Marco Di Francesco

Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior

Marco Di Francesco, Alexander Lorz, Peter A. Markowich · Discrete and Continuous Dynamical Systems · 2010 · 235 citations

Asymptotic Behavior, Nonlinear Diffusion, Global Existence +12

The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion

Martin Burger, Marco Di Francesco, Yasmin Dolak‐Struss · SIAM Journal on Mathematical Analysis · 2006 · 120 citations

Nonlinear Diffusion, Linear Diffusion, Threshold Value +5

Nonlinear Cross-Diffusion with Size Exclusion

Martin Burger, Marco Di Francesco, Jan‐Frederik Pietschmann et al. · SIAM Journal on Mathematical Analysis · 2010 · 109 citations

Size Exclusion Effects, Nonlinear Cross-diffusion, Physics +9

Schauder estimates, Harnack inequality and Gaussian lower bound for Kolmogorov-type operators in non-divergence form

Marco Di Francesco, Sergio Polidoro · Advances in Differential Equations · 2006 · 108 citations · Full text

Spectral Theory, Invariant Harnack Inequality, Gaussian Lower Bound +9

Measure solutions for non-local interaction PDEs with two species

Marco Di Francesco, Simone Fagioli · Nonlinearity · 2013 · 105 citations

Measure Theory, Dirichlet Form, Non-local Interaction +14