Research activities

My research interests include applied mathematical analysis and modelling, with an accent on study of equations arising in kinetic theory of gases, in particular in the context of mixtures of monatomic and polyatomic gases.

Projects

  • 2025–2027 — Horizon Europe Marie Skłodowska-Curie Postdoctoral Fellowship
    BAME (No. 101194202): Boltzmann models for polyatomic gases and mixtures: analysis, macroscopic limits and entropy methods
    Role: PI Budget: €230,184.72
  • 2019–2024 — EU COST Action CA18232 Mathematical models for interacting dynamics on networks
    Roles: Secondary proposer, Leader of the Working Group 2 Nonlinear problems, and until 2022: Equal Opportunity Agent and Grant Selection Committee member Budget: €816,582.84
  • 2020–2022 — Science Fund of the Republic of Serbia; Program for excellent projects of young researchers
    MaKiPol (No. 6066089): Mathematical methods in the kinetic theory of polyatomic gas mixtures: modelling, analysis and computation
    Role: PI Budget: €52,537.96
  • 2020–2022 — Multilateral scientific and technological cooperation in the Danube region (Serbia–Austria–France)
    Mathematical analysis of multispecies fluid and kinetic models
    Role: CoPI from Serbia (with E. Daus, Austria and B. Grec, France) Serbian budget: RSD 840,000.00
  • 2018–2022 — Bilateral (France–Serbia) Projet International de Coopération Scientifique (PICS) 278838, extended under the International Emergency Actions program (Covid-19 extension)
    Kinetic and hyperbolic models for gaseous mixtures and granular media
    Role: CoPI from Serbia (with L. Boudin, France) Budget: €5,000.00
  • 2019 — Start Up for Science grant, Philip Morris and Center for Leadership Development Serbia
    Nanotechnology approach in the development of modern dermal therapeutic systems
    Role: member
  • 2011–2019 — Ministry of Education and Science of Republic of Serbia
    OI174016: Mechanics of nonlinear and dissipative systems – contemporary models, analysis and applications
    Role: member
  • 2014–2018 — French Ministry of Research
    ANR blanche project Kibord: ANR-13-BS01-0004: KInetic models in Biology Or Related Domains
    Role: member
  • 2014–2016 — Bilateral (France–Serbia) PICS CNRS No. 06370
    Kinetic and macroscopic modelling of gaseous mixtures
    Role: member
  • 2014–2016 — Bilateral (France–Serbia) CNRS/MSTD No.25794
    Fluid and kinetic models for gaseous mixtures
    Role: member
  • 2016 — Bilateral (France–Austria) PHC Amadeus No. 35523WJ
    Comportement asymptotique d’équations cinétiques et de diffusion: analyse mathématique et numérique
    Role: member
  • 2015–2016 — Bilateral (France–Italy) PHC Galilée No. 32237PA
    Modélisation cinétique et simulation de mélanges gazeux réactifs et de plasmas pour la fusion nucléaire
    Role: member

Editorial activities

– Since 2022, an Associate Editor of Kinetic and Related Models, AIMS Press, an international journal in kinetic theory and applied mathematics.

– In 2024/25, a member of the Program Committee for the proceedings of the 33rd International Symposium on Rarefied Gas Dynamics, to be published by Springer Nature.

– In 2024/25, co-editor of the proceedings of the Final Conference of COST Action CA18232: Mathematical models for interacting dynamics on networks, to appear in Trends in Mathematics (Birkhäuser).

Supervising and Mentoring

  • From 2020 — PhD thesis: Vladimir Djordjić, Moment method for polyatomic gases: from modelling to numerical simulations,
    Co-supervision with Manuel Torrilhon
    ACoM, RWTH Aachen, Germany
  • 2018–2021 — PhD thesis: Erica De La Canal, Coerciveness, well-posedness, and Banach norms propagation of solutions to the system of Boltzmann equations for a monatomic gas mixture,
    Co-supervision with Irene M. Gamba
    Department of Mathematics, University of Texas at Austin, USA
  • 2020 — Master thesis: Vladimir Djordjić, Kinetic models of continuous type for polyatomic gases
    Department of Mathematics and Informatics, University of Novi Sad, Serbia
  • 2020 — Master thesis: Nikola Spasojević, The Cauchy problem for space homogeneous Boltzmann equation
    Department of Mathematics and Informatics, University of Novi Sad, Serbia

