Mario Bukal

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izv. prof. dr. sc. Mario Bukal

Associate professor, Department of Applied Mathematics

Location:

D-153-2

Public phone number:

6129-959

Internal phone number:

459

E-mail:

E-mail

Bibliography (CROSBI)
List of select publications
Biography
Teaching
Research areas
Personal data
List of select projects

The concavity of generalized entropy powers

Bukal, Mario
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
2022.
Nonlinearity

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

Bukal, Mario
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
2021.
Applied mathematics and optimization

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

Bukal, Mario ; Muha, Boris
2020.

Extended Information Filter on Matrix Lie Groups

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

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

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

Derivation of homogenized Euler–Lagrange equations for von Kármán rods

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

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

Bukal, Mario ; Marković, Ivan ; Petrović, Ivan
2017.

A family of fourth-order q-logarithmic equations

Bukal, Mario
2016.
Journal of mathematical analysis and applications

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

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

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

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

Composite distance based approach to von Mises mixture reduction

Bukal, Mario ; Marković, Ivan ; Petrović, Ivan
2014.
Information fusion

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

Marković, Ivan ; Bukal, Mario ; Ćesić, Josip ; Petrović Ivan
2014.

A multidimensional nonlinear sixth-order quantum diffusion equation

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

Lyapunov functionals for fourth-order lubrication equations

Bukal, Mario ; Maurette, Manuel
2013.

Entropies for radially symmetric higher-order nonlinear diffusion equations

Bukal, Mario ; Jüngel, Ansgar ; Matthes, Daniel
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).

Biography

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

Teaching

University undergraduate

Mathematical Analysis 1 (Lecturer in charge)
Mathematical Analysis 1 (Lecturer in charge)
Mathematical Modelling in Engineering (Lecturer in charge)
Mathematical Modelling in Engineering (Lecturer in charge)
Final BSc Thesis (Lecturers)
Mathematical Analysis 2 (Lecturers)
Project C (Lecturers)
Project E (Lecturers)

University graduate

Numerical methods for differential equations (Lecturer in charge)
Project (Lecturers)
Seminar 1 (Lecturers)
Seminar 2 (Lecturers)

Postgraduate doctoral study programme

Information geometry (Lecturer in charge)

Competences

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

Personal data

Graduation year:

2008.

PhD graduation year:

2012.

Employed in this institution since:

2012.

List of select projects

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.