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20122026
most citedPattern formation driven by cross--diffusion in a 2D domain

140 citations · 437 across the 16 of their papers we have counts for

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5 papers · 1 filter

math-ph2014★ 1 cited

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…

math-ph2014★ 3 cited

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…

math-ph2013★ 22 cited

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…

math-ph2013★ 53 cited

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…

math-ph2013★ 101 cited

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…