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math.PR2024
Asymptotics of the measure in the sharp interface limit
Lorenzo Bertini, Paolo Buttà, 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 be…
math.AP2024★ 1 cited
Long time evolution of concentrated vortex rings with large radius
Paolo Buttà, 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…