Resume

  • 02/2018
    -
    present

    Comenius University in Bratislava

    Assistant Professor

    Faculty of Mathematics, Physics and Informatics
    Division of Numerical Mathematics

    2022 L'Oréal-UNESCO For Women in Science Slovakia Laureat

    01/2020 - 08/2022 maternity leave

    2021 Independent researcher (VKS IIa)

    2018 Seal of Excellence by the European Comission
    for the proposal submitted under H2020-MSCA-IF-2017

  • 03/2018 - present
    &
    10/2017 - 01/2018

    Czech Academy of Sciences

    PostDoc researcher

    Institute of Mathematics

    01/2024 - present   GAČR Grant 24-11034S

    01/2021 - 12/2023   GAČR Grant 21-02411S

    03/2018 - 12/2020   GAČR Grant 18-05974S

    10/2017 - 01/2018   ERC Advanced Grant MATHEF (320078)

    personal webpage

  • 01/2016 - 09/2017
    &
    09/2012 - 12/2012

    Johannes Gutenberg University Mainz

    Research assistant

    FB 08: Institute of Mathematics

  • 12/2012
    -
    12/2015

    IRTG 1529 Mathematical Fluid Dynamics

    PhD student

    Johannes Gutenberg University Mainz
    Technical University Darmstadt
    Waseda University in Tokyo

    German Research Foundation (DFG) scholarship

Academic degrees

  • 2015
     
    Dr. rer. nat.

    Johannes Gutenberg University Mainz

    Doctor of Natural Sciences
    in Mathematics

    summa cum laude

    2016 Prize of the Faculty for excellent dissertation thesis

  • 2012
     
    Mgr.

    Comenius University in Bratislava

    Master in Mathematics

    with honours

    2012 Award of the Rector for excellent master thesis

  • 2010
     
    Bc.

