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Department of Technical Mathematics

People

doc. RNDr. Stanislav Kračmar, CSc.

doc. RNDr. Stanislav Kračmar, CSc.

Stanislav.Kracmar (at) fs.cvut.cz

(22 435) 7547

room: B-211, Karlovo náměstí


Timetable and consultation hours

Navigace

Další informace můžete nalézt v centrální databázi V3S.

Granty

  • GAP201/11/1304  
    Proudění tekutin v oblastech s měnící se geometrií – Kračmar, S. (2011-2013)
  • IAA100190804  
    Pohyb tuhých těles v kapalinách: matematická analýza, numerická simulace a související problémy – Kračmar, S. (2008-2010)
  • IAA100190505  
    Matematické modelování pohybu těles v newtonovských a nenewtonovských tekutinách a s tím související matematické problémy – Kračmar, S. (2005-2007)

Článek v periodiku

2018

  • Modeling of the unsteady flow through a channel with an artificial outflow condition by the Navier-Stokes variational inequality – Kračmar, S. - Neustupa, J., Mathematische Nachrichten. 2018, 291(11-12), 1801-1814. ISSN 0025-584X.

2017

  • Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity – Deuring, P. - Kračmar, S., - Necasova, S., Zeitschrift für angewandte Mathematik und Physik. 2017, 68(1), ISSN 0044-2275.
  • A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation – Deuring, P. - Kračmar, S., - Nečasová, Š., Discrete and Continuous Dynamical Systems - Series A. 2017, 37(3), 1389-1409. ISSN 1078-0947.

2016

  • Note to the problem of the asymptotic behavior of a viscous incompressible flow around a rotating body – Deuring, P. - Kračmar, S., - Necasova, S., Comptes Rendus Mathematique. 2016, 354(8), 794-798. ISSN 1631-073X.
  • Very weak solutions to the rotating Stokes, Oseen and Navier-Stokes problems in weighted spaces – Kračmar, S. - Krbec, M. - Nečasová, S., - Penel, P., Mathematische Nachrichten. 2016, 289(11-12), 1466-1487. ISSN 0025-584X.

2015

  • DECAY ESTIMATES FOR LINEARIZED UNSTEADY INCOMPRESSIBLE VISCOUS FLOWS AROUND ROTATING AND TRANSLATING BODIES – Deuring, P. - Kračmar, S. - Necasova, S., - Wittwer, P., Journal of elliptic and parabolic equations. 2015, 1(2), 325-333. ISSN 2296-9020.

2014

  • Compressible flow around rotating and translating body – Kračmar, S. - Nečasová, Š., - Novotný, A., Ann Univ Ferrara. 2014, 60(1), 189-208. ISSN 0430-3202.
  • Linearized stationary incompressible flow around rotating and translating bodies - Leray solutions – Deuring, P. - Kračmar, S., - Nečasová, Š., Discrete and Continuous Dynamical Systems. Series S. 2014, 7(5), 967-979. ISSN 1937-1632.

2013

  • A certain weighted variant of the embedding inequalities – Kračmar, S. - Nečasová, Š., - Penel, P., Comptes Rendus Mathematique. 2013, 351(17-18), 663-668. ISSN 1631-073X.
  • Pointwise decay of stationary rotational viscous incompressible flows with nonzero velocity at infinity – Deuring, P. - Kračmar, S., - Nečasová, Š., JOURNAL OF DIFFERENTIAL EQUATIONS. 2013, 255(7), 1576-1606. ISSN 0022-0396.
  • A maximum modulus theorem for the Oseen problem – Kračmar, S. - Medková, D. - Nečasová, Š., - Varnhorn, W., Annali di Matematica Pura ed Applicata. 2013, 192(6), 1059-1076. ISSN 0373-3114.

2012

  • Linearized stationary incompressible flow around rotating and translating bodies: Asymptotic profile of the velocity gradient and decay estimate of the second derivatives of the velocity – Deuring, P. - Kračmar, S., - Nečasová, Š., JOURNAL OF DIFFERENTIAL EQUATIONS. 2012, 252(1), 459-476. ISSN 0022-0396.

