Hana Mizerová

Hana Šmitala Mizerová
Associate Professor · Faculty of Mathematics, Physics and Informatics · Comenius University in Bratislava
mathematical fluid dynamics · numerical analysis of PDEs · finite volume and finite element methods
hana.mizerova@fmph.uniba.sk
ORCID · Scopus · Web of Science · Google Scholar · ResearchGate · CV (PDF) ↓

CV

Academic Positions
  • 05/2026 — present Associate Professor
    Faculty of Mathematics, Physics and Informatics · Comenius University in Bratislava
    since 09/2024 · Head of Division of Mathematical Analysis and Numerical Mathematics
  • 02/2018 — 04/2026 Assistant Professor
    Faculty of Mathematics, Physics and Informatics · Comenius University in Bratislava
    2022 · L’Oréal–UNESCO For Women in Science Laureate
    2022 · Rector's Academic Commendation
    2021 · Independent researcher (VKS IIa)
  • 03/2018 — present Postdoctoral Researcher
    Institute of Mathematics · Czech Academy of Sciences
  • 01/2016 — 09/2017 Postdoctoral Researcher
    Johannes Gutenberg University Mainz
    02/2017 · Junior Simons Professor · Simons Semester Cross-Field PDEs · Banach Center, Warsaw
Degrees
  • 2026 · doc. Habilitation in Mathematics
    Comenius University in Bratislava
  • 2015 · Dr. rer. nat. Doctor of Natural Sciences in Mathematics
    Johannes Gutenberg University Mainz · summa cum laude
    DFG IRTG 1529 Mathematical Fluid Dynamics · scholarship
    2016 · Prize of the Faculty for excellent dissertation thesis
  • 2012 · Mgr. Master in Mathematics
    Comenius University in Bratislava · with honours
    2012 · Award of the Rector for excellent master thesis
  • 2010 · Bc. Bachelor in Mathematics
    Comenius University in Bratislava · with honours

