Full list of publications

Preprints

  1. R. Alonso, M. Čolić. Higher integrability for the Boltzmann system with cross mono-polyatomic collision operators, preprint, 2025.
  2. M. Čolić, S. Simić. Maxwell-Stefan diffusion model based on moment equations for gas mixtures, preprint, 2025.
  3. R. Alonso, M. Čolić. Boltzmann framework for polyatomic gases: review on well-posedness, higher integrability and physical relevance for polyatomic gases, ArXiv:2502.20308, 2025. [arXiv] [Mathematica code]
  4. R. Alonso, M. Čolić. Moment estimates for polyatomic Boltzmann equation with frozen collisions, ArXiv:2502.08237, 2025. [arXiv]

    5. Publications in peer-reviewed scientific journals

    1. R. Alonso, M. Čolić. Regularity theory for the space homogeneous polyatomic Boltzmann flow, Journal of Differential Equations, 461: 114128, 2026. [with open-access]
    2. M. Čolić. Explicit model for a mixture of Eulerian fluids based on kinetic theory, Physics of Fluids, 36, 067134, 2024. [journal] [Mathematica code]
    3. R. Alonso, M. Čolić. Integrability propagation for a Boltzmann system describing polyatomic gas mixtures, SIAM Journal on Mathematical Analysis, 56(1):1459–1494, 2024. [arXiv] [journal]
    4. R. Alonso, M. Čolić, I. M. Gamba. The Cauchy Problem for Boltzmann Bi-linear Systems: The Mixing of Monatomic and Polyatomic Gases, Journal of Statistical Physics, 191:9, 2024. [with open-access]
    5. L. Boudin, B. Grec, M. Pavić-Čolić, S. Simić. Energy method for the Boltzmann equation of monatomic gaseous mixtures, Communication in Mathematical Sciences, 22(1): 137–166, 2024. [arXiv] [journal]
    6. I. M. Gamba, M. Pavić-Čolić. On the Cauchy problem for Boltzmann equation modelling a polyatomic gas, Journal of Mathematical Physics, 64(1): 013303, 2023. [arXiv] [journal]
    7. V. Djordjić, G. Oblapenko, M. Pavić-Čolić, M. Torrilhon. Boltzmann collision operator for polyatomic gases in agreement with experimental data and DSMC method, Continuum Mechanics and Thermodynamics, 35(1): 103–119, 2022. [with open-access]
    8. M. Pavić-Čolić, S. Simić. Six-field Theory for a Polyatomic Gas Mixture: Extended Thermodynamics and Kinetic Models, Fluids, 7(12): 381, 2022. [with open-access]
    9. M. Pavić-Čolić, S. Simić. Kinetic description of polyatomic gases with temperature-dependent specific heats, Physical Review Fluids, 7(8): 083401, 2022. [journal]
    10. V. Djordjić, M. Pavić-Čolić, M. Torrilhon. Consistent, Explicit and Accessible Boltzmann Collision Operator for Polyatomic Gases, Physical Review E, 104(2): 025309, 2021. [journal] [Mathematica code]
    11. M. Pavić-Čolić, D. Mađarević, S. Simić. Shock structure and Relaxation in the Multi-Component Mixture of Euler Fluids, Symmetry, 13: 955, 2021. [with open-access]
    12. V. Đorđić, M. Pavić-Čolić, N. Spasojević. Polytropic gas modelling at kinetic and macroscopic levels, Kinetic and Related Models, 14(3): 483–522, 2021. [arXiv] [journal]
    13. I. M. Gamba, M. Pavić-Čolić. On existence and uniqueness to homogeneous Boltzmann flows of monatomic gas mixtures, Archive for Rational Mechanics and Analysis, 235: 723–781, 2020. [arXiv] [journal]
    14. M. Pavić-Čolić. Multi-velocity and multi-temperature model of the mixture of polyatomic gases issuing from kinetic theory, Physics Letters A, 383: 2829–2835, 2019. [arXiv] [journal]
    15. M. Pavić-Čolić, M. Tasković. Propagation of stretched exponential moments for the Kac equation and Boltzmann equation with Maxwell molecules, Kinetic and Related Models, 11(3): 597–613, 2018. [arXiv] [journal]
    16. M. Pavić-Čolić, D. Mađarević, S. Simić. Polyatomic gases with dynamic pressure: kinetic non-linear closure and the shock structure, International Journal of Non-Linear Mechanics, 92: 160–175, 2017. [arXiv] [journal]
    17. M. Pavić-Čolić, S. Simić. Moment closure hierarchies for rarefied gases, Theoretical and Applied Mechanics, 42(4): 261–276, 2015. [with open-access]
    18. S. Simić, M. Pavić-Čolić, D. Mađarević. Non-equilibrium mixtures of gases: Modelling and computation, Rivista di Matematica della Universita di Parma, 6(1): 135–214, 2015. [with open-access]
    19. M. Pavić-Čolić, S. Simić. Moment Equations for Polyatomic Gases, Acta Applicandae Mathematicae, 132(1): 469–482, 2014. [with open-access]
    20. L. Boudin, B. Grec, M. Pavić, F. Salvarani. Diffusion asymptotics of a kinetic model for gaseous mixtures, Kinetic and Related Models, 6(1): 137–157, 2013. [hal] [journal]
    21. M. Pavić, T. Ruggeri, S. Simić. Maximum entropy principle for rarefied polyatomic gases, Physica A, 392(6): 1302–1317, 2013. [hal] [journal]