2011

  • A LINEARIZED SYSTEM DESCRIBING STATIONARY INCOMPRESSIBLE VISCOUS FLOW AROUND ROTATING AND TRANSLATING BODIES : IMPROVED DECAY ESTIMATES OF THE VELOCITY AND ITS GRADIENT – Deuring, P. - Kračmar, S., - Necasova, S., Discrete and Continuous Dynamical Systems - Series A. 2011,(31), 351-361. ISSN 1078-0947.
  • On Pointwise Decay of Linearized Stationary Incompressible Viscous Flow around Rotating and Translating Bodies – Deuring, P. - Kračmar, S., - Nečasová, Š., SIAM Journal on Mathematical Analysis. 2011, 43(2), 705-738. ISSN 0036-1410.

2010

  • A Representation Formula for Linearized Stationary Incompressible Viscous Flows aroud Rotating and Translating Bodies – Deuring, P. - Kračmar, S., - Nečasová, Š., Discrete and Continuous Dynamical Systems. Series S. 2010, 3(2), 237-252. ISSN 1937-1632.
  • L - q - Approach of Weak Solutions to Stationary Rotating Oseen Equations in Exterior Domains – Kračmar, S. - Nečasová, Š., - Penel, P., Quarterly of Applied Mathematics. 2010, 68(3), 421-437. ISSN 0033-569X.
  • Anisotropic L2 - Estimates of Weak Solutions to the Stationary Oseen - Type Equations in 3D - Exterior Domain for a Rotating Body – Kračmar, S. - Nečasová, Š., - Penel, P., Journal of the Mathematical Society of Japan. 2010, 62(1), 239-268. ISSN 0025-5645.

2009

  • Weighted L2 and Lq Approaches to Fluid Flow Past a Rotating Body – Farwig, R. - Kračmar, S. - Krbec, M. - Nečasová, Š., - Penel, P., Banach Center Publication. 2009, -(86), 51-89. ISSN 0137-6934.
  • An L - q - Approach with Generalized Anisotropic Weights of the Weak Solution of the Oseen Flow around a Rotating Body in the Whole Space – Kračmar, S. - Krbec, M. - Nečasová, Š. - Penel, P., - Schumacher, K., Nonlinear Analysis: Theory, Methods & Applications. 2009, 71(12), e2940-e2957. ISSN 0362-546X.

2008

  • L^q - Approach to Weak Solutions of the Oseen Flow around a Rotating Body – Kračmar, S. - Nečasová, Š., - Penel, P., Banach Center Publication. 2008, -(81), 259-276. ISSN 0137-6934.

2006

  • On the Steady Fall of a Rigid Body in Oseen Flow - Weighted Approach – Kračmar, S. - Nečasová, Š., WSEAS Transactions on Fluid Mechanics. 2006, 1(1), 83-88. ISSN 1790-5087.
  • On the Oseen Problem in Exterior Domains - New Anisotropically Weighted – Kračmar, S. - Nečasová, Š., WSEAS Transactions on Mathematics. 2006, 5(3), 297-302. ISSN 1109-2769.
  • On the Weak Solution to the Oseen -Type Problem Arising from Flow around a Rotating Rigid Body in the Whole Space – Kračmar, S. - Nečasová, Š., - Penel, P., WSEAS Transactions on Mathematics. 2006, 5(3), 243-251. ISSN 1109-2769.

2005

  • New Regularity Results for a Generic Model Equation in Exterior 3D Domains – Kračmar, S. - Penel, P., Banach Center Publication. 2005, 70(4), 57-75. ISSN 0137-6934.
  • Estimates of Weak Solutions in Anisotropically Weighted Sobolev Spaces to the Stationary Rotating Oseen Equations – Kračmar, S. - Nečasová, Š., - Penel, P., IASME Transactions. 2005, 2(6), 854-861. ISSN 1790-031X.

