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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.AP2025
Fine dissipative properties of Euler solutions with measure first derivatives
Marco Inversi
We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As conseque…
math.AP2025
Intermittency and Dissipation Regularity in Turbulence
Luigi De Rosa, Theodore D. Drivas, Marco Inversi +1
We lay down a geometric-analytic framework to capture properties of energy dissipation within weak solutions to the incompressible Euler equations. For solutions with spatial Besov…