Publikationen

PREPRINTS

SCIENTIFIC JOURNALS

  • The effect of turbulence on the accretional growth of graupel (with Jost A, Szakall M., Diehl K., Mitra S. K., Hundertmark A., Klug B. S., Borrmann S.),  Journal of  the Athmospheric Sciences, 2019, published online  doi.org/10.1175/JAS-D-18-0200.1
  • On the convergence of the fixed point iterations for geometry in a fluid-structure interaction problem, Journal of Differential Equations, Vol. 267, Issue 12, 2019, p. 7002-70462, published online doi.org/10.1016/j.jde.2019.07.009
  • A rescaling algorithm for the numerical solution to the porous media equation in a two-component domain (with J. Filo), accepted in Communications in Nonlinear Science and Numerical Simulation, published online 31 of March 2016, doi:10.1016/j.cnsns.2016.03.011
  •   On the existence of weak solution to the coupled  fluid-structure interaction problem for non-Newtonian shear dependent fluid (with M. Lukacova, S. Necasova), Journal of the Mathematical Society of Japan, Vol. 68, No 1, January 2016, 193-243, (accepted 2014), doi:10.2969/jmsj/06810193, preprint
  •  Kinematic splitting algorithm for fluid-structure interaction in hemodynamics (with M. Lukacova, G. Rusnakova), Computer Methods in Applied Mechanics and Engineering 265, 2013, 83-106, sciencedirect
  •  Numerical simulation of glottal flow (with R. Lehmann, M. Hess, F. Mueller), Computers in Biology and Medicine 43/12, 2013, 2177-2185, sciencedirect
  • Numerical study of shear-dependent non-Newtonian fluids in compliant vessels (with M. Lukacova), Computers and Mathematics with Applications 60, 2010,  572-590 sciencedirekt
  • Large time step finite volume evolution Galerkin methods (with M. Lukacova, F. Prill), Journal of Scientific Computing,  Volume 48 Issue 1-3, 2011, pp 227-240, springerlink, published online 2010, DOI:10.1007/s10915-010-9443-5
  • 2D Navier-Stokes Equations in a Time Dependent Domain with Neumann Type Boundary Conditions (with J. Filo), Journal of Mathematical Fluid Mechanics 10, 2010, 1 - 46 springerlink,published online 2008,
  • Numerical modelling of shear-thinning non-Newtonian flows in compliant vessels (with M. Lukacova), Int. J. Numer. Meth. Fluids, 56(8), 2008, 1409-1415 wiley_library
  • Numerical study of shear-dependent non-Newtonian fluids in compliant vessels (with M. Lukacova), Report TUHH, 2007, pdf
  • Mathematical models of flow in elastic tubes, Journal of ELECTRICAL ENGINEERING, Vol. 55, No 12/s, 2004, 32-35

BOOK CHAPTERS

  • On the weak solution of the fluid-structure interaction problem for shear-dependent fluid (with M.Lukacova, S. Necasova), Recent Developments of Mathematical Fluid Mechanics edited by H. Amann, Y. Giga, H.Kozono, H.Okamoto and M.Yamazaki, Series of Advanced in Mathematical Fluid Mechanics, Birkhauser Verlag, ISBN 978-3-0348-0939-9, © 2016  (accepted 2014)
  • Fluid-structure interaction for shear-dependent fluids non-Newtonian fluids, Topics in mathematical modeling and analysis,  (with M. Lukacova, G. Rusnakova), Jindrich Necas Center for Mathematical Modeling, Lecture notes, Vol. 7, Part IV,  2012, 109-158

THESIS

  • Habilitation thesis: Mathematical Modelling of Nonlinear Physiological Flows, Johannes Gutenberg- University Mainz, 2014
  • Dissertation thesis: 2D Navier Stokes Equations in  a Time-Dependent Domain, Comenius University, Bratislava, 2007
  • Diploma Thesis: Some One- and Multi-Step Methods for Ordinary Differential Equations, (in slovak), Comenius University, Bratislava, 2002

 

CHOSEN PROCEEDINGS 

  • Numerical simulation of glottal flow in surgically changed larynx (with R. Lehmann, M.Hess, F. Müller), Proceedings in Applied Mathematics and Mechanics 2016, Ed. Gesellschaft für Angewandte Mathematik und Mechanik, Vol. 16, Issue 1, p. 843–844, DOI: 10.1002/pamm.201610410
  • Mathematical Modelling and Numerical Simulation of Blood Flow in Compliant Vessels (with M. Lukáčová-Medviďová),
    Proceedings of ECCOMAS 2008, Venice 2008
  • Numerical Modelling of Shear-Thinning non-Newtonian Flow in Compliant Vessels (with M. Lukáčová-Medviďová), Proceedings of ICIAM 2007, Zürich 2007
  • Numerical Modelling of Complex Flow in Compliant Vessels (with M. Lukáčová-Medviďová), Proceedings of the ICFD Conference Reading, 2007