3 papers
math.AP2024
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
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…
math.FA2023
A Logarithmic Uncertainty Principle for Functions with Radial Symmetry
Jacopo Bellazzini, Matteo Nesi
In this note, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein-Weiss inequality. The difficulty is to prove…