Research

Publications
Articles
E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová, C. Yu. Monte Carlo method and the random isentropic Euler system
Stochastic Partial Differential Equations: Analysis and Computations · 2026 · DOI
H. Mizerová. Stability of strong solutions to the full compressible magnetohydrodynamic system with non-conservative boundary conditions
Journal of Mathematical Fluid Mechanics · 2025 · DOI
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
Mathematics of Computation · 2023 · DOI
D. Basarić, E. Feireisl, H. Mizerová. Conditional regularity for the Navier–Stokes–Fourier system with Dirichlet boundary conditions
Journal of Differential Equations · 2023 · DOI
D. Basarić, E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová, Y. Yuan. Penalization method for the Navier–Stokes–Fourier system
ESAIM: Mathematical Modelling and Numerical Analysis · 2022 · DOI
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 Journal of Numerical Analysis · 2021 · DOI
H. Mizerová, B. She. Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier–Stokes system
Journal of Scientific Computing · 2020 · DOI
E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová. A finite volume scheme for the Euler system inspired by the two velocities approach
Numerische Mathematik · 2020 · DOI
E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová. K-convergence as a new tool in numerical analysis
IMA Journal of Numerical Analysis · 2020 · DOI
E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová. Convergence of finite volume schemes for the Euler equations via dissipative measure–valued solutions
Foundations of Computational Mathematics · 2020 · DOI
E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová, B. She. Convergence of a finite volume scheme for the compressible Navier–Stokes system
ESAIM: Mathematical Modelling and Numerical Analysis · 2019 · DOI
H. Mizerová, B. She. A conservative scheme for the Fokker–Planck equation with applications to viscoelastic polymeric fluids
Journal of Computational Physics · 2018 · DOI
P. Gwiazda, M. Lukáčová-Medvid’ová, H. Mizerová, A. Świerczewska-Gwiazda. Existence of global weak solutions to the kinetic Peterlin model
Nonlinear Analysis: Real World Applications · 2018 · DOI
M. Lukáčová-Medvid’ová, H. Mizerová, Š. Nečasová, M. Renardy. Global existence result for the generalized Peterlin viscoelastic model
SIAM Journal on Mathematical Analysis · 2017 · DOI
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: Mathematical Modelling and Numerical Analysis · 2017 · DOI
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: Mathematical Modelling and Numerical Analysis · 2017 · DOI
M. Lukáčová-Medvid’ová, H. Mizerová, B. She, J. Stebel. Error analysis of finite element and finite volume methods for some viscoelastic fluids
Journal of Numerical Mathematics · 2016 · DOI
M. Lukáčová-Medvid’ová, H. Mizerová, Š. Nečasová. Global existence and uniqueness result for the diffusive Peterlin viscoelastic model
Nonlinear Analysis: Theory, Methods & Applications · 2015 · DOI
Book
E. Feireisl, M. Lukáčová-Medvid’ová, H. Mizerová, B. She. Numerical analysis of compressible fluid flows
Modeling, Simulation and Applications · Springer · 2021 · SpringerLink
Book Chapters
H. Mizerová. Convergence of entropy-stable finite volume approximations of compressible Euler equations
In Mathematical Fluid Dynamics – Hyperbolic Balance Laws across the Scales · Lecture Notes in Mathematics · Springer · 2026
M. Lukáčová-Medvid’ová, H. Mizerová, B. She. New invariant domain preserving finite volume schemes for compressible flows
In Recent Advances in Numerical Methods for Hyperbolic PDE Systems · SEMA SIMAI Springer Series · Springer · 2021 · DOI
Preprint
H. Mizerová, K. Tvrdá. A new way of deriving implicit Runge–Kutta methods based on repeated integrals
arXiv:2404.16665 · 2024 · arXiv
Theses
Lax Equivalence Principle in Compressible Fluid Dynamics
Habilitation thesis · Comenius University in Bratislava · 2025
Analysis and numerical solution of the Peterlin viscoelastic model
Doctoral thesis · Johannes Gutenberg University Mainz · 2015 · PDF
Research Activities
Grants
2024 – 2027VEGA 1/0709/24 · principal investigator
2024 – 2028APVV-23-0039 · team member
2024 – 2026GAČR 24-11034S · team member
2023 – 2024VEGA 1/0084/23 · team member
2021 – 2023GAČR 21-02411S · team member
2018 – 2020GAČR 18-05974S · team member
2017/18ERC Advanced Grant MATHEF (320078) · postdoctoral researcher
2017IURF JGU Mainz · postdoctoral researcher
2016DAAD Travel Grant · Fukuoka, Japan
Invited Talks
03/2027 Conference Regularity, effective behavior and asymptotic flows for models of fluid mechanics · CIRM, Luminy, France
07/2026 Conference AIMS 2026, Special Session New frontiers in the compressible mathematical fluid mechanics and thermodynamics · Athens, Greece
09/2025 Summer School Mathematical Fluid Dynamics: Hyperbolic Balance Laws across the Scales · Hirschegg, Austria
06/2024 Workshop Analysis of Dissipation in Inviscid and Compressible Fluid Dynamics · Konstanz, Germany
03/2024 Conference Algoritmy 2024, Minisymposium Advanced numerical methods for dissipative systems · Podbanské, Slovakia
12/2023 Žijem vedu naživo 2023 · Bratislava, Slovakia
02/2021 AG Numerik Seminar · Technical University Darmstadt, Germany (online)
06/2019 Conference NumHyp 2019: Numerical Methods for Hyperbolic Problems · Málaga, Spain
01/2019 Seminar of RTG Energy, Entropy, and Dissipative Dynamics · RWTH Aachen University, Germany
05/2018 Workshop on Mathematical Fluid Dynamics · Bad Boll, Germany
10/2016 Conference CoMFoS16: Mathematical Analysis of Continuum Mechanics and Industrial Applications II · Fukuoka, Japan
03/2016 Conference Algoritmy 2016, Special Session Numerics for conservation laws and nonlinear convection-diffusion problems · Podbanské, Slovakia
Invited Participation
11/2016 KI-Net Young Researchers Workshop: Stochastic and Deterministic Methods in Kinetic Theory · Durham, NC, USA
11/2016 Oberwolfach Seminar: Different Mathematical Perspectives on the Description of Unresolved Scales in Multiscale Systems · Oberwolfach, Germany
Editorial Work
since 2018Applications of Mathematics · editorial board member

Teaching

Selected Courses
Numerical Analysis of Partial Differential Equations
Numerical Mathematics
Finite Element Method
Variational Methods for Differential Equations
Integral Transforms and Special Functions
Mathematical Analysis
Supervision
Master's Theses
Igor Andel — Influence of boundary conditions on the accuracy of finite element solutions of the Navier–Stokes equations
Jakub Tuchyňa — Numerical comparison of stabilization methods for the Navier–Stokes equations
Michaela Kyseľová — Numerical solution of viscoelastic fluid flow models in FreeFEM · 2026
Alžbeta Čierťaská — Mathematical models of information spreading through social networks · 2020
Laura Stracová — Numerical solution of the Fokker–Planck equation in socio-economic models · 2020
Bachelor's Theses
Matej Šabík — tba
Vojtech Fukas — Numerical analysis of an innovation diffusion model · 2026
Veronika Rosinská — Orthogonal polynomials in numerical mathematics · 2020
Samuel Penxa — Numerical solution of convection–diffusion problems · 2019