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CZ/EN

Department of Technical Mathematics

People

prof. RNDr. Jiří Neustupa, CSc.

prof. RNDr. Jiří Neustupa, CSc.

neustjir (at) fjfi.cvut.cz

(22 435) 7562

room: B-214, Karlovo náměstí


Timetable and consultation hours

Navigace

Další informace můžete nalézt v centrální databázi V3S.

Granty

  • GA201/08/0012  
    Kvalitativní analýza a numerické řešení problémů proudění – Neustupa, J. (2008-2012)
  • GA201/05/0005  
    Matematická teorie a numerická simulace problémů mechaniky tekutin – Neustupa, J. (2005-2007)
  • GA201/02/0684  
    Matematická a numerická analýza problémů mechaniky tekutin – Neustupa, J. (2002-2004)
  • GA201/96/0313  
    Matematická teorie a numerické řešení problémů mechaniky tekutin – Neustupa, J. (1996-1998)
  • GA201/99/0267  
    Kvalitativní teorie a numerická analýza problémů dynamiky tekutin – Neustupa, J. (1999-2001)

Článek v periodiku

2013

  • On L3-stability of strong solutions of the Navier–Stokes equations with the Navier-type boundary conditions – Kučera, P. - Neustupa, J., 2013

2011

  • A Weak Solvability to the Steady Navier - Stokes Equations for Compressible Barotropic Fluid with Generalized Impermeability Boundary Conditions – Muzereau, O. - Neustupa, J., - Penel, P., 2011

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 – Neustupa, J. - Penel, P., 2010

2009

  • On Pertrurbations of Solutions to the Navier-Stokes Equations with Large Initial Data and Their Dynamics – Kučera, P. - Neustupa, J., 2009
  • On Viscosity - Continuous Solutions of the Euler and Navier - Stokes Equations with a Navier - Type Boundary Condition – Bellout, H. - Neustupa, J., - Penel, P., 2009
  • The Navier - Stokes Equations with Navier's Boundary Condition around Moving Bodies in Presence of Collisions – Neustupa, J. - Penel, P., 2009

2008

  • The Navier-Stokes Equation with Inhomogeneous Boundary Conditions Based on Vorticity – Neustupa, J. - Penel, P., 2008

2007

  • Navier-Stokes Equations with Slip Boundary Conditions – Neustupa, J. - Penel, P., 2007

2006

  • Strong Solution of the Navier-Stokes Equation with Large Initial Velocity in Domain of a Fractional Power of the Stokes Operator – Neustupa, J. - Kučera, P., 2006

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 – Neustupa, J. - Penel, P., 2005
  • On the Generalized Energy Inequality up to the Boundary for the Navier-Stokes Equation with Slip Boundary Conditions – Kučera, P. - Neustupa, J., - Skalák, Z., 2005

2004

  • Stability of a Steady Solution of a Semilinear Parabolic System in an Exterior Domain – Neustupa, J., 2004
  • On the Navier-Stokes Equation with Boundary Conditions Based on Vorticity – Bellout, H. - Neustupa, J., - Penel, P., 2004

2003

  • The Role of Eigenvalues and Eigenvectors of the Symmetrized Gradient of Velocity in the Theory of the Navier-Stokes Equations – Neustupa, J. - Penel, P., 2003

2002

  • New Conditions for Local Regularity of a Suitable Weak Solution to the Navier - Stokes Equation – Nečas, J. - Neustupa, J., 2002

2001

  • Axisymmetric Flow of Navier - Stokes Fluid in the Whole Space with Non - Zero Angular Velocity Component – Neustupa, J. - Pokorný, M., 2001
  • A Weak Solvability of a Steady Variational Inequality of the Navier-Stokes Type with Mixed Boundary Conditions – Kračmar, S. - Neustupa, J., 2001

2000

  • An Interior Regularity Criterion for an Axially Symmetric Suitable Weak Solution to the Navier-Stokes Equations – Neustupa, J. - Pokorný, M., 2000

