Publications
a) Refereed papers appeared on journals:

Etienne Bernard, Francesco Salvarani. On the homogenization of the renewal equation. Acta Appl. Math., in press.

Frédérique Charles, Annamaria Massimini, Francesco Salvarani. Mathematical and numerical study of a kinetic model describing the evolution of planetary rings. Comput. Math. Appl. 143 (2023), 48–56.

Etienne Bernard, Francesco Salvarani. Homogenization of the linear Boltzmann equation with a highly oscillating scattering term in extended phase space. Appl. Math. Lett., 143 (2023) 108672.

 Thomas Borsoni, Laurent Boudin, Francesco Salvarani. Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions. J. Math. Anal. Appl. 517 (2023), no. 1, Paper No. 126579, 30 pp.

Laurent Boudin, Alex Rossi, Francesco Salvarani. A kinetic model of polyatomic gas with resonant collisions. In print on Ricerche di Matematica.
 
Laurent Boudin, Francesco Salvarani, Emmanuel Trélat. Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions. SIAM J. Math. Anal. 54, 3 (2022) 2727-2752

Giulia Braghini, Francesco Salvarani. Effects of hidden opinion manipulation in microblogging platforms. Adv. Complex Syst. 24 (2021), no. 5, Paper No. 2150009, 26 pp.

Nastassia Pouradier-Duteil, Francesco Salvarani. Kinetic approach to the collective dynamics of the rock-paper-scissors binary game. Appl. Math. Comput. 388 (2021) 125496, 13 pp.

Harsha Hutridurga, Olga Mula, Francesco Salvarani. Homogenization in the energy variable for a neutron transport model. Asymptotic Anal. 117, 1-2 (2020) 1-25

Etienne Bernard, Francesco Salvarani. Optimal Estimate of the Spectral Gap for the Degenerate Goldstein-Taylor Model (vol 153, pg 363, 2013). J. Stat. Phys. 181, 4 (2020) 1470-1471

Benjamin Anwasia, Marzia Bisi, Francesco Salvarani, Ana Jacinta Soares. On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non-isothermal setting. Kinet. Relat. Models 13, 1 (2020) 63-95

Frédérique Charles, Francesco Salvarani. Mathematical and numerical study of a dusty Knudsen gas mixture. Acta Appl. Math. 168, 1 (2020) 17-31

 Francesco Salvarani, Ana Jacinta Soares. On the relaxation of the Maxwell-Stefan system to linear diffusion. Appl. Math. Lett., 85, (2018) 15-21

Grazia Brunetta, Roberto Monaco, Emma Salizzoni, Francesco Salvarani. Integrating landscape in regional development : a multidisciplinary approach to evaluation in Trentino planning policies, Italy. Land Use Policy, 77, (2018) 613-626

Francesco Salvarani, Gabriel Turinici. Optimal individual strategies for influenza vaccines with imperfect efficacy and durability of protection. Math. Biosci. Eng. 15, 3 (2018) 629-652

Harsha Hutridurga, Francesco Salvarani. Existence and uniqueness analysis of a non-isothermal cross-diffusion system of Maxwell-Stefan type. Appl. Math. Lett. 75, (2018) 108-113

Harsha Hutridurga, Francesco Salvarani. Maxwell-Stefan diffusion asymptotics for gas mixtures in non-isothermal setting. Nonlinear Analysis 159, (2017) 285-297

Harsha Hutridurga, Francesco Salvarani. On the Maxwell-Stefan diffusion limit for a mixture of monatomic gases. Math. Meth. in Appl. Sci. 40, 3 (2017) 803-813

Luigi Barletti, Francesco Salvarani. On a nonlinear parabolic problem arising in the quantum diffusive description of a degenerate fermion gas. SIAM J. Appl. Math. 76, 3 (2016) 867-886

Laurent Boudin, Francesco Salvarani. Opinion dynamics : kinetic modelling with mass media, application to the Scottish independence referendum. Phys. A 444, 22 (2016) 448-457

Laurent Boudin, Bérénice Grec, Francesco Salvarani. The Maxwell-Stefan diffusion limit for a kinetic model of mixtures. Acta Appl Math. 136, 1, (2015) 79-90

Florian De Vuyst, Francesco Salvarani. Numerical simulations of degenerate transport problems. Kinet. Relat. Models 7, 3 (2014) 463-476

Pierre Gabriel, Francesco Salvarani. Exponential relaxation to self-similarity for the superquadratic fragmentation equation. Appl. Math. Lett. 27 (2014) 74-78

Etienne Bernard, Francesco Salvarani. Optimal estimate of the spectral gap for the degenerate Goldstein-Taylor model. J. Stat. Phys. 153, 2 (2013) 363-375

