Publications

Boccelli S., Martalò, G. & Travaglini, R. Turing instability and 2-D pattern formation in reaction-diffusion systems derived from kinetic theory. Discrete and  Continuous Dynamical Systems  - Series B 35, 391-423 .
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2026018 

Groppi, M., Martalò, G., Pizzarelli, N. & Travaglini R. Mathematical modelling and optimal control strategies in biodegradation processes. SeMA Journal, 1-27.
link.springer.com/article/10.1007/s40324-026-00423-0 

Martalò, G, Toscani, G. & Zanella, M. Individual-Based Foundation of SIR-Type Epidemic Models: mean-field limit and large time behaviour. Proceedings of the Royal Society A 482(2331), 20250633.
https://doi.org/10.1098/rspa.2025.0633 

Bisi, M., Groppi, M., Macaluso, A. & Martalò, G. (2025). Multi-temperature hydrodynamic limits derived from a hybrid Boltzmann-BGK model. Journal of Physics A: Mathematical and Theoretical 58(45), 455201.
iopscience.iop.org/article/10.1088/1751-8121/ae16eb 

Bisi, M., Groppi, M., Martalò, G. & Travaglini, R. (2025). Derivation from kinetic theory and 2-D pattern analysis of chemotaxis models for Multiple Sclerosis. Journal of  Mathematical Biology  91, 43.
link.springer.com/article/10.1007/s00285-025-02282-1 

Martalò, G., Menale, M. & Travaglini, R. (2025). Modelling prebunking strategies to contain misinformation spread. Results in Applied Mathematics 26,  100591.
www.sciencedirect.com/science/article/pii/S259003742500055X 

Martalò, G., Soares A.J. & Travaglini, R. (2025). A BGK-type model for multi-component gas mixtures undergoing a bimolecular chemical reaction. Journal of Statistical Physics 192, 3.
link.springer.com/article/10.1007/s10955-024-03389-3 

Conforto, F. & Martalò, G. (2024). Detonation waves in multi-temperature reacting gas mixtures. Rivista di Matematica dell'Università di Parma, 15(1).
www.rivmat.unipr.it/wwwprotetto/2024-15-1/RMUParma-15-1-2024-07.pdf 

Bisi, M., Groppi, M., Lucchin, E. & Martalò, G. (2024). A mixed Boltzmann–BGK model for inert gas mixtures. Kinetic and Related Models, 17(5), 674-696.
www.aimsciences.org/article/doi/10.3934/krm.2023037?viewType=HTML  

Martalò, G. & Travaglini, R. (2024). A reaction-cross-diffusion model derived from kinetic equations for gas mixtures. Physica D: Nonlinear Phenomena, 459, 134029.
www.sciencedirect.com/science/article/pii/S0167278923003834 

Bisi, M., Groppi, M., Martalò, G. & Soresina, C. (2024). A chemotaxis reaction–diffusion model for Multiple Sclerosis with Allee effect. Ricerche di Matematica, 73(Suppl 1), 29-46.
link.springer.com/article/10.1007/s11587-023-00806-9 

Bisi, M., Boscheri, W., Dimarco, G., Groppi, M. & Martalò, G. (2022). A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes. Applied Mathematics and Computation, 433, 127416.
www.sciencedirect.com/science/article/pii/S0096300322004908 

Artale, V., Conforto, F., Martalò, G. & Ricciardello, A. (2022). Shock structure solutions of Grad 13-moment equations for binary gas mixtures. Wave Motion, 115, 103055.
www.sciencedirect.com/science/article/pii/S0165212522001019 

Kosuge, S., Aoki, K., Bisi, M., Groppi, M. & Martalò, G. (2021). Boundary conditions for two-temperature Navier-Stokes equations for a polyatomic gas. Physical Review Fluids, 6(8), 083401.
journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.6.083401 

Bisi, M., Groppi, M., Martalò, G. & Travaglini, R. (2021). Optimal control of leachate recirculation for anaerobic processes in landfills. Discrete & Continuous Dynamical Systems-Series B, 26(6).
www.aimsciences.org/article/doi/10.3934/dcdsb.2020215 

Bisi, M., Groppi, M. & Martalò, G. (2021). On the shock thickness for a binary gas mixture. Ricerche di Matematica, 70, 251-266.
link.springer.com/article/10.1007/s11587-020-00503-x 

Bisi, M., Groppi, M. & Martalò, G. (2021). Macroscopic equations for inert gas mixtures in different hydrodynamic regimes. Journal of Physics A: Mathematical and Theoretical, 54(8), 085201.
iopscience.iop.org/article/10.1088/1751-8121/abbd1b/meta 

Bisi, M., Groppi, M., Macaluso, A. & Martalò, G. (2021). Shock wave structure of multi-temperature Grad 10-moment equations for a binary gas mixture. Europhysics Letters, 133(5), 54001.
iopscience.iop.org/journal/0295-5075  

Martalò, G., Bianchi, C., Buonomo, B., Chiappini, M. & Vespri, V. (2020). Mathematical modeling of oxygen control in biocell composting plants. Mathematics and Computers in Simulation, 177, 105-119.
www.sciencedirect.com/science/article/pii/S0378475420301245 