    Publications in peer-reviewed conference proceedings

    1. N. Bernhoff, L. Boudin, M. Čolić, B. Grec Compactness of linearized Boltzmann operators for polyatomic gases, Mathematical Models for Interacting Dynamics on Networks, Proceedings of the Final Conference of the COST Action MAT-DYN-NET, Trends in Mathematics, Birkhäuser, 2026. [arXiv] [conference proceedings]
    2. V. Djordjić, M. Pavić-Čolić, M. Torrilhon. 14- and 17-moment systems for polytropic gases – Comparison regarding transport coefficients, AIP Conference Proceedings, 2996(1), 040011, 2024. [journal]
    3. M. Pavić-Čolić, D. Madjarević, S. Simić. Multi-component mixture of Euler fluids – continuum/kinetic closure, Proceedings of the 8th International Congress of the Serbian Society of Mechanics, Serbian Society of Mechanics, Kragujevac, Serbia, 2021.
    4. E. De La Canal, I. M. Gamba, M. Pavić-Čolić. On existence, uniqueness and Banach space regularity for solutions of Boltzmann equations systems for monatomic gas mixtures, International Conference on Particle Systems and PDEs VI, VII and VIII (2017–2019), Springer Proceedings in Mathematics and Statistics, 352: 99–121, 2021. [book]
    5. S. Simić, M. Pavić-Čolić. Moment closure hierarchies for rarefied gases, Proceedings of the 5th International Congress of the Serbian Society of Mechanics, Serbian Society of Mechanics, Aranđelovac, Serbia, 2015.
    6. L. Boudin, B. Grec, M. Pavić-Čolić, F. Salvarani. A kinetic model for polytropic gases with internal energy, PAMM Proceedings in Applied Mathematics and Mechanics, 13: 353–354, 2013. [journal]

    Mathematica codes

    Note: the Mathematica codes published via Notebooks Archive are executable on the browser even without a paid license.

    1. M. Čolić, V. Djordjić, M. Torrilhon. Evaluation of the polyatomic Boltzmann collision operator and comparison with experimental data for N2, O2, NO, CO, H2, Notebook Archive (2025), [Notebook Archive]
    2. M. Čolić. Supplementary material for the paper: Explicit model for a mixture of Eulerian fluids based on kinetic theory, Notebook Archive (2024), [Notebook Archive]
    3. V. Djordjić, M. Pavić-Čolić, and M. Torrilhon. Boltzmann collision operator for polyatomic gases, Notebook Archive (2021), [Notebook Archive]

    Textbook for undergraduate students

    • Milana Čolić. Mathematics for students of physics: differential equations and elements of probability theory and statistics, University Textbook for undergraduate students, Faculty of Sciences, University of Novi Sad, 2020. [PDF]

    Publication related to outreach

    • M. Pavić-Čolić. Mathematical Model for the Game Management Plan, chapter in the book Mathematical Modelling in Real Life Problems – Case Studies from ECMI-Modelling Weeks, The European Consortium for Mathematics in Industry, Volume 33, Springer, 2020.