Etienne Bernard, Francesco Salvarani. On the exponential decay to equilibrium of the degenerate linear Boltzmann equation. J. Funct. Anal. 265, 9 (2013) 1934-1954

Etienne Bernard, Francesco Salvarani. On the convergence to equilibrium for degenerate transport problems. Arch. Rational Mech. Anal. 208, 3 (2013) 977-984

Francesco Salvarani. On the linear Boltzmann equation in evolutionary domains with absorbing boundary. J. Phys. A: Math. Theor. 46 (2013) 355501

Julien Mathiaud, Francesco Salvarani. A numerical strategy for radiative transfer problems with higly oscillating opacities. Appl. Math. Comput. 221 (2013) 249-256

Laurent Boudin, Bérénice Grec, Milana Pavic, Francesco Salvarani. Diffusion asymptotics of a kinetic model for gaseous mixtures. Kinet. Relat. Models 6, 1 (2013) 137-157

Florian De Vuyst, Francesco Salvarani. GPU-accelerated numerical simulations of the Knudsen gas on time-dependent domains. Comput. Phys. Comm. 184, 3 (2013) 532-536

Laurent Boudin, Aurore Mercier, Francesco Salvarani. Conciliatory and contradictory dynamics in opinion formation. Phys. A 391, 22 (2012) 5672-5684

Laurent Boudin, Bérénice Grec, Francesco Salvarani. A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations. Discrete Contin. Dyn. Syst. B 17, 5 (2012) 1427-1440

Mustapha Mokhtar-Kharroubi, Francesco Salvarani. Convergence rates to equilibrium for neutron chain fissions. Acta Appl. Math. 113, 2 (2011) 145-165

Francesco Salvarani, Michele Nichelatti, Cristina Montomoli. Recovering incidence from repeated measures of prevalence: the case of urinary tract infections. J. Clin. Monit. Comput. 24, 4 (2010) 269-277

Laurent Boudin, Roberto Monaco, Francesco Salvarani. A kinetic model for multidimensional opinion formation. Phys. Rev. E 81 (2009) 036109

Etienne Bernard, François Golse, Francesco Salvarani. Homogenization of transport problems and semigroups. Math. Meth. in Appl. Sci., 33, 10 (2010) 1228-1234

Francesco Salvarani. Asymptotic behaviour for logarithmic diffusion. J. Math. Phys. 50 (2009) 113518

Laurent Boudin, Francesco Salvarani. The quasi-invariant limit for a kinetic model of sociological collective behavior. Kinet. Relat. Models 2, 3 (2009) 433-449

Laurent Boudin, Francesco Salvarani. A kinetic approach to the study of opinion formation. M2AN Math. Model. Numer. Anal. 43, 3 (2009) 507-522

Francesco Salvarani, Giuseppe Toscani. The diffusive limit of Carleman-type models in the range of very fast diffusion equations. J. Evol. Eq. 9, 1 (2009) 67-80

Emmanuel Frénod, Francesco Salvarani, Eric Sonnendrücker. Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method. Math. Models Methods Appl. Sci. 19, 2 (2009) 175-197

Laurent Desvillettes, Francesco Salvarani. Asymptotic behavior of degenerate linear transport equations. Bull. Sci. Mat. 133, 8 (2009) 848-858

José Antonio Carrillo, Jesús Rosado, Francesco Salvarani. 1D nonlinear Fokker-Planck equations for fermions and bosons. Appl. Math. Lett. 21, 2 (2008) 148-154

François Golse, Francesco Salvarani. Diffusion limits for generalized Carleman models: the initial-boundary
value problem. Nonlinearity 20, 4 (2007) 927-942

Francesco Salvarani, Juan Luis Vázquez. The diffusive limit for Carleman-type kinetic models. Nonlinearity 18, 3 (2005) 1223-1248

Laurent Desvillettes, Roberto Monaco, Francesco Salvarani. A kinetic model allowing to obtain the energy law of polytropic gases in the presence of chemical reactions. Eur. J. Mech. B/Fluids, 24, 2 (2005) 219-236

Luigi Barletti, Aldo Belleni Morante, Roberto Monaco, Francesco Salvarani. A kinetic approach to dust coagulation. Ricerche di Matematica LIV, 1 (2005) 271-291

Francesco Salvarani, Giuseppe Toscani. Large-time asymptotics for nonlinear diffusions: the initial-boundary value problem. J. Math. Phys. 46, 023502 (2005)

Aldo Belleni Morante, Roberto Monaco, Riccardo Riganti, Francesco Salvarani. A numerical approach for inverse problems in photon transport inside an interstellar cloud. Appl. Math. Comput. 154, 1 (2004) 115-126

Laurent Desvillettes, Francesco Salvarani. Characterization of collision kernels. M2AN Math. Model. Numer. Anal., 37, 2 (2003) 345-355