2004

  • Variational Properties of a Generic Model Equations in Exterior 3D Domains – Kračmar, S. - Penel, P., Funkcialaj Ekvacioj. 2004, 47(3), 499-523. ISSN 0532-8721.
  • Exterior Stationary Navier-Stokes Flows in 3D with Non-Zero Velocity at Infinity: Approximation by Flows in Bounded Domains – Deuring, P. - Kračmar, S., Mathematische Nachrichten. 2004, -(269-270), 86-115. ISSN 0025-584X.

2002

  • Channel Flows and Steady Variational Inequalities of the Navier - Stokes Type – Kračmar, S., Vyčislitelnye technologii. 2002, 7(1), 83-95. ISSN 1560-7534.

2001

  • Estimates of Oseen Kernels in Weighted Lp Spaces – Kračmar, S. - Novotný, A., - Pokorný, M., Journal of the Mathematical Society of Japan. 2001, 53(1), 59-111. ISSN 0025-5645.
  • A Weak Solvability of a Steady Variational Inequality of the Navier-Stokes Type with Mixed Boundary Conditions – Kračmar, S. - Neustupa, J., Nonlinear Analysis. 2001, 25(47), 4169-4180. ISSN 0362-546X.

2000

  • Artificial Boundary Conditions for the Oseen System in 3D Exterior Domains – Deuring, P. - Kračmar, S., Analysis. 2000, 20(20), 65-90. ISSN 0174-4747.

1994

  • Modelling of Flows of Viscous Incompressible Fluid Through a Channel by Means of Variational Inequalities – Kračmar, S. - Neustupa, J., Zeitschrift für angewandte Mathematik und Mechanik. 1994, 74 637-639. ISSN 0044-2267.

Stať ve sborníku

2011

  • A Linearized System Describing Stationary Incompressible Viscous Flow around Rotating and Translating Bodies: Improved Decay Estimates of Velocity and its Gradient – Deuring, P. - Kračmar, S., - Nečasová, Š., In: Dynamical Systems and Differential Equations, DCDS Supplement 2011. Springfield: American Institute Mathematical Sciences, 2011. pp. 351-361. DCDS Supplement. ISSN 1078-0947. ISBN 978-1-60133-007-9.

2008

  • Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid around a Rotating Body – Kračmar, S. - Nečasová, Š., - Penel, P., In: Hyperbolic Problems: Theory, Numerics, Applications. Berlin: Springer, 2008. p. 775-782. ISBN 978-3-540-75711-5.

2007

  • On the strong solution to the Oseen-problem in an exterior domain in an L-q spaces – Kračmar, S. - Nečasová, Š, In: Proceedings of the 5th IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics (FMA '07). Athens: WSEAS Press, 2007. pp. 20-24. Mathematics and Computers in Science and Engineering. ISSN 1792-4308. ISBN 978-960-8457-99-7.
  • Anisotropic L2 - Estimates of Weak Solutions to the Stationary Oseen - Type Equations in R3 for a Rotating Body – Kračmar, S. - Nečasová, Š., - Penel, P., In: Kyoto Conference on the Navier - Stokes Equations and their Applications. Kyoto: Research Institute of Mathematical Sciences, Kyoto University, 2007. pp. 219-235. ISSN 1881-6193.

2006

  • Remarks on the Oseen Problem in Exterior Domains - Anisotropically Weighted Approach – Kračmar, S. - Nečasová, Š., In: Proceedings of the 2006 WSEAS/IASME International Conference on Continuum Mechanics. Athens: WSEAS Press, 2006. pp. 57-60. ISSN 1790-5095. ISBN 960-8457-44-0.
  • On the Weak Solution to the Oseen-Type Problem Arising from Flow around a Rotating Rigid Body – Kračmar, S. - Nečasová, Š., - Penel, P., In: Proceedings of the 2006 WSEAS/IASME International Conference on Continuum Mechanics. Athens: WSEAS Press, 2006. pp. 49-56. ISSN 1790-5095. ISBN 960-8457-44-0.
  • L2 Estimates of Weak Solutions in Weighted Sobolev Spaces to the Oseen-Type Equations for a Rotating Body – Kračmar, S. - Nečasová, Š., - Penel, P., In: Topical Problem of Fluid Mechanics 2006. Praha: Ústav termomechaniky AV ČR, 2006. pp. 93-96. ISBN 80-85918-98-6.
  • Lq Approach of Weak Solutions of the Oseen Flow around a Rotating Body – Kračmar, S. - Nečasová, Š., - Penel, P., In: Topical Problem of Fluid Mechanics 2006. Praha: Ústav termomechaniky AV ČR, 2006. pp. 89-92. ISBN 80-85918-98-6.

