Mario Bukal

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Očisti sve

Na FER-u postoji više zaposlenika s imenom

izv. prof. dr. sc. Mario Bukal

Izvanredni profesor, Zavod za primijenjenu matematiku

Konzultacije:

Zimski semestar 2024./25. - utorkom u 14:00 (D-153-2).

Lokacija:

D-153-2

Telefon:

6129-959

Telefon kućni:

459

E-mail:

E-mail

Bibliografija (CROSBI)
Izabrane publikacije
Životopis
Nastava
Područja istraživanja
Osobni podaci
Izabrani projekti

The concavity of generalized entropy powers

Bukal, Mario
ostalo, 2022.
Ieee transactions on information theory

Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid - structure interaction problem

Bukal, Mario ; Muha, Boris
izvorni znanstveni rad, 2022.
Nonlinearity

Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer- Spohn equation using the Hellinger distance

Bukal, Mario
izvorni znanstveni rad, 2021.
Discrete and continuous dynamical systems

Rigorous Derivation of a Linear Sixth-Order Thin-Film Equation as a Reduced Model for Thin Fluid-Thin Structure Interaction Problems

Bukal, Mario ; Muha, Boris
izvorni znanstveni rad, 2021.
Applied mathematics and optimization

A Review on Rigorous Derivation of Reduced Models for Fluid–Structure Interaction Systems

Bukal, Mario ; Muha, Boris
izvorni znanstveni rad, 2020.

Score matching based assumed density filtering with the von Mises-Fisher distribution

Bukal, Mario ; Marković, Ivan ; Petrović, Ivan
izvorni znanstveni rad, 2017.

Derivation of homogenized Euler–Lagrange equations for von Kármán rods

Bukal, Mario ; Pawelczyk Matthäus ; Velčić, Igor
izvorni znanstveni rad, 2017.
Journal of differential equations

Extended Information Filter on Matrix Lie Groups

Ćesić, Josip ; Marković, Ivan ; Bukal, Mario ; Petrović, Ivan
izvorni znanstveni rad, 2017.
Automatica

On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure

Bukal, Mario ; Velčić, Igor
izvorni znanstveni rad, 2017.
Calculus of variations and partial differential equations

Multitarget tracking with the von Mises-Fisher filter and probabilistic data association

Marković, Ivan ; Bukal, Mario ; Ćesić, Josip ; Petrović, Ivan
izvorni znanstveni rad, 2016.
Journal of advances in information fusion

A family of fourth-order q-logarithmic equations

Bukal, Mario
izvorni znanstveni rad, 2016.
Journal of mathematical analysis and applications

Direction-only tracking of moving objects on the unit sphere via probabilistic data association

Marković, Ivan ; Bukal, Mario ; Ćesić, Josip ; Petrović Ivan
izvorni znanstveni rad, 2014.

Composite distance based approach to von Mises mixture reduction

Bukal, Mario ; Marković, Ivan ; Petrović, Ivan
izvorni znanstveni rad, 2014.
Information fusion

Entropy stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation

Bukal, Mario ; Emmrich, Etienne ; Jüngel, Ansgar
izvorni znanstveni rad, 2014.
Numerische Mathematik

Lyapunov functionals for fourth-order lubrication equations

Bukal, Mario ; Maurette, Manuel
izvorni znanstveni rad, 2013.

A multidimensional nonlinear sixth-order quantum diffusion equation

Bukal, Mario ; Jüngel, Ansgar ; Matthes, Daniel
izvorni znanstveni rad, 2013.
Annales de l institut henri poincare-analyse non lineaire

Entropies for radially symmetric higher-order nonlinear diffusion equations

Bukal, Mario ; Jüngel, Ansgar ; Matthes, Daniel
izvorni znanstveni rad, 2011.
Communications in mathematical sciences