Conferences

Organizations of seminars, workshops and minisymposia

  • 21–23/06/2023 — Modelling, analysis and numerical methods of complex dynamics
    WG2&5 Meeting, Workshop within COST Action Mat-Dyn-Net, CIRM, France
  • 31/07–05/08/2022 — Collisional kinetic modeling in classical and plasma dynamics: numerical methods and non-linear analysis
    Minisymposium within World Congress on Computational Mechanics, Yokohama, Japan
  • 20–22/04/2022 — WG2 Meeting
    Workshop within COST Action Mat-Dyn-Net, hybrid, Versailles, France
  • 20–22/09/2021 — WG2 Meeting
    Workshop within COST Action Mat-Dyn-Net, hybrid, Andrevlje, Serbia
  • 18/05/2021 — WG2 Workshop on Nonlinear Problems in Traffic and Multispecies Diffusion Models
    Online workshop
  • 17–21/06/2019 — Analytical and Computational Problems for Mixtures and Plasma Dynamics
    Workshop, Bonn, Germany
  • 01/03/2019–30/06/2020 — Mathematical Modelling in Kinetic Theory of Gases
    Workshop seminar, Department of Mathematics and Informatics, Novi Sad, Serbia
  • 25–27/09/2014 — Problems on Kinetic Theory and PDEs
    Workshop, Novi Sad, Serbia

Invited presentations

  • 20/06/2025 — Recent Advances in the Kinetic Theory of Polyatomic Gases
    Seminar talk, Groupe de Travail Modélisation, Analyse & Simulation, MAP5, Université Paris Cité
  • 22/05/2025 — From Monatomic to Polyatomic: Mathematical Aspects of the Homogeneous Boltzmann Flow
    Seminar talk, Algebra and Functional Analysis Seminar, Institute for Mathematics, Physics and Mechanics, University of Ljubljana
  • 09–13/09/2024 — Polyatomic Boltzmann equation: well-posedness, higher integrability and physical relevance
    Mini-course, Particle Systems and PDEs XII, Trieste, Italy
  • 15–19/07/2024 — Boltzmann system for a mixture of monatomic and polyatomic gases in the continuous setting
    Conference talk, 33rd International Symposium on Rarefied Gas Dynamics (RGD33), Göttingen, Germany
  • 02–08/06/2024 — On the Boltzmann equation modelling a polyatomic gas
    Short course, 12th Summer School on Methods and Models of Kinetic Theory, Pesaro, Italy
  • 28/06/2024 — Gas mixtures in the Boltzmann framework
    Workshop talk, COLIBRI, University of Graz, Austria
  • 14/05/2024 — On the Boltzmann system for gas mixtures
    Seminar talk, Applied Analysis Complex Systems & Dynamics Seminar, University of Graz, Austria
  • 25/03/2024 — Homogeneous polyatomic Boltzmann flow: well-posedness and integrability
    Webinar talk, Kinetic and Fluid Equations for Collective Behaviour, University of Bordeaux (online)
  • 05–09/02/2024 — Some aspects of the kinetic polyatomic gas theory
    Conference talk, Mat-Dyn-Net 24, Final Conference of the Action, Braga, Portugal
  • 16–20/05/2022 — On the Boltzmann equation modeling a polyatomic gas
    Conference talk, The Boltzmann Equation: In the Trail of Torsten Carleman, Institut Mittag-Leffler, Sweden
  • 20–26/06/2021 — Nonlinear models of kinetic type: On the Cauchy problem and Banach space regularity
    Conference talk, 8th European Congress of Mathematics, Portorož, Slovenia
  • 18/01/2021 — Cauchy problem and moment equations for the Boltzmann model describing a polyatomic gas
    Seminar talk, TU Darmstadt, Germany
  • 05/10/2020 — On the Cauchy problem and Lp theory for kinetic models beyond monatomic gas
    Seminar talk, TU Vienna, Austria
  • 16/09/2020 — On the continuous kinetic model for a polyatomic gas
    Seminar talk, MathCCES, RWTH Aachen University, Germany
  • 13–14/02/2019 — The Cauchy problem for spatially homogeneous Boltzmann flows
    Workshop talk, Flash Workshop on Kinetics of Mixtures and Plasmas, Austin, USA
  • 19–23/11/2018 — The Cauchy problem for monatomic gas mixtures
    Conference talk, Particle Systems and PDEs VII, Palermo, Italy
  • 11/05/2018 — Existence and uniqueness of a Boltzmann system for gas mixtures
    Seminar talk, Analysis Seminar, Math Department, UT Austin, USA
  • 05/05/2016 — Some aspects of systems of Boltzmann-like equations for gas mixtures
    Seminar talk, Math Physics Seminar, Math Department, UT Austin, USA
  • 25–27/09/2014 — Mathematical modelling and analysis of polyatomic gases and mixtures
    Workshop talk, Problems on Kinetic Theory and PDEs, Novi Sad, Serbia
  • 05–06/04/2013 — Maximum entropy principle and Grad’s moment method for rarefied polyatomic gases
    Workshop talk, Kinetic Days, IMT, Toulouse, France
  • 31/10/2012 — Diffusion asymptotics of gas mixture kinetic model
    Seminar talk, Mathematical Institute SANU, Belgrade, Serbia

