Camillo De Lellis

activity

20102014

most citedDissipative continuous Euler flows in two and three dimensions

18 citations · 22 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2014★ 4 cited

A regularizing property of the $2 D$ -eikonal equation

Camillo De Lellis, Radu Ignat

We prove that any $2$ -dimensional solution $ψ \in W_{l oc}^{1 + \frac{1}{3}, 3}$ of the eikonal equation has locally Lipschitz gradient $\nabla ψ$ except at a locally finite number of vo…

math.AP2012★ 18 cited

Dissipative continuous Euler flows in two and three dimensions

Antoine Choffrut, Camillo De Lellis, László Székelyhidi

Recently, two of these authors construct dissipative continuous (weak) solutions to the incompressible Euler equations on the three-dimensional torus $T^{3}$ . The building bl…

math.DG2010

Almost-Schur lemma

Camillo De Lellis, Peter M. Topping

Schur's lemma states that every Einstein manifold of dimension $n \geq 3$ has constant scalar curvature. Here $(M, g)$ is defined to be Einstein if its traceless Ricci tensor $$\Rico…

A regularizing property of the 2D-eikonal equation

Dissipative continuous Euler flows in two and three dimensions

Almost-Schur lemma

A regularizing property of the $2 D$ -eikonal equation