2005

  • Anisotropically Weighted Estimates of Weak Solutions to the Stationary Rotating Oseen Equations – Kračmar, S. - Nečasová, Š., - Penel, P., In: Proceedings of the 3rd IASME/WSEAS International Conference on Fluid Mechanics and Aerodynamics. Athens: WSEAS Press, 2005. pp. 12-17. ISBN 960-8457-33-5.

2002

  • On 3D Stationary Exterior Navier - Stokes Flows – Calgaro, C. - Jennequin, D. - Deuring, P., - Kračmar, S., In: Colloquium Fluid Dynamics 2002. Praha: Ústav termomechaniky AV ČR, 2002. pp. 17-18. ISBN 80-85918-77-3.

2001

  • Artificial Boundary Conditions for the Stationary Navier - Stokes System in 3D Exterior Domains – Deuring, P. - Kračmar, S., In: Proceedings of 4th Seminar Euler and Navier - Stokes Equations. Praha: AV ČR, Ústav termomechaniky, 2001. pp. 25-26. ISBN 80-85918-65-X.

2000

  • Some Recent Results on Variational Inequalities of the Navier-Stokes Type – Kračmar, S., In: Proceedings of Workshop 2000. Praha: České vysoké učení technické v Praze, 2000. pp. 32. ISBN 80-01-02229-3.

1999

  • Some Qualitative Properties of the Navier-Stokes Equations in Exterior – Kračmar, S., In: Colloquium Fluid Dynamics '99. Proceedings. Praha: AV ČR, Ústav termomechaniky, 1999. pp. 127-130. ISBN 80-85918-52-8.
  • Boundary Conditions for Incompressible Flows on Outlets of Channels and Variational Inequalities – Kračmar, S., In: Colloquium Fluid Dynamics '99. Proceedings. Praha: AV ČR, Ústav termomechaniky, 1999. pp. 123-126. ISBN 80-85918-52-8.

1998

  • Estimates of Oseen Kernels in Anisotropically Weighted Lp-Spaces and its Applications – Kračmar, S., In: Euler and Navier-Stokes Equations. Praha: AV ČR, Ústav termomechaniky, 1998. pp. 57-58. ISBN 80-85918-42-0.
  • Singular Integrals in Weighted LP Spaces and its Applications – Kračmar, S. - Novotný, A., In: Workshop 98. Praha: České vysoké učení technické v Praze, 1998. pp. 21-22.

1997

  • Modelling of Flows of Viscous Fluid in Porous Media and Fictitious Domain Method – Kračmar, S., In: Workshop 97. Praha: České vysoké učení technické v Praze, 1997, pp. 17-18.

1995

  • Simulation of Steady Flows through Channels by Variational Inequations – Kračmar, S. - Neustupa, J., In: Numerical Modelling in Continuum Mechanics. Praha: Univerzita Karlova, 1995, pp. 171-174.
  • Mathematical Models in Mechanics of Fluids – Neustupa, J. - Benda, J. - Kračmar, S. - Machalický, M., - Matušů, Š., In: Workshop 95. Praha: České vysoké učení technické v Praze, 1995, pp. 19-20.

