Luigi De Rosa

activity

20172025

most citedIll-posedness of Leray solutions for the ipodissipative Navier-Stokes equations

57 citations · 89 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.AP2025

Global Existence, Hamiltonian Conservation and Vanishing Viscosity for the Surface Quasi-Geostrophic Equation

Luigi De Rosa, Mickaël Latocca, Jaemin Park

For any initial datum $θ_{0} \in L_{x}^{\frac{4}{3}}$ it is proved the existence of a global-in-time weak solution $θ \in L_{t}^{\infty} L_{x}^{\frac{4}{3}}$ to the surface quasi-geostrophic equat…

math.AP2025

Dissipation concentration in two-dimensional fluids

Luigi De Rosa, Jaemin Park

We study the dissipation measure arising in the inviscid limit of two-dimensional incompressible fluids. It is proved that the dissipation is Lebesgue in time and, for almost every…