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Ústav technické matematiky

CZ   / EN  

Lidé

Tomáš Neustupa

doc. RNDr. Tomáš Neustupa, Ph.D.

tomas.neustupa (zavináč) fs.cvut.cz

člen AS - zaměstnanec / Fakulta strojní

(22 435) 7562
420777943524

místnost: B-214, Karlovo náměstí


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Granty

  • GP201/09/P413  
    Matematická analýza a numerické řešení proudění profilovou mříží – Neustupa, T. (2009-2011)

Článek v periodiku

2023

  • Existence of a steady flow through a rotating radial turbine with an arbitrarily large inflow and an artificial boundary condition on the outflow – Neustupa, T., Zeitschrift für angewandte Mathematik und Mechanik. 2023, 103(10), ISSN 0044-2267.
  • The weak Stokes problem associated with a flow through a profile cascade in L-r-framework – Neustupa, T., Mathematische Nachrichten. 2023, 296(2), 779-796. ISSN 0025-584X.

2022

  • The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade in L-r-Framework – Neustupa, T., Applications of mathematics. 2022, 37 171-190. ISSN 0862-7940.
  • Existence of steady flows of a viscous incompressible fluid through a profile cascade and their L-r-regularity – Neustupa, T., Mathematical Methods in the Applied Sciences. 2022, 45(4), 1827-1844. ISSN 0170-4214.

2021

  • On the Sensitivity of the Nonlinear Term in the Outflow Boundary Condition – Neustupa, T. - Winter, O., Acta Polytechnica. 2021, 61(Special Issue), 117-121. ISSN 1210-2709.
  • The Maximum Regularity Property of the Steady Stokes Problem Associated with a Flow Through a Profile Cascade – Neustupa, T., Acta Applicandae Mathematicae. 2021, 172(1), ISSN 0167-8019.

2017

  • The weak solvability of the steady problem modelling the flow of a viscous incompressible heat-conductive fluid through the profile cascade – Neustupa, T., International Journal of Numerical Methods for Heat & Fluid Flow. 2017, 27(7), 1451-1466. ISSN 1758-6585.

2016

  • A steady flow through a plane cascade of profiles with an arbitrarily large inflow_The mathematical model, existence of a weak solution – Neustupa, T., Applied Mathematics and Computation. 2016, 272(3), 687-691. ISSN 0096-3003.

2013

  • On the Existence of a Weak Solution of Viscous Incompressible Flow Past a Cascade of Profiles with an Arbitrarily Large Inflow – Neustupa, T. - Feistauer, M., Journal of Mathematical Fluid Mechanics. 2013, 15(4), 701-715. ISSN 1422-6928.

2012

  • The Analysis of Stationary Viscous Incompressible Flow Through a Rotating Radial Blade Machine, Existence of a Weak Solution – Neustupa, T., Applied Mathematics and Computation. 2012, 219(7), 3316-3322. ISSN 0096-3003.

2006

  • Modelling of a Steady Flow in a Cascade with Separate Boundary Conditions for Vorticity and Bernoulli's Pressure on the Outflow – Neustupa, T., WSEAS Transactions on Mathematics. 2006, 5(3), 274-279. ISSN 1109-2769.
  • On Non-Stationary Viscous Incompressible Flow through a Cascade of Profiles – Neustupa, T. - Feistauer, M., Mathematical Methods in the Applied Sciences. 2006, 29(16), 1907-1941. ISSN 1099-1476.
  • A Flow through a Cascade of Profiles with Natural Boundary Conditions Involving Bernoulli's Pressure on the Outflow – Neustupa, T. - Feistauer, M., WSEAS Transactions on Fluid Mechanics. 2006, 1(1), 40-46. ISSN 1790-5087.

Stať ve sborníku

2020

  • On flow of a micropolar fluid in a 2D spatially-periodic domain – Neustupa, T., In: Proceedings of International Conference on Numerical Analysis and Applied Mathematics 2019 (ICNAAM-2019). New York: AIP Conference Proceedings, 2020. p. 030013-1-030013-4. AIP Conference Proceedings. vol. 2293. ISSN 0094-243X. ISBN 978-0-7354-4025-8.

2017

  • A Mathematical Model of a Steady Flow Through the Kaplan Turbine - the Existence of a Weak Solution in the Case of an Arbitrarily Large Inflow – Neustupa, T., In: Proceedings of International Conference on Numerical Analysis and Applied Mathematics 2016 (ICNAAM-2016). New York: AIP Conference Proceedings, 2017. AIP Conference Proceedings. vol. 1863. ISSN 0094-243X. ISBN 978-0-7354-1538-6.
  • A nonlinear boundary condition for the radial blade machine – Neustupa, T., In: Topical problems of fluid mechanics. Ústav termomechaniky AV ČR, v.v.i., 2017. p. 235-240. ISSN 2336-5781. ISBN 978-80-87012-61-1.