Martalò, G., Bianchi, C., Buonomo, B., Chiappini, M. & Vespri, V. (2020). A minimum time control problem for aerobic degradation processes in biocell composting plants. Optimal Control Applications and Methods, 41(4), 1251-1266.
onlinelibrary.wiley.com/doi/full/10.1002/oca.2600 

Bisi, M., Groppi, M. & Martalò, G. (2020). The evaporation–condensation problem for a binary mixture of rarefied gases. Continuum Mechanics and Thermodynamics, 32(4), 1109-1126.
link.springer.com/article/10.1007/s00161-019-00814-x

Artale, V., Conforto, F., Martalò, G. & Ricciardello, A. (2019). Shock structure and multiple sub-shocks in Grad 10-moment binary mixtures of monoatomic gases. Ricerche di Matematica, 68(2), 485-502.
link.springer.com/article/10.1007/s11587-018-0421-9 

Aoki, K., Baranger, C., Hattori, M., Kosuge, S., Martalò, G., Mathiaud, J. & Mieussens, L. (2017). Slip boundary conditions for the compressible Navier–Stokes equations. Journal of Statistical Physics, 169, 744-781.
link.springer.com/article/10.1007/s10955-017-1886-8 

Bisi, M., Conforto, F. & Martalò, G. (2016). Sub-shock formation in Grad 10-moment equations for a binary gas mixture. Continuum Mechanics and Thermodynamics, 28, 1295-1324.
link.springer.com/article/10.1007/s00161-015-0476-8  

Bisi, M., Martalò, G. & Spiga, G. (2014). Shock wave structure of multi-temperature Euler equations from kinetic theory for a binary mixture. Acta applicandae mathematicae, 132, 95-105.
link.springer.com/article/10.1007/s10440-014-9939-3 

Bisi, M., Martalò, G. & Spiga, G. (2013). Multi-temperature fluid-dynamic model equations from kinetic theory in a reactive gas: the steady shock problem. Computers & Mathematics with Applications, 66(8), 1403-1417.
www.sciencedirect.com/science/article/pii/S0898122113005099 

Bisi, M., Martalò, G. & Spiga, G. (2012). Multi-temperature hydrodynamic limit from kinetic theory in a mixture of rarefied gases. Acta applicandae mathematicae, 122, 37-51.
link.springer.com/article/10.1007/s10440-012-9724-0 

Bisi, M., Martalò, G. & Spiga, G. (2011). Multi-temperature Euler hydrodynamics for a reacting gas from a kinetic approach to rarefied mixtures with resonant collisions. Europhysics Letters, 95(5), 55002.
iopscience.iop.org/article/10.1209/0295-5075/95/55002/meta 

Bisi, M., Groppi, M., Martalò G. (2024). A space–dependent Boltzmann–BGK model for gas mixtures and its hydrodynamic limits. In Čolić, M., Giesselmann, J., Glück, J., Kramar Fijavž, M., Mauroy, A., Mugnolo, D. (eds) Mathematical Models for Interacting Dynamics on Networks. MAT-DYN-NET 2024. Trends in Mathematics. Birkhäuser, Cham (pp. 159-175).
https://doi.org/10.1007/978-3-032-02326-1_5 

Martalò, G., Soares, A. J. & Travaglini, R. (2024). Investigating dynamics and asymptotic trend to equilibrium in a reactive BGK model. In Čolić, M., Giesselmann, J., Glück, J., Kramar Fijavž, M., Mauroy, A., Mugnolo, D. (eds) Mathematical Models for Interacting Dynamics on Networks. MAT-DYN-NET 2024. Trends in Mathematics. Birkhäuser, Cham (pp. 411-425).  
https://doi.org/10.1007/978-3-032-02326-1_16

Conforto, F. & Martalò, G. (2023). On the Shock Wave Discontinuities in Grad Hierarchy for a Binary Mixture of Inert Gases. In Young Researchers Conference (pp. 169-189). Cham: Springer Nature Switzerland.
link.springer.com/chapter/10.1007/978-3-031-29875-2_8 

Martalò, G., Bianchi, C., Buonomo, B., Chiappini, M. & Vespri, V. (2022). Optimal Control Strategies for Composting Processes in Biocells with L 1− Type and L 2− Type Cost Objectives. In Applied Mathematical Problems in Geophysics: Cetraro, Italy 2019 (pp. 5-21). Cham: Springer International Publishing.
link.springer.com/chapter/10.1007/978-3-031-05321-4_2 

Martalò, G., Bianchi, C., Buonomo, B., Chiappini, M. & Vespri, V. (2020). On the role of inhibition processes in modeling control strategies for composting plants. Current Trends in Dynamical Systems in Biology and Natural Sciences, 125-145.
link.springer.com/chapter/10.1007/978-3-030-41120-6_7 

Bisi, M., Conforto, F. & Martalò, G. (2016). Sub-shock Formation in Reacting Gas Mixtures. In From Particle Systems to Partial Differential Equations III: Particle Systems and PDEs III, Braga, Portugal, December 2014 (pp. 51-72). Springer International Publishing.
link.springer.com/chapter/10.1007/978-3-319-32144-8_3