1999

  • Partial Regularity of Weak Solutions to the Navier-Stokes Equations in the Class L-infinity, L-3 – Neustupa, J., 1999
  • Stabilizing Influence of a Skew-Symmetric Operator in Semilinear Parabolic Equations – Neustupa, J., 1999

1995

  • A Principle of Linearization in Theory of Stability of Solutions of Variational Inequalities – Neustupa, J., 1995

1994

  • A Principle of Linearization in the Theory of Stability of the Navier-Stokes Equations for Compressible Isothermic Fluids – Neustupa, J., 1994
  • Modelling of Flows of Viscous Incompressible Fluid Through a Channel by Means of Variational Inequalities – Kračmar, S. - Neustupa, J., 1994

1993

  • Measure-valued Solutions of the Euler and Navier-Stokes Equations for Compressible Barotropic Fluids – Neustupa, J., 1993

Stať ve sborníku

2007

  • Navier-Stokes' Equation with the Generalized Impermeability Boundary Conditions and Initial Data in Domains of Powers of the Stokes Operator – Kučera, P. - Neustupa, J., - Penel, P.P., 2007
  • What Slip Boundary Conditions Induce a Well Posed Problem for the Navier - Stokes Equation? – Neustupa, J., 2007

2006

  • Stability of a Solution of the Navier-Stokes Equation in a Norm Induced by a Fractional Power of the Stokes Operator – Kučera, P. - Neustupa, J., 2006
  • On Asymptotic Behavior of Solutions of a Perturbed Non-Steady Stokes Equation in an Exterior Domain – Neustupa, J., 2006
  • The Generalized Impermeability Boundary Conditions and Regular Solutions of the Navier-Stokes Equations – Neustupa, J. - Penel, P., 2006
  • The Role of Boundary Conditions in the Theory of the Navier-Stokes Equation – Neustupa, J. - Penel, P., 2006

2005

  • On a Suitable Weak Solution of the Navier-Stokes Equation with the Generalized Impermeability Boundary Conditions – Kučera, P. - Neustupa, J., - Skalák, Z., 2005
  • The Navier-Stokes Equation for Incompressible Fluid and the Generalized Impermeability Boundary Conditions – Neustupa, J. - Penel, P., 2005

2004

  • On the Navier-Stokes Equations with Non-Traditional Boundary Conditions – Neustupa, J. - Penel, P., 2004

2003

  • The Spectrum of the Rate of Deformation Tensor and Regularity of a Solution to the Navier-Stokes Equation – Neustupa, J. - Penel, P., 2003

2001

  • On Singularities of Weak Solutions to the Navier - Stokes Equation – Neustupa, J., 2001
  • On Regularity of an Axially Symmetric Weak Solution of the Navier - Stokes Equations – Neustupa, J., 2001

2000

  • On Possible Singularities of a Weak Solution to the Navier-Stokes Equations – Neustupa, J., 2000

1999

  • A Remark to Regularity of Weak Solutions to the Navier-Stokes Equations – Neustupa, J., 1999
  • Some Open Questions in the Theory of Weak Solutions to the Navier-Stokes Equations – Neustupa, J., 1999
  • Some Recent Results on Regularity of Solutions to the Navier-Stokes Equations – Neustupa, J., 1999

1998

  • A Semigroup Generated by the Linearized Navier-Stokes Equations for Compressible Fluid and its Uniform Growth Bound in Holder Spaces – Neustupa, J., 1998
  • A Semigroup Approach to Stability of Steady Solutions of the Compressible Navier-Stokes Equations – Neustupa, J., 1998
  • The Linearized Navier-Stokes Equations for Compressible Barotropic Fluid – Neustupa, J., 1998

1997

  • Některé vlastnosti Navierových Stokesových rovnic se smíšenými okrajovými podmínkami – Neustupa, J., 1997
  • Stability of Solutions to the Navier-Stokes Equations with Mixed Boundary Conditions – Neustupa, J., 1997

