Mark Dostalík

Education

2017–2021 Ph.D. degree in the study programme Mathematical and computer modelling
Charles University, Faculty of Mathematics and Physics
thesis: Nonlinear stability of steady states in thermomechanics of viscoelastic fluids
supervisor: Mgr. Vít Průša, Ph.D.
2016 graduate degree in the study programme Mathematical and computer modelling in physics
Charles University, Faculty of Mathematics and Physics
thesis: Influence of material parameters on stability of thermal convection
supervisor: doc. RNDr. Ctirad Matyska, DrSc.
2013 undergraduate degree in the study programme General physics
Charles University, Faculty of Mathematics and Physics
thesis: Weak formulation of equations describing fluid flows, in Czech
supervisor: doc. Mgr. Milan Pokorný, Ph.D.

Employment

2021– postdoctoral researcher at the Mathematical Institute of Charles University
2016–2017 machine learning scientist and Python developer at SpaceKnow, Inc.

Publications

S. Boyaval, M. Dostalík: Non-isothermal viscoelastic flows with conservation laws and relaxation (2021) [Submitted.]
M. Dostalík, C. Matyska, V. Průša: Weakly nonlinear analysis of Rayleigh–Bénard convection problem in extended Boussinesq approximation, Applied Mathematics and Computation, 408:126374 (2021)
M. Dostalík, V. Průša, K. R. Rajagopal: Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature, Continuum Mechanics and Thermodynamics, 33:515–543 (2021)
M. Dostalík, J. Málek, V. Průša, E. Süli: A Simple Construction of a Thermodynamically Consistent Mathematical Model for Non-Isothermal Flows of Dilute Compressible Polymeric Fluids, Fluids, 5, 133 (2020)
M. Dostalík, V. Průša, J. Stein: Unconditional finite amplitude stability of a viscoelastic fluid in a mechanically isolated vessel with spatially non-uniform wall temperature, Mathematics and Computers in Simulation (2020) [In press.]
M. Dostalík, V. Průša, T. Skřivan: On diffusive variants of some classical viscoelastic rate-type models, AIP Conference Proceedings 2107, 020002 (2019)
M. Dostalík, V. Průša, K. Tůma: Finite Amplitude Stability of Internal Steady Flows of the Giesekus Viscoelastic Rate-Type Fluid , Entropy, 21, 1219 (2019)

Scientific activities

6/2021 8th European Congress of Mathematics, Portorož, Slovenia (talk)
9–12/2020 research stay at Laboratoire d’hydraulique Saint-Venant under the supervision of Sébastien Boyaval, Ph.D.
11/2020 online workshop Multiscale Models for Complex Fluids: Modeling and Analysis, (talk)
7/2019 BIFD 2019, University of Limerick, Limerick, Ireland (talk)
7/2019 Equadiff 2019, Leiden University, Leiden, Netherlands (talk)
5/2019 EMS School Mathematical Aspects of Fluid Flows, Kácov, Czechia (talk)
9/2018 12th European Fluid Mechanics Conference, TU Wien, Vienna, Austria (talk)
8/2018 Analysis and Advanced Numerical Methods for Partial Differential Equations (not only) for Junior Scientists, Särkisaari, Finland (talk)
7/2015 AARMS-PIMS Summer School in Differential Equations and Numerical Analysis, Dalhousie University, Halifax, Nova Scotia, Canada (participation)

Scientific projects

2020–2021 Czech Science Foundation EXPRO 20-11027X, Mathematical analysis of partial differential equations describing far-from-equilibrium open systems in continuum mechanics (team member)
principal investigator: RNDr. Miroslav Bulíček, Ph.D.
2019–2021 Charles University Grant Agency 1652119, Analysis of a mathematical model of an incompressible viscoelastic rate-type fluid with stress diffusion (principal investigator)
2018–2020 Czech Science Foundation 18-12719S, Thermodynamical and mathematical analysis of complex fluids (team member)
principal investigator: prof. RNDr. Josef Málek, CSc., DSc.
2018–2021 Charles University, University Research Centre UNCE/SCI/023, University Centre for Mathematical Modelling, Applied Analysis and Computational Mathematics (team member)
principal investigator: prof. RNDr. Josef Málek, CSc., DSc.

Awards

6/2020 SIAM Student Chapter Certificate of Recognition
5/2016 winner of the 17th SVOČ competition (student competition organized by Czech and Slovak mathematical societies)
category: Applied mathematics – mathematical modelling of dynamical systems

Responsibilities

2020–2021 President of SIAM Student Chapter Prague
2018–2020 Vice President of SIAM Student Chapter Prague