Camillo De Lellis

activity

20102016

most citedDissipative continuous Euler flows