140 citations · 437 across the 16 of their papers we have counts for
19 papers
Persistence of conormal analyticity for the Euler equations in the half-space
Benjamin Ingimarson, Igor Kukavica, Marco Sammartino
We prove the persistence of conormal analyticity through the norm, with , for the 3D incompressible Euler equations in the half-space . We also e…
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…
On the local analyticity for the Euler equations
Igor Kukavica, Maria Carmela Lombardo, Marco Sammartino
In this paper, we study the existence and uniqueness of solutions to the Euler equations with initial conditions that exhibit analytic regularity near the boundary and Sobolev regu…
The inviscid inflow-outflow problem via analyticity
Igor Kukavica, Wojciech Ożański, Marco Sammartino
We consider the incompressible Euler equation on an analytic domain with nonhomogeneous boundary condition on ,…
Navier-Stokes equations in the half space with non compatible data
Andrea Argenziano, Marco Cannone, Marco Sammartino
In this paper we shall consider the Navier-Stokes equations in the half plane with Euler-type initial conditions, i.e. initial conditions which have a non-zero tangential component…
A Framework for the Time- and Frequency-Domain Assessment of High-Order Interactions in Brain and Physiological Networks
Luca Faes, Gorana Mijatovic, Yuri Antonacci +7
While the standard network description of complex systems is based on quantifying links between pairs of system units, higher-order interactions (HOIs) involving three or more unit…
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…
Effects of cross-diffusion on Turing patterns in a reaction-diffusion Schnakenberg model
G. Gambino, S. Lupo, M. Sammartino
In this paper the Turing pattern formation mechanism of a two component reaction-diffusion system modeling the Schnakenberg chemical reaction coupled to linear cross-diffusion term…
Hopf bifurcation analysis of the generalized Lorenz system with time delayed feedback control
Rachele Barresi, Maria Carmela Lombardo, Marco Sammartino
In this work we propose a feedback approach to regulate the chaotic behavior of the whole family of the generalized Lorenz system, by designing a nonlinear delayed feedback control…
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…
Turing Instability and Pattern Formation in an Activator-Inhibitor System with Nonlinear Diffusion
G. Gambino, M. C. Lombardo, M. Sammartino
In this work we study the effect of density dependent nonlinear diffusion on pattern formation in the Lengyel--Epstein system. Via the linear stability analysis we determine both t…
Cross-diffusion driven instability in a predator-prey system with cross-diffusion
Eleonora Tulumello, Maria Carmela Lombardo, Marco Sammartino
In this work we investigate the process of pattern formation induced by nonlinear diffusion in a reaction-diffusion system with Lotka-Volterra predator-prey kinetics. We show that…
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…
Singularity formation for Prandtl's equations
Francesco Gargano, Marco Sammartino, Vincenzo Sciacca
We consider Prandtl's equations for the impulsively started disk and follow the process of the formation of the singularity in the complex plane using the singularity tracking meth…
Turing pattern formation in the Brusselator system with nonlinear diffusion
G. Gambino, M. C. Lombardo, M. Sammartino +1
In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solut…
Long time behavior for a dissipative shallow water model
Vincenzo Sciacca, Maria E. Schonbek, Marco Sammartino
We consider the two-dimensional shallow water model derived by Levermore and Sammartino (Nonlinearity 14,2001), describing the motion of an incompressible fluid, confined in a shal…
Analysis of complex singularities in high-Reynolds-number Navier-Stokes solutions
Francesco Gargano, Marco Sammartino, Vincenzo Sciacca +1
Numerical solutions of the laminar Prandtl boundary-layer and Navier-Stokes equations are considered for the case of the two-dimensional uniform flow past an impulsively-started ci…
Pattern formation driven by cross--diffusion in a 2D domain
G. Gambino, M. C. Lombardo, M. Sammartino
In this work we investigate the process of pattern formation in a two dimensional domain for a reaction-diffusion system with nonlinear diffusion terms and the competitive Lotka-Vo…
European Option Pricing with Transaction Costs and Stochastic Volatility: an Asymptotic Analysis
R. E. Caflisch, G. Gambino, M. Sammartino +1
In this paper the valuation problem of a European call option in presence of both stochastic volatility and transaction costs is considered. In the limit of small transaction costs…