M. Bukal, B. Muha. Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid - structure interaction problem. Nonlinearity, 35 (2022), 8; 4695-4726.
M. Bukal. The concavity of generalized entropy powers. IEEE Trans. Information Theory 68 (2022), 7054 - 7059.
M. Bukal. Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer-Spohn equation using the Hellinger distance. Discr. Cont. Dyn. Sys. - A 41 (2021), 3389-3414.
M. Bukal; B. Muha. Rigorous Derivation of a Linear Sixth-Order Thin-Film Equation as a Reduced Model for Thin Fluid-Thin Structure Interaction Problems. Appl. Math. Optim. (2020). (arXiv)
Bukal, Mario; Pawelczyk Matthäus; Velčić, Igor. Derivation of homogenized Euler–Lagrange equations for von Kármán rods. // Journal of differential equations. 262 (2017) , 11; 5565-5605 (članak, znanstveni).
Bukal, Mario; Velčić, Igor. On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure. // Calculus of variations and partial differential equations. 56 (2017) ; 59-1-59-41 (članak, znanstveni).
Ćesić, Josip; Marković, Ivan; Bukal, Mario; Petrović, Ivan. Extended Information Filter on Matrix Lie Groups. // Automatica. 82 (2017) ; 226-234 (članak, znanstveni).
Bukal, Mario. A family of fourth-order q-logarithmic equations. // Journal of mathematical analysis and applications. 438 (2016) , 1; 142-161 (članak, znanstveni).
Bukal, Mario; Emmrich, Etienne; Jüngel, Ansgar. Entropy stable and entropy-dissipative approximations of a fourth-order quantum diffusion equation. // Numerische Mathematik. 127 (2014) , 2; 365-396 (članak, znanstveni).
Bukal, Mario; Marković, Ivan; Petrović, Ivan. Composite distance based approach to von Mises mixture reduction. // Information fusion. 20 (2014) ; 136-145 (članak, znanstveni).
Bukal, Mario; Jüngel, Ansgar; Matthes, Daniel. A multidimensional nonlinear sixth-order quantum diffusion equation. // Annales de l Institut Henri Poincare-analyse non lineaire. 30 (2013) , 2; 337-365 (članak, znanstveni).
Bukal, Mario; Jüngel, Ansgar; Matthes, Daniel. Entropies for radially symmetric higher-order nonlinear diffusion equations. // Communications in mathematical sciences. 9 (2011) , 2; 353-382 (članak, znanstveni).

Životopis

Research interests

mathematical analysis and numerical methods of diffusion equations and cross-diffusion systems
homogenization and dimension reduction in continuum mechanics
information fusion with applications to robotic systems

Current position

assistant professor at University of Zagreb, Faculty of Electrical Engineering and Computing (since December 2016)

Previous positions

research associate - postdoc at University of Zagreb, Faculty of Electrical Engineering and Computing (July 2012 - November 2016)
research assistant - PhD student at Vienna University of Technology, Institute for Anylysis and Scientific Computing, Austria (December 2008 – June 2012)
software developer at Mireo d.d., Zagreb, Croatia (June 2008 – November 2008)

Degree

PhD in mathematics from Vienna University of Technology, Faculty of Mathematics and Geoinformation (September 2009 – June 2012), thesis with Ansgar Jüngel
master in applied mathematics from University of Zagreb, Faculty of Science, Department of Mathematics (October 2003 - April 2008),
thesis with Mladen Jurak

Nastava

Kompetencije

Mathematics
Partial differential equations Information geometry Numerical analysis
Mathematics
Partial differential equations Information geometry Numerical analysis

Osobni podaci

Godina diplomiranja:

2008.

Godina doktoriranja:

2012.

Na zavodu od:

2012.

Izabrani projekti

Mathematical analysis and numerical methods for diffusion driven multiphase systems (UIP - HRZZ), PI, 2018 - 2023.
Multi-species biofilm diffusion systems for wastewater treatment (MZOŠ - bilateral project with Austria), PI of Croatian team, 2018 - 2020.
Mathematical Analysis of Multi-Physics Problems Involving Thin and Composite Structures and Fluids (UIP - HRZZ), postdoc, 2014 - 2017.
ACROSS (EU FP7-REGPOT), postdoc, 2012 - 2014.
Partial Differential Equations in Technical Systems - Modelling, Simulation, and Control (Austrian Research Foundation (FWF)), PhD student, 2008 - 2012.