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math.AP2025
-convergence for higher order nonlocal phase transitions
Hardy Chan, Serena Dipierro, Mattia Freguglia +2
For every , we study the asymptotic behavior of the -rescaled sum of the -fractional Allen-Cahn energy and the squared -norm of its first variation…
math.AP2024
Inhomogeneous incompressible Euler with codimension singular structures
Marco Inversi, Alessandro Violini
This paper is concerned with the inhomogeneous incompressible Euler system. We establish a Duchon--Robert type approximation theorem for the distribution describing the local energ…
math.AP2024
The helicity distribution for the 3D incompressible Euler equations
Marco Inversi, Massimo Sorella
This paper is concerned with the helicity associated to solutions of the 3D incompressible Euler equations. We show that under mild conditions on the regularity of the velocity fie…