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math.AP2021
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity
Thierry Gallay, Corrado Mascia
Motivated by tumor growth in Cancer Biology, we provide a complete analysis of existence and non-existence of invasive fronts for the reduced Gatenby--Gawlinski model \[ \partial_t…
math.AP2021
Propagating Fronts for a Viscous Hamer-Type system
Giada Cianfarani Carnevale, Corrado Lattanzio, Corrado Mascia
Motivated by radiation hydrodynamics, we analyse a 2x2 system consisting of a one-dimensional viscous conservation law with strictly convex flux -- the viscous Burgers' equation be…