    Comenius University in Bratislava

    Bachelor in Mathematics

    with honours

Download CV

Research

List of publications

Book
  1. E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová, B. She: Numerical analysis of compressible fluid flows,
    Series: Modeling, Simulation, and Applications, Springer, 2021, book's SpringerLink page
Articles
  1. D. Basarić, M. Lukáčová-Medvid’ová, H. Mizerová, B. She, Y. Yuan: Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system,
    Math. Comp. 92, 2023, pp. 2543-2574, DOI:10.1090/mcom/3852
  2. D. Basarić, E. Feireisl, H. Mizerová: Conditional regularity for the Navier-Stokes-Fourier system with Dirichlet boundary conditions,
    J. Differ. Equations 365, 2023, pp. 359-378, DOI:10.1016/j.jde.2023.04.026
  3. D. Basarić, E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová, Y. Yuan: Penalization method for the Navier-Stokes-Fourier system,
    ESAIM: M2AN 56 (6), 2022 DOI:10.1051/m2an/2022063
  4. E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová, B. She: On the convergence of a finite volume method for the Navier-Stokes-Fourier system,
    IMA J. Numer. Anal. 41 (4), 2021, pp. 2388-2422, DOI:10.1093/imanum/draa060, full-text
  5. H. Mizerová, B. She: Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier-Stokes system,
    J. Sci. Comput. 84 (25), 2020, DOI:10.1007/s10915-020-01278-x, view-only full-text
  6. E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová: A finite volume scheme for the Euler system inspired by the two velocities approach,
    Numer. Math. 144, 2020, pp. 89–132, DOI:10.1007/s00211-019-01078-y
  7. E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová: K-convergence as a new tool in numerical analysis,
    IMA J. Numer. Anal. 40 (4), 2020, pp. 2227–2255, DOI:10.1093/imanum/drz045
  8. E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová: Convergence of finite volume schemes for the Euler equations via dissipative measure–valued solutions,
    Found. Comput. Math. 20, 2020, pp. 923-966, DOI:10.1007/s10208-019-09433-z
  9. E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová, B. She: Convergence of a finite volume scheme for the compressible Navier-Stokes system,
    ESAIM: M2AN 53 (6), 2019, pp. 1957-1979, DOI:10.1051/m2an/2019043
  10. H. Mizerová, B. She: A conservative scheme for the Fokker-Planck equation with applications to viscoelastic polymeric fluids,
    J. Comput. Phys. 374, 2018, pp. 941–953, DOI:10.1016/j.jcp.2018.08.015
  11. P. Gwiazda, M. Lukáčová-Medvid’ová, H. Mizerová, A. Świerczewska-Gwiazda: Existence of global weak solutions to the kinetic Peterlin model,
    Nonlinear Anal.-Real 44, 2018, pp. 465-478, DOI:10.1016/j.nonrwa.2018.05.016
  12. M. Lukáčová-Medvid’ová, H. Mizerová, Š. Necasová, M. Renardy: Global existence result for the generalized Peterlin viscoelastic model,
    SIAM J. Math. Anal. 49-4, 2017, pp. 2950-2964, DOI:10.1137/16M1068505
  13. M. Lukáčová-Medvid’ová, H. Mizerová, H. Notsu, M. Tabata: Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part I: A nonlinear scheme,
    ESAIM: M2AN 51, 2017, pp. 1637-1661, DOI:10.1051/m2an/2016078
  14. M. Lukáčová-Medvid’ová, H. Mizerová, H. Notsu, M. Tabata: Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part II: A linear scheme,
    ESAIM: M2AN 51, 2017, pp. 1663-1689, DOI:10.1051/m2an/2017032
  15. M. Lukáčová-Medvid’ová, H. Mizerová, B. She, J. Stebel: Error analysis of finite element and finite volume methods for some viscoelastic fluids,
    J. Numer. Math. 24 (2), 2016, pp. 105-123, DOI:10.1515/jnma-2014-0057
  16. M. Lukáčová-Medvid’ová, H. Mizerová, Š. Necasová: Global existence and uniqueness result for the diffusive Peterlin viscoelastic model,
    Nonlinear Anal.-Theor. 120, 2015, pp. 154–170, DOI:10.1016/j.na.2015.03.001
Book chapter
  1. M. Lukáčová-Medvid’ová, H. Mizerová, B. She: New invariant domain preserving finite volume schemes for compressible flows,
    In: Munoz-Ruiz M.L., Parés C., Russo G. (eds) Recent Advances in Numerical Methods for Hyperbolic PDE Systems.
    SEMA SIMAI Springer Series, vol. 28, Springer, Cham, 2021, pp. 131-153, DOI:10.1007/978-3-030-72850-2_6
Preprints
Thesis
  1. H. Mizerová: Analysis and numerical solution of the Peterlin viscoelastic model, Johannes Gutenberg University Mainz, 2015, pdf

Grants and received funding

  1. 01/2024 - 12/2027 Numerical analysis in compressible fluid dynamics (VEGA 1/0709/24), principal investigator
  2. 01/2024 - 12/2026 Dissipative systems in fluid dynamics (GAČR 24-11034S), team member
  3. 01/2023 - 12/2026 Qualitative properties of nonlinear differential equations of both integer and non-integer orders (VEGA 1/0084/23), team member
  4. 01/2021 - 12/2023 Solving ill posed problems in the dynamics of compressible fluids (GAČR 21-02411S), team member
  5. 01/2018 - 12/2020 Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics (GAČR 18-05974S), team member
  6. 10/2017 - 01/2018 Mathematical Thermodynamics of Fluids (ERC Advanced Grant of Eduard Feireisl), PostDoc researcher
  7. 04/2017 - 09/2017 Uniformly stable numerical schemes for multiscale weakly compressible flows (IURF JGU Mainz), PostDoc researcher
  8. 02/2017 - 03/2017 Simons Semester CrossField PDEs in Banach center IMPAN, Junior Simons Professorship
  9. 07/2016 travel grant from German Academic Exchange Service DAAD
  10. 02/2015 - 09/2017 TRR 146 Multiscale Simulation Methods for Soft Matter Systems, associate member of IRTG
  11. 12/2012 - 12/2015 IRTG 1529 Mathematical Fluid Dynamics, PhD scholarship