Contributed presentations

  • 21/07/2025 — Higher Integrability Theory for the Homogeneous Polyatomic Boltzmann Flow
    Conference talk, Nonlinear PDEs in Guimarães 2025, Universidade do Minho, Guimarães, Portugal
  • 14–16/07/2025 — Recent Advances in the Kinetic Theory of Polyatomic Gases
    Poster, WM25 – 4th Women in Mathematics Meeting, Porto, Portugal
  • 07–10/07/2021 — On the Cauchy problem for spatial homogeneous Boltzmann model describing a polyatomic gas
    Conference talk, Pre-RGD32 Online Workshop on Recent Hot Topics in Rarefied Gas Dynamics, online
  • 23–27/05/2021 — Dynamics of Multi-Component Gas Mixtures based on the Kinetic Theory
    Conference talk, SIAM Conference on Applications of Dynamical Systems (DS21), online
  • 13–14/03/2021 — Cauchy problem for the Boltzmann equation modeling a polyatomic gas
    Conference talk, AMS Spring Southeastern Sectional Meeting (Virtual)
  • 03–05/10/2019 — Kinetic monatomic gas mixture models: On the Cauchy problem and theory for the system of Boltzmann equations
    Conference talk, Congress of Young Mathematicians, Novi Sad, Serbia
  • 20/09/2018 — Cauchy problem for spatially homogeneous Boltzmann system for gas mixtures
    Seminar talk, XLII Summer School on Mathematical Physics, Ravello, Italy
  • 27–31/05/2013 — Asymptotique diffusive pour un modèle cinétique de mélange gazeux
    Conference talk, SMAI 2013, Seignosse le Penon, France
  • 18–22/03/2013 — Diffusion asymptotics of a kinetic model for gaseous mixtures
    Conference talk, 84th Annual Meeting of the GAMM, Novi Sad, Serbia
  • 03–06/09/2012 — Diffusion asymptotics of a kinetic model for gaseous mixtures
    Conference talk, MechAM: 50 Years of Seminar for Analysis and Foundations of Mathematics, Novi Sad, Serbia
  • 20/09/2012 — Diffusion asymptotics of a kinetic model for gaseous mixtures
    Seminar talk, XXXVII Summer School on Mathematical Physics, Ravello, Italy
  • 03–09/06/2012 — Diffusion limit of the Boltzmann equation for a gaseous mixture
    Poster, Methods and Models of Kinetic Theory, Porto Ercole, Italy

Participation in international conferences and workshops

  • 03–08/09/2023 — Classical and Quantum Mechanical Models of Many-Particle Systems
    MFO ID 2335 Workshop, Oberwolfach, Germany
  • 22/05–02/06/2017 — ICTP Advanced School & Workshop on Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability
    smr 3118, Trieste, Italy
  • 01/06/2016 — Recent Advances in Kinetic Equations and Applications
    UPMC, Paris, France
  • 08–14/06/2014 — Methods and Models of Kinetic Theory
    Porto Ercole, Italy
  • 04–10/09/2011 — Nonlinear Hyperbolic Systems of Balance Laws in Extended Thermodynamics and Kinetic Theory
    Cortona, Italy

Participation in Activities of the European Consortium for Mathematics in Industry (ECMI)

  • 15–22/07/2018 — Instructor of the project Espresso Coffee Problem
    ECMI Modelling Week, Novi Sad, Serbia
  • 17–24/07/2016 — Instructor of the project Red Deer Import
    ECMI Modelling Week, Sofia, Bulgaria
  • 03–07/02/2014 — Participant, 99th European Study Group with Industry
    Novi Sad, Serbia
  • 29/08–12/09/2010 — Participant, ECMI Summer School and Modelling Week
    Milan, Italy