1994

  • Mathematical Modelling in Fluid Mechanics – Neustupa, J. - Benda, J. - Kračmar, S. - Machalický, M., - Matušů, Š., In: CTU Seminar 94. Praha: České vysoké učení technické v Praze, 1994, pp. 15-16.
  • Kvalitativní vlastnosti variační nerovnice Navierova-Stokesova typu se smíšenými okrajovými podmínkami – Kračmar, S. - Neustupa, J., In: O aktuálních problémech mechaniky tekutin. Praha: AV ČR, Ústav termomechaniky, 1994, pp. 29-30.

1993

  • Some Initial-boundary Value Problems of the Navier-Stokes Type with Mixed Boundary Conditions – Kračmar, S. - Neustupa, J., In: Proceedings of the seminar numerical mathematics and practice. Praha: Jednota českých matematiků a fyziků, 1993, pp. 114-120.
  • Global Existence of Weak Solutions of a Nonsteady Varitional Inequality of the Navie-Stokes Type with Mixed Boundary Conditions – Kračmar, S. - Neustupa, J., In: Proceedings of international symposium on numerical analysis ISNA'92. Part III Contributed Papers. Praha: AV ČR, Matematický ústav, 1993, pp. 156-177.
  • Some Qualitative Features of Mathematical Models in Hydrodynamics – Neustupa, J. - Benda, J. - Kračmar, S., - Matušů, Š., In: Workshop 93. Praha: České vysoké učení technické v Praze, 1993, pp. 15-16.

Zpráva

1993

  • Globální existence slabých řešení variačních nerovnic Navierova-Stokesova typu – Kračmar, S. - Neustupa, J., [Research Report] 1993.
  • Modelování proudění vazké nestlačitelné tekutiny v kanálu pomocí variačních nerovnic – Neustupa, J. - Kračmar, S., [Research Report] 1993.
  • Modelling of Fluid Flows in a Channel by Means of Variational Inequalities – Kračmar, S. - Neustupa, J., [Research Report] 1993.

Kvalifikační zpráva

2000

  • Kvalitativní vlastnosti některých matematických modelů prodění vazké nestlačitelné tekutiny – Kračmar, S., Praha: Defense date 2000-12-07. Associate Professor Thesis. České vysoké učení technické v Praze, Fakulta jaderná a fyzikálně inženýrská.
  • Kvalitativní vlastnosti některých matematických modelů proudění vazké nestlačitelné tekutiny – Kračmar, S., Praha: Defense date 2000-12-07. Associate Professor Thesis. České vysoké učení technické v Praze, Fakulta strojní.

Monografie, skripta, učebnice, encyklopedie

2016

  • Navier-Stokes Flow Around a Rotating Obstacle – Nečasová, Š. - Kračmar, S., Paris: Atlantis Press, 2016. Atlantis Briefs in Differential Equations. vol. 3. ISSN 2405-6405. ISBN 978-94-6239-230-4.

1998

  • Matematika I – Neustupa, J. - Kračmar, S., 3 ed. Praha: Czech Technical University in Prague, 1998.
  • Sbírka příkladů z Matematiky I – Neustupa, J. - Kračmar, S., 2 ed. Praha: Czech Technical University in Prague, 1998.
  • Mathematics II – Neustupa, J. - Kračmar, S., Praha: Czech Technical University in Prague, 1998. ISBN 80-01-01860-1.
  • Problems in Mathematics I – Neustupa, J. - Kračmar, S., Praha: Czech Technical University in Prague, 1998. ISBN 80-01-01862-8.

1995

  • Sbírka příkladů z Matematiky 1 – Neustupa, J. - Kračmar, S., Praha: České vysoké učení technické v Praze, Fakulta strojní, 1995. ISBN 80-01-01310-4.
  • Programovací jazyk C – Vogel, J. - Kračmar, S., Praha: Czech Technical University in Prague, 1995. ISBN 80-01-01375-8.

Kapitola v knize

1999

  • Estimates of Three-Dimensional Oseen Kernels in Weighted L[p] – Kračmar, S. - Novotný, A., - Pokorný, M., In: Nonlinear Applied Analysis. New York: Plenum Press, 1999. p. 281-316. ISBN 0-306-46303-2.