1996

  • Stability of Steady Solutions of Parabolic Equations in Hilbert Spaces – Neustupa, J., 1996

1995

  • Simulation of Steady Flows through Channels by Variational Inequations – Kračmar, S. - Neustupa, J., 1995
  • Mathematical Models in Mechanics of Fluids – Neustupa, J. - Benda, J. - Kračmar, S. - Machalický, M., - Matušů, Š., 1995
  • System for Production of Geometricaly Complicated Surfaces in Flow Machines – Rybín, J. - Neustupa, J., - Čurda, T., 1995
  • Stability of Solutions of Differential Equations in Hilbert Spaces by a Combination of Energy Method and Semigroup Theory – Neustupa, J., 1995

1994

  • Stabilita stacionárních řešení Navier-Stokesových rovnic v neomezených oblastech – Neustupa, J., 1994
  • Mathematical Modelling in Fluid Mechanics – Neustupa, J. - Benda, J. - Kračmar, S. - Machalický, M., - Matušů, Š., 1994
  • Kvalitativní vlastnosti variační nerovnice Navierova-Stokesova typu se smíšenými okrajovými podmínkami – Kračmar, S. - Neustupa, J., 1994

1993

  • Some Initial-boundary Value Problems of the Navier-Stokes Type with Mixed Boundary Conditions – Kračmar, S. - Neustupa, J., 1993
  • Global Existence of Weak Solutions of a Nonsteady Varitional Inequality of the Navie-Stokes Type with Mixed Boundary Conditions – Kračmar, S. - Neustupa, J., 1993
  • Some Qualitative Features of Mathematical Models in Hydrodynamics – Neustupa, J. - Benda, J. - Kračmar, S., - Matušů, Š., 1993

Zpráva

1995

  • Stabilita stacionárních řešení Navierových-Stokesových rovnic ve vnějších oblastech – Neustupa, J., 1995
  • Banachova věta o pevném bodu a její aplikace v různých matematických disciplinách – Neustupa, J., 1995
  • Stabilizační vliv antisymetrického operátoru na asymptotické chování řešení diferenciálních rovnic – Neustupa, J., 1995
  • Stability of Solutions of Differential Equations in Hilbert Spaces - Stabilization by Means of an Antisymmetric Operator – Neustupa, J., 1995
  • Stabilizing Influence of a Skew-Symetric Operator in Differential Equations in Hilbert Spaces – Neustupa, J., 1995
  • Stabilizing Influence of a Skew-Symmetric Operator in Differential Equations – Neustupa, J., 1995
  • Stability of Steady Solutions of the Navier-Stokes Equations in Exterior Domains – Neustupa, J., 1995
  • Stability of Solutions of Abstract Parabolic Equations with Applications to the Navier-Stokes Equations in Exterior Domains – Neustupa, J., 1995
  • Asymptotické chování řešení diferenciálních rovnic v Hilbertových prostorech 2 – Neustupa, J., 1995
  • Asymptotické chování řešení diferenciálních rovnic v Hilbertových prostorech 1 – Neustupa, J., 1995

1994

  • Stability of Stationary Solutions of the Incompressible Navier-Stokes Equations in Exterior Domains – Neustupa, J., 1994
  • Stability of Solutions of Incompressible Navier-Stokes Equations in Exterior Domains – Neustupa, J., 1994
  • Stability of Solutions of Incompressible Navier-Stokes Equations in Exterior Domains – Neustupa, J., 1994
  • Some Qualitative Properties of Eqations of Motion of Viscous Compressible Fluids – Neustupa, J., 1994
  • Some Qualitative Properties of Eqations of Motion of Viscous Compressible Fluids – Neustupa, J., 1994
  • Stability of Solutions of Parabolic Equtions in Hilbert Spaces – Neustupa, J., 1994
  • Stability of Solutions of Parabolic Equtions in Hilbert Spaces with Applications to Flows in Exterior Domains – Neustupa, J., 1994
  • Stability of Solutions of Parabolic Equations in Hilbert Spaces with Applications to Flow in Exterior Domains – Neustupa, J., 1994
  • Stability of Solutions of Evolutions Differential Equations in Banach Spaces – Neustupa, J., 1994
  • Stability of Solutions of Equations of Motion of Compressible Fluids in Hoelder Norms – Neustupa, J., 1994

