5 papers
Vorticity confinement for 2D incompressible flows in an infinite cylinder
Paolo ButtÃ, Guido Cavallaro
We study the confinement of vorticity for two-dimensional incompressible flows in an infinite cylinder. For Navier-Stokes solutions with non-negative and compactly supported initia…
Cost Functions in Economic Complexity
Alessandro Bellina, Paolo ButtÃ, Vito D. P. Servedio
Economic complexity algorithms aim to uncover the hidden capabilities that drive economic systems. Here, we present a fundamental reinterpretation of two of these algorithms, the E…
Leapfrogging vortex rings as scaling limit of Euler Equations
Paolo ButtÃ, Guido Cavallaro, Carlo Marchioro
We consider an incompressible fluid with axial symmetry without swirl, assuming initial data such that the initial vorticity is very concentrated inside small disjoint rings of…
Asymptotics of the measure in the sharp interface limit
Lorenzo Bertini, Paolo ButtÃ, Giacomo Di Gesù
We consider the measure in an interval of length , defined by a symmetric double-well potential and inverse temperature . Our results concern its asymptotic…
Long time evolution of concentrated vortex rings with large radius
Paolo ButtÃ, Guido Cavallaro, Carlo Marchioro
We study the time evolution of an incompressible fluid with axial symmetry without swirl when the vorticity is sharply concentrated on annuli of radii of the order of and…