Marco Di Francesco

Publications

Preprints

1. M. Di Francesco, P. A. Markowich, J.-F. Pietschmann, and M.-T. Wolfram, On the Hughes' model for pedestrian ow: The one-dimensional case - Submitted preprint - PDF
2. M. Burger, M. Di Francesco, J.-F. Pietschmann and B. Schlake, Nonlinear Cross-Diffusion with Size Exclusion - Submitted preprint - PDF

Published or forthcoming papers in refereed journals

1. M. Di Francesco, A. Lorz, P. A. Markowich, Chemotaxis fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior - To appear on Discrete and Continuous Dynamical Systems, Series A - PDF
2. J. A. Carrillo, M. Di Francesco, A. Figalli, T. Laurent and D. Slepcev, Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations - To appear on Duke Mathematical Journal - PDF
3. M. Di Francesco and M. Twarogowska, Asymptotic stability of constant steady states for a 2 x 2 reaction--diffusion system arising in cancer modelling - To appear on Math. Comp. modelling - PDF
4. M. Di Francesco and D. Donatelli, Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models, To appear on DCDS-B - PDF
5. M. Di Francesco and J. Rosado, Fully parabolic Keller-Segel model for chemotaxis with prevention of overcrowding, Nonlinearity 21 (2008) 2715–2730 - PDF
6. M. Di Francesco, K. Fellner and P. A. Markowich, The entropy dissipation method for spatially inhomogeneous reaction-diffusion type systems, Proc. R. Soc. A 464 (2008) 3273-3300 - PDF
7. M. Burger and M. Di Francesco, Large time behavior of nonlocal aggregation models with nonlinear diffusion, Networks and Heterogeneous Media, 3 (4), 2008, 749-785 PDF
8. J. A. Carrillo, M. Di Francesco and C. Lattanzio, Contractivity and asymptotics in Wasserstein metrics for viscous nonlinear scalar conservation laws, Bollettino U.M.I. (8) 10-B (2007), 277-292 - PDF
9. M. Di Francesco, K. Fellner and H. Liu, A non-local conservation law with nonlinear "radiation" inhomogeneity, J. Hyperbolic Differ. Equ. 5 (2008), no. 1, 1-23
10. M. Di Francesco and M. Wunsch, Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models, Monatsh. Math. 154 (2008), 39-50
11. M. Di Francesco, Initial value problem and relaxation limits of the Hamer model for radiating gases in several space variables, NoDEA Nonlinear Differential Equations Appl. 13 (2007), no. 5-6, 531-562
12. J. A. Carrillo, M. Di Francesco and G. Toscani, Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering, Proc. Amer. Math. Soc. 135 (2007) 353-363.
13. J. A. Carrillo, M. Di Francesco and M. P. Gualdani, Semidiscretization and long-time asymptotics of nonlinear diffusion equations, Commun. Math. Sci. 5 (2007), 21-53.
14. M. Burger, M. Di Francesco and Y. Dolak-Struss, The Keller-Segel model for chemotaxis with prevention of overcrowding: linear vs. nonlinear diffusion, SIAM J. Math. Anal. 38 (2006), 1288-1315.
15. J. A. Carrillo, M. Di Francesco and C. Lattanzio, Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws, Journal of Differential Equations, 231, 2 (2006), 425-458.
16. M. Di Francesco and C. Lattanzio, Optimal L1 decay rates to diffusion waves for the Hamer model of radiating gases, Appl. Math. Lett. 19 (2006), no. 10, 1046-1052.
17. J. A. Carrillo, M. Di Francesco and G. Toscani, Intermediate asymptotics beyond homogeneity and self-similarity: long time behavior for nonlinear diffusions, Archive for Rational Mechanics and Analysis, Springer, Volume 180, Number 1 (2006), 127-149.
18. M. Di Francesco and P. A. Markowich, Entropy dissipation and Wasserstein metric methods for the Viscous Burgers' equation: convergence to diffusive waves, Partial differential equations and inverse problems, 145-165, Contemp. Math., 362, Amer. Math. Soc., Providence, RI, (2004).
19. M. Di Francesco and C. Lattanzio, Diffusive relaxation 3x3 model for a system of viscoelasticity, Asymptotic Analysis, IOS Press, 40 (3,4) (2004), 235-253.
20. M. Di Francesco and P. Marcati, Singular convergence to nonlinear diffusion waves for solutions to the Cauchy problem for the Compressible Euler equations with damping, Mathematical Models and Methods in Applied Sciences. Vol. 12, n. 9 (2002), 1317-1336.