2016

  • On the Existence of a Weak Solution of a Steady Flow of a Heat Conductive Incompressible Fluid Through a Cascade of Profile – Neustupa, T., In: Topical problems of fluid mechanics 2016. Prague: Institute of Thermomechanics, AS CR, v.v.i., 2016. pp. 151-156. ISSN 2336-5781. ISBN 978-80-87012-58-1.
  • Mathematical modelling of a steady flow of a heat conductive incompressible fluid through the cascade of profiles – Neustupa, T., In: PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015). New York: AIP Conference Proceedings, 2016. ISSN 0094-243X. ISBN 978-0-7354-1392-4.

2015

  • Analysis of a Steady Flow Through a Cascade of Profiles with an Arbitrarily Large Inflow – Neustupa, T., In: Proceedings of the XXIV Congress on Differntial Equations and Applications / XIV Congress on Applied Mathematics. Cadiz: Servicio de Publicaciones de la Universidad de Cadiz, 2015. pp. 189-193. ISBN 978-84-9828-527-7.
  • The Mathematical Model of a Steady Flow Through a Plane Profile Cascade with an Arbitrarily Large Inflow – Existence of a Weak Solution – Neustupa, T., In: PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). New York: AIP Conference Proceedings, 2015. AIP Conference Proceedings. vol. 1648. ISSN 1551-7616. ISBN 978-0-7354-1287-3.

2014

  • A Note on the Incompressible Viscous Steady Flow Through s Cascade of Profiles – Neustupa, T., In: Conference TOPICAL PROBLEMS OF FLUID MECHANICS 2014. Prague: Institute of Thermomechanics, AS CR, v.v.i., 2014. pp. 77-80. ISBN 978-80-87012-51-2.

2013

  • Incompressible Viscous Stationary Flow through a Cascade of Profiles - Existence of aWeak Solution, Transferability of Results From One Period Back to Original Infinite Domain – Neustupa, T., In: 11th International Conference of Numerical Analysis and Applied Mathematics 2013. New York: American Institute of Physics, 2013. pp. 78-81. ISSN 0094-243X. ISBN 978-0-7354-1185-2.
  • Incompressible viscous stationary flow through a cascade of profiles existence of a weak solution, transferability of results from one period back to original domain – Neustupa, T., In: Colloquium Fluid Dynamics 2013. Praha: Ústav termomechaniky AV ČR, 2013. pp. 21-22. ISBN 978-80-87012-48-2.
  • Weak Formulation of the Problem of Modelling the Steady Flow of a Viscous Incompressible Liquid Through a Rotating Radial Blade Machine – Neustupa, T., In: Numerical Mathematics and Advanced Applications 2011. Heidelberg: Springer, 2013. pp. 549-557. ISBN 978-3-642-33133-6.

2012

  • On Existence and Uniqueness of the Solution of Stationary Flow in a Profile Cascade with Natural Boundary Condition Involving Bernoulli's Pressure on the Outflow – Neustupa, T., In: NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. Melville, New York: American Institute of Physics, 2012. pp. 2439-2442. ISSN 0094-243X. ISBN 978-0-7354-1091-6.
  • On the Stokes Operator Associated With the Flow Through a Cascade of Profiles – Neustupa, T., In: NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. Melville, New York: American Institute of Physics, 2012. pp. 145-148. ISSN 0094-243X. ISBN 978-0-7354-1091-6.

2011

  • Analysis of a Stationary Viscous Incompressible Flow through a Cascade of Profiles with a Large Inflow – Neustupa, T., In: ICNAAM-2011 Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2011. Melville, New York: American Institute of Physics, 2011. pp. 114-118. AIP Conference Proceedings. ISBN 978-0-7354-0954-5.
  • On the Existence of a Weak Solution of Incompressible Flow through a Radial Blade Machine – Neustupa, T., In: Topical Problems of Fluid Mechanics 2011. Prague: Institute of Thermomechanics, AS CR, v.v.i., 2011. pp. 77-80. ISBN 978-80-87012-32-1.

