101 citations · 256 across the 12 of their papers we have counts for
13 papers
A Damage-Driven Model for Duchenne Muscular Dystrophy: Early-Stage Dynamics and Invasion Thresholds
Gaetana Gambino, Francesco Gargano, Alessandra Rizzo +1
We introduce a spatially extended mathematical model for Duchenne muscular dystrophy based on a damage-driven paradigm, in which immune recruitment is triggered by tissue injury. T…
Nonclassical Turing instabilities induced by superdiffusive transport in FitzHugh-Nagumo dynamics
Rossella Rizzo, Gaetana Gambino, Vincenzo Sciacca +1
We investigate diffusion-driven instabilities in a FitzHugh-Nagumo reaction-diffusion system with superdiffusive transport, modeled by fractional Laplacian operators with different…
Complex singularities and PDEs
R. E. Caflisch, F. Gargano, M. Sammartino +1
In this paper we give a review on the computational methods used to characterize the complex singularities developed by some relevant PDEs. We begin by reviewing the singularity tr…
Viscous-Inviscid Interactions in a Boundary-Layer Flow Induced by a Vortex Array
Francesco Gargano, Marco Sammartino, Vincenzo Sciacca +1
In this paper we investigate the asymptotic validity of boundary layer theory. For a flow induced by a periodic row of point-vortices, we compare Prandtl's solution to Navier-Stoke…
A spectral approach to a constrained optimization problem for the Helmholtz equation in unbounded domains
Giulio Ciraolo, Francesco Gargano, Vincenzo Sciacca
We study some convergence issues for a recent approach to the problem of transparent boundary conditions for the Helmholtz equation in unbounded domains. The approach is based on t…
High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex
Francesco Gargano, Marco Sammartino, Vincenzo Sciacca
We compute the solutions of Prandtl's and Navier-Stokes equations for the two dimensional flow induced by a rectilinear vortex interacting with a boundary in the half plane. For th…