Invitations and research stays

  1. 06/2024 Workshop Analysis of Dissipation in Inviscid and Compressible Fluid Dynamics, University of Konstanz, Germany
  2. 03/2024 Conference Algoritmy 2024, Podbanské, Slovakia
  3. 12/2023 Conference Žijem vedu naživo 2023, Bratislava, Slovakia
  4. 02/2021 Technical University Darmstadt: AG Numerik Seminar (via Zoom)
  5. 06/2019 Conference NumHyp 2019: Numerical methods for hyperbolic problems, Málaga, Spain
  6. 01/2019 RTG Energy, Entropy, and Dissipative Dynamics, RWTH Aachen University, Germany
  7. 05/2018 Workshop on Mathematical Fluid Dynamics, Bad Boll, Germany
  8. 11/2016 KI-Net Young Researches Workshop: Stochastic and deterministic methods in kinetic theory, Durham, North Carolina
  9. 11/2016 Oberwolfach Seminar: Different Mathematical Perspectives on Description of Unresolved Scales in Multiscale Systems, Oberwolfach, Germany
  10. 10/2016 Conference CoMFoS16: Mathematical Analysis of Continuum Mechanics and Industrial Applications II, Fukuoka, Japan
  11. 03/2016 Conference Algoritmy 2016, Podbanské, Slovakia
  1. 01, 05/2018; 01, 03/2019 Johannes Gutenberg University Mainz, Germany
  2. 02/2017 - 03/2017 Polish Academy of Sciences, Banach center, Warsaw, Poland
  3. 10/2016 Kanazawa University, Japan
  4. 03/2014, 09/2016 Czech Academy of Sciences, Prague, Czechia
  5. 09/2013 - 02/2014, 03/2015 Waseda University in Tokyo, Japan

Editorial work

  1. from 04/2018 Editorial board member of Applications of Mathematics (publisher's webpage)

Teaching

Teaching
Comenius University in Bratislava (in Slovak)

zimný semester

  1. Integrálne transformácie a špeciálne funkcie (2023/24)
  2. Metóda konečných prvkov (2) (2023/24)
  3. Numerická matematika (2) (2023/24, 2022/23)
  4. Variačné metódy diferenciálnych úloh (2022/23, 19/20, 18/19)
  5. Matematická analýza (1) (2022/23)
  6. Numerické metódy (1) (2019/20, 2018/19)
  7. Obyčajné diferenciálne rovnice (2018/19)

letný semester

  1. Matematická analýza (2) (2023/24, 22/23)
  2. Metóda konečných prvkov (1) (2022/23)
  3. Numerické metódy (2) (2018/19)
  4. Numerická matematika (1) (2018/19)
Johannes Gutenberg University Mainz (in German)
  1. Numerik gewöhnlicher Differentialgleichungen (WS 16/17)
  2. Grundlagen der Numerik (SS 15/16)
  3. Hauptseminar Komplexe Flüssigkeiten (SS 13/14)
  4. Funktionentheorie und Differentialgleichungen (WS 12/13)
Students
Bachelor theses
  1. Veronika Rosinská: Orthogonal polynomials in numerical mathematics (2019/20)
  2. Samuel Penxa: Numerical solution of convection-diffusion problems (2018/19)
Master theses
  1. Alžbeta Čierťaská: Mathematical models of information spreading through social networks (2019/20)
  2. Laura Stracová: Numerical solution of the Fokker-Planck equation in socio-economic models (2019/20)

Contact

hana.mizerova(at)fmph.uniba.sk

Fakulta matematiky, fyziky a informatiky
Mlynská dolina M,
842 48 Bratislava, Slovakia
Office: M 238

+421 2 602 95 308