Eric Carlen, Francesco Salvarani. On the optimal choice of coefficients in a truncated Wild sum and approximate solutions for the Kac equation. J. Stat. Phys., 109, 1/2 (2002) 261-277

Riccardo Riganti, Francesco Salvarani. A singularly perturbed problem of photon transport in a time-dependent region. Math. Meth. in Appl. Sci., 25, 9 (2002) 749-769

Aldo Belleni Morante, Roberto Monaco, Francesco Salvarani. Approximated solutions of photon transport in a time dependent region. Trans. Theory Stat. Phys. 30, 4-6 (2001) 421-438

Francesco Salvarani. Diffusion limits for the initial-boundary value problem of the Goldstein-Taylor model. Rend. Sem. Mat. Univ. Polit. Torino, 57, 3 (1999) 211-222


b) Refereed papers appeared on proceedings:

Francesco Salvarani. From the Boltzmann description for mixtures to the Maxwell-Stefan diffusion equations.
From Particle Systems to Partial Differential Equations, Volume 352 of the series Springer Proceedings in Mathematics & Statistics, 2021, 355-379

Laurent Boudin, Francesco Salvarani. Compactness of linearized kinetic operators. From Particle Systems to Partial Differential Equations III. Springer International Publishing, 2016 73-97

Florian De Vuyst, Valeria Ricci, Francesco Salvarani. Nonlocal second order vehicular traffic flow models and Lagrange-remap finite volumes. Finite Volumes for Complex Applications VI Problems & Perspectives, Springer Proceedings in Mathematics, 2011, Volume 4, Part 1, 781-789

François Golse, Francesco Salvarani. Radiative transfer equations and Rosseland approximation in gray matter. Proceedings "WASCOM 2007" 14th Conference on Waves and Stability in Continuous Media, N. Manganaro et al. editors, World Scientific, Singapore 2008, 321-326

Francesco Salvarani, Juan Luis Vázquez. From kinetic systems to diffusion equations. Proceedings "WASCOM 2003" 12th Conference on Waves and Stability in Continuous Media, R. Monaco et al. editors, World Scientific, Singapore 2004, 52-59

Aldo Belleni Morante, Roberto Monaco, Riccardo Riganti, Francesco Salvarani. Inverse problems in photon transport. Part I: determination of physical and geometrical features of an interstellar cloud. Proceedings "WASCOM 2003" 12th Conference on Waves and Stability in Continuous Media, R. Monaco et al. editors, World Scientific, Singapore 2004, 475-481

Riccardo Riganti, Francesco Salvarani. On a photon transport problem in a time dependent region. Proceedings "WASCOM 2001" 11th Conference on Waves and Stability in Continuous Media, R. Monaco et al. editors, World Scientific, Singapore 2002, 438-446

Aldo Belleni Morante, Roberto Monaco, Francesco Salvarani. Numerical simulation of a photon transport problem in a time dependent domain. Proceedings "WASCOM 99" 10th Conference on Waves and Stability in Continuous Media, V. Ciancio et al. editors, World Scientific, Singapore 2001, 314-324


c) Chapters of books:

Laurent Boudin, Francesco Salvarani. Modelling opinion formation by means of kinetic equations. Mathematical modeling of collective behavior in socio-economic and life sciences, G. Naldi, L. Pareschi, e G. Toscani editors, Birkhauser, Boston 2010, 245-270

Laurent Desvillettes, Roberto Monaco, Francesco Salvarani. A kinetic model for chemically reacting gases. Modeling and numerics of kinetic dissipative systems: cooling, clustering, and pattern formation, L. Pareschi, G. Russo e G. Toscani editors, Nova Science, New York 2006, 127-142


d) Preprints:

François Golse, Francesco Salvarani. The Rosseland limit for radiative transfer in gray matter.

Nadir Farhi, Habib Haj-Salem, Megan M. Khoshyaran, Jean-Patrick Lebacque, Francesco Salvarani, Bernard Schnetzler, Florian De Vuyst. The logit lane assignment model: first results.

Francesco Salvarani, Daniela Tonon. Kinetic description of strategic binary games.

Mattia Bongini, Francesco Salvarani. Mean Field Games of Controls with Dirichlet boundary conditions.

Francesco Beccuti, Andrea Maffia, Francesco Salvarani. An innovative and inclusive learning environment for a course in multivariable analysis.

e) Editor of books:

PDE models for multi-agent phenomena. Pierre Cardaliaguet, Alessio Porretta & Francesco Salvarani editors, Springer INdAM series 28, Springer International Publishing, ISBN: 978-3-030-01946-4

Recent advances in kinetic equations and applications. Francesco Salvarani editor, Springer INdAM series 48, Springer International Publishing, ISBN: 978-3-030-82945-2

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