1993

  • Globální existence slabých řešení variačních nerovnic Navierova-Stokesova typu – Kračmar, S. - Neustupa, J., 1993
  • Modelování proudění vazké nestlačitelné tekutiny v kanálu pomocí variačních nerovnic – Neustupa, J. - Kračmar, S., 1993
  • A Contribution to the Theory of Stability of Solutions of the Compressible Navier-Stokes Equations – Neustupa, J., 1993
  • Modelling of Fluid Flows in a Channel by Means of Variational Inequalities – Kračmar, S. - Neustupa, J., 1993

Monografie, skripta, učebnice, encyklopedie

2003

  • Matematika II – Neustupa, J., 2003

2002

  • Matematika I – Neustupa, J., 2002

2001

  • Mathematical Fluid Mechanics – Neustupa, J. ed. - Penel, P. ed., 2001

2000

  • Parciální diferenciální rovnice – Fořt, J. - Neustupa, J., 2000

1999

  • Selected Topics in the Theory of Stability – Neustupa, J., 1999

1998

  • Matematika I – Neustupa, J. - Kračmar, S., 1998
  • Sbírka příkladů z Matematiky I – Neustupa, J. - Kračmar, S., 1998
  • Mathematics II – Neustupa, J. - Kračmar, S., 1998
  • Problems in Mathematics I – Neustupa, J. - Kračmar, S., 1998

1997

  • Matematika 1 – Neustupa, J., 1997

1996

  • Mathematics 1 – Neustupa, J., 1996

1995

  • Sbírka příkladů z Matematiky 1 – Neustupa, J. - Kračmar, S., 1995
  • Matematika 1 – Neustupa, J., 1995

Kapitola v knize

2003

  • An Interior Regularity of a Weak Solution to the Navier-Stokes Equations in Dependence on One Component of Velocity – Neustupa, J. - Novotný, A., - Penel, P., 2003

2001

  • Anisotropic and Geometric Criteria for Interior Regularity of Weak Solutions to the 3D Navier-Stokes Equations – Neustupa, J. - Penel, P., 2001

1999

  • Regularity of a Suitable Weak Solution of the Navier-Stokes Equations as a Consequnce of Regularity of One Velocity Component – Neustupa, J. - Penel, P., 1999

Vyzvaná nepublikovaná přednáška

1998

  • Partial Regularity of Weak Solutions to the Navier-Stokes Equations in the Class of Certain Functions – Neustupa, J., 1998
  • Partial Regularity of Weak Solutions to the Navier-Stokes Equations in the Class of Certain Functions – Neustupa, J., 1998
  • Regularita slabých řešení Navierových-Stokesových rovnic jako důsledek regularity jedné komponenty rychlosti – Neustupa, J., 1998
  • Partial Regularity of Weak Solutions to the Navier-Stokes Equations in the Class of Certain Functions – Neustupa, J., 1998
  • Some Recent Resultas on the Partial Regularity of Weak Solutions to the Navier-Stokes Equations – Neustupa, J., 1998
  • A Co-Semigroup Generated by the Linearized Navier-Stokes Equations for Barotropic Compressible Fluid and its Uniform Growth Bound – Neustupa, J., 1998
  • Stability of Solutions to Abstract Parabolic Equations in Hilbert Spaces with Applications to the Navier-Stokes Equations in Exterior Domains – Neustupa, J., 1998