[7] T. Borsoni, L. Boudin, J. Mathiaud, F. Salvarani (2025). A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes. Preprint.

Links: Arxiv, HAL.

[6] M. Bisi, T. Borsoni, M. Groppi (2025). On the modelling of polyatomic molecules in kinetic theory. Preprint.

Links: Arxiv, HAL.

Publications

[5] T. Borsoni, B. Lods (2024). Quantitative relaxation towards equilibrium for solutions to the Boltzmann-Fermi-Dirac equation with cutoff hard potentials. Journal of Functional Analysis.

Links: Published, Arxiv, HAL.

[4] T. Borsoni (2024). Extending Cercignani's conjecture results from Boltzmann to Boltzmann-Fermi-Dirac equation.  Journal of Statistical Physics.

Links: Published, Arxiv, HAL.

[3] M. Bisi, T. Borsoni, M. Groppi (2023). An internal state model for chemically reacting mixtures of monatomic and polyatomic gases.  Kinetic and Related Models.

Links: Published, HAL.

[2] T. Borsoni, L. Boudin, F. Salvarani (2022). Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions. Journal of Mathematical Analysis and Applications.

Links: Published, Arxiv, HAL.

[1] T. Borsoni, M. Bisi, M. Groppi (2022). A General Framework for the Kinetic Modelling of Polyatomic Gases. Communications in Mathematical Physics.

Links: Published, Arxiv, HAL.

PhD Manuscript

T. Borsoni (2024). Contributions autour de l'équation de Boltzmann et certaines de ses variantes [Contributions around the Boltzmann equation and some of its variants]. Supervised by L. Boudin and L. Desvillettes, in Laboratoire Jacques-Louis Lions, Sorbonne Université.

Links: theses.fr, HAL.

Master's internships reports

• T. Borsoni (2020). Some applications of optimal transport to musical morphing. Supervised by C. Agon and G. Romero Garcia, in IRCAM, Sorbonne Université. Accessible here.

• T. Borsoni (2019). Particle transport and detection in microfluidic channel containing obstacles. Supervised by L. Quivy, in CMLA, ENS Cachan. Accessible here.

Report of a workshop for second graders