6 papers
Global Existence, Hamiltonian Conservation and Vanishing Viscosity for the Surface Quasi-Geostrophic Equation
Luigi De Rosa, Mickaël Latocca, Jaemin Park
For any initial datum it is proved the existence of a global-in-time weak solution to the surface quasi-geostrophic equ…
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…
Hamiltonian compactness and dissipation for the generalized SQG equation in the inviscid limit
Luigi De Rosa, Utku Kemal Yuzbasioglu
We consider the dissipative generalized Surface Quasi-Geostrophic equation with dissipation given by any fractional power of the Laplacian. In the inviscid limit, it is proved that…
Quantitative enstrophy bounds for measure vorticities
Luigi De Rosa, Margherita Marcotullio
We consider the two-dimensional incompressible Navier-Stokes equations with measure initial vorticity. By means of improved Nash inequalities, we establish quantitative estimates f…
No anomalous dissipation in two-dimensional incompressible fluids
Luigi De Rosa, Jaemin Park
We prove that any sequence of vanishing viscosity Leray-Hopf solutions to the periodic two-dimensional incompressible Navier-Stokes equations does not display anomalous dissipation…
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…