2010

  • On Stationary Viscous Incompressible Flow through a Cascade of Profiles with the Modified Boundary Condition on the Outflow and Large Inflow – Neustupa, T., In: Numerical Mathematics and Advanced Applications. ENUMATH 2009. Berlin: Springer, 2010. pp. 703-712. ISBN 978-3-642-11794-7.
  • On Analysis of Stationary Viscous Incompressible Flow through a Radial Blade Machine – Neustupa, T., In: Numerical Analysis and Applied Mathematics, Vols I - III. New York: American Institute of Physics, 2010. pp. 79-82. AIP Conference Proceedings. ISSN 0094-243X. ISBN 978-0-7354-0834-0.
  • The Problem of Boundary Condition on the Outflow for an Incompressible Flow through a Cascade of Profiles – Neustupa, T., In: Proceedings of the Fifth Conference on Computation Fluid Dynamics ECCOMAS CFD 2010. Lisbon: Instituto Superior Técnico, Technical University of Lisbon, 2010. ISBN 978-989-96778-1-4.
  • A Remark on the Solution of Large Inflow Problem in Existence of Solution for 2D Steady Navier - Stokes Equations in a Cascade of Profiles – Neustupa, T., In: Topical Problems of Fluid Mechanics 2010 Proceedings. Prague: Institute of Thermomechanics, AS CR, v.v.i., 2010. pp. 107-110. ISBN 978-80-87012-25-3.

2009

  • Question of Existence and Uniqueness of Solution for Navier - Stokes Equation with Linear "Do - Nothing" Type Boundary Condition on the Outflow – Neustupa, T., In: Numerical Analysis and Its Applications. Berlin: Springer-Verlag, 2009. pp. 431-438. ISSN 0302-9743. ISBN 978-3-642-00463-6.
  • On the Problem of Uniqueness for the 2D Steady Navier - Stokes Equations in a Cascade of Profiles – Neustupa, T., In: Topical Problems of Fluid Mechanics 2009. Prague: Institute of Thermomechanics, AS CR, v.v.i., 2009. pp. 79-82. ISBN 978-80-87012-19-2.

2008

  • On Uniqueness of a Weak Solution to the Steady Navier - Stokes Problem in a Profile Cascade with a Nonlinear Boundary Condition on the Outflow – Neustupa, T., In: Proceedings of Seminar Programs and Algorithms of Numerical Mathematics 14. Praha: Matematický ústav AV ČR, 2008. pp. 164-169. ISBN 978-80-85823-55-4.
  • On the Problem of Uniqueness for the Stationary Navier-Stokes Equations with Nonlinear Boundary Conditions – Neustupa, T., In: Topical Problems of Fluid Mechanics 2008. Praha: Ústav termomechaniky AV ČR, 2008. pp. 73-76. ISBN 978-80-87012-09-3.

2007

  • On a Nonstationary Flow through a Cascade of Profiles – Neustupa, T., In: Topical Problems of Fluid Mechanics 2007. Praha: Ústav termomechaniky AV ČR, 2007. pp. 115-118. ISBN 978-80-87012-04-8.

2006

  • Method of Time Semidiscretization for a Viscous Cascade Flow – Neustupa, T. - Feistauer, M., In: Proceedings of the XVI-th summer school Software and Algorithms of Numerical Mathematics. Plzeň: Západočeská univerzita v Plzni, 2006. pp. 185-194. ISBN 80-7043-426-0.
  • The Flow in a Profile Cascade with Separate Boundary Conditions for Vorticity and Bernoulli's Pressure on the Outflow – Neustupa, T., In: Proceedings of the 2006 WSEAS/IASME International Conference on Continuum Mechanics. Athens: WSEAS Press, 2006. pp. 103-106. ISSN 1790-5095. ISBN 960-8457-44-0.
  • The Flow through a Profile Cascade with a Mixed Boundary Condition Involving Bernoulli's Pressure – Neustupa, T., In: Topical Problem of Fluid Mechanics 2006. Praha: Ústav termomechaniky AV ČR, 2006. pp. 117-120. ISBN 80-85918-98-6.

Kapitola v knize

2023

  • Reduction of a 3D Mathematical Model of Flow Through an Axial Turbine to Two Spatial Dimensions and Restriction to One Period of the Infinite Periodical Domain – Neustupa, T., In: Fluids Under Control The 2021 Prague-Sum Workshop Lectures. Basel: Birkhäuser Verlag, 2023. p. 199-215. ISSN 2297-0320. ISBN 978-3-031-27624-8.

Sborník

2021

  • Topical Problems of Fluid Mechanics 2021 – Bodnár, T. ed. - Neustupa, T. ed., - Šimurda, D. ed., Praha, 2021-02-17/2021-02-19. Prague: Institute of Thermomechanics, AS CR, v.v.i., 2021. ISSN 2336-5781. ISBN 978-80-87012-76-5.