1154.35069Neustupa, Jiří; Penel, Patrick 1 2008 On the spectrum of a Stokes-type operator arising from flow around a rotating body. Zbl 1126.35050Farwig, Reinhard; Neustupa, Jiří 25 2007 On regularity of a weak solution to the Navier-Stokes equation with generalized impermeability boundary conditions. Zbl 1119.35057Neustupa, Jiří; Penel, Patrick 11 2007 On the essential spectrum of a Stokes-type operator arising from flow around a rotating body in the \(L^q\)-framework. Zbl 1119.35046Farwig, Reinhard; Neǎsová, Šárka; Neustupa, Jiří 3 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 1163.35455Neustupa, Jiri 2 2007 Navier-Stokes equation with the generalized impermeability boundary conditions and initial data in domains of powers of the Stokes operator. Zbl 1127.35038Kučera, Petr; Neustupa, Jiří; Penel, Patrick 1 2007 Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. Zbl 1078.35088Neustupa, Jiří; Penel, Patrick 19 2005 On the regularity up to the boundary in the theory of the Navier-Stokes equations with generalized impermeability conditions. Zbl 1062.35072Neustupa, Jiří; Penel, Patrick 3 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 1101.35353Neustupa, Jiří; Penel, Patrick 1 2005 On the Navier-Stokes equation with boundary conditions based on vorticity. Zbl 1061.35073Bellout, Hamid; Neustupa, Jiří; Penel, Patrick 13 2004 Stability of a steady solution of a semilinear parabolic system in an exterior domain. Zbl 1071.35021Neustupa, Jirí 1 2004 The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier–Stokes equations. Zbl 1040.35075Neustupa, Jiří; Penel, Patrick 11 2003 The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure. Zbl 1099.35087Neustupa, Jiří 3 2003 An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073Neustupa, Jirí; Novotný, Antonín; Penel, Patrick 53 2002 New conditions for local regularity of a suitable weak solution to the Navier-Stokes equation. Zbl 1010.35081Nečas, Jindřich; Neustupa, Jiří 7 2002 A weak solvability of a steady variational inequality of the Navier-Stokes type with mixed boundary conditions. Zbl 1042.35605Kračmar, S.; Neustupa, J. 34 2001 Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations. Zbl 1027.35094Neustupa, Jiří; Penel, Patrick 33 2001 Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component. Zbl 0981.35046Neustupa, Jiří; Pokorný, Milan 27 2001 Mathematical fluid mechanics. Recent results and open questions. Zbl 0971.00052 1 2001 An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations. Zbl 0980.35129Neustupa, Jiří; Pokorný, Milan 26 2000 Regularity of a suitable weak solution to the Navier-Stokes equations as a consequence of regularity of one velocity component. Zbl 0953.35113Neustupa, Jiří; Penel, Patrick 42 1999 Partial regularity of weak solutions to the Navier-stokes equations in the class \(L^\infty(0,T;L^3(\Omega)^3)\). Zbl 0949.35107Neustupa, Jiří 12 1999 Stabilizing influence of a skew-symmetric operator in semilinear parabolic equation. Zbl 0936.47027Neustupa, Jiří 1 1999 A semigroup generated by the linearized Navier-Stokes equations for compressible fluid and its uniform growth bound in Hölder spaces. Zbl 0954.35130Neustupa, Jiří 1 1998 Stability of solutions of parabolic equations by a combination of the semigroup theory and the energy method. Zbl 0847.35018Neustupa, Jiří 1 1995 Modelling of flows of a viscous incompressible fluid through a channel by means of variational inequalities. Zbl 0836.35121Kračmar, S.; Neustupa, J. 13 1994 A principle of linearization and the uniform asymptotic stability of solutions of the Navier-Stokes equations for compressible isothermic fluids. Zbl 0798.35128Neustupa, Jiří 1 1994 Uniform stability at permanently acting disturbances of solutions of Navier-Stokes equations for compressible isothermic fluids. Zbl 0815.35087Neustupa, Jiří 1 1994 Measure-valued solutions of the Euler and Navier-Stokes equations for compressible barotropic fluids. Zbl 0805.76064Neustupa, Jiří 16 1993 The global existence of solutions to the equations of motion of a viscous gas with an artificial viscosity. Zbl 0724.76073Neustupa, Jiří 1 1991 Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid. Zbl 0668.76074Neustupa, Jiři 3 1988 Destabilizing effect of unilaternal conditions in reaction-diffusion systems. Zbl 0597.35006Kučera, Milan; Neustupa, Jiří 6 1986 A contribution to the theory of stability of differential equations in Banach space. Zbl 0441.34044Neustupa, Jiří 2 1979 The uniform exponential stability and the uniform stability at constantly acting disturbances of a periodic solution of a wave equation. Zbl 0346.35012Neustupa, Jiří 3 1976 all cited Publications top 5 cited Publications all top 5 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. 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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. 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Series B 1 AIMS Mathematics 1 Mathematics in Engineering ...and 3 more Serials all top 5 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) Citations by Year