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most citedDissipation for codimension 1 singular structures in the incompressible Euler equations

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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★ 1 cited

Dissipation for codimension 1 singular structures in the incompressible Euler equations

Luigi De Rosa, Marco Inversi, Matteo Nesi

We consider weak solutions to the incompressible Euler equations. It is shown that energy conservation holds in any Onsager critical class in which smooth functions are dense. The…

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…

math.AP2024

-Limsup estimate for a nonlocal approximation of the Willmore functional

Hardy Chan, Mattia Freguglia, Marco Inversi

We propose a possible nonlocal approximation of the Willmore functional, in the sense of Gamma-convergence, based on the first variation ot the fractional Allen-Cahn energies, and…

math.AP2024

Normal traces and applications to continuity equations on bounded domains

Gianluca Crippa, Luigi De Rosa, Marco Inversi +1

In this work, we study several properties of the normal Lebesgue trace of vector fields introduced by the second and third author in [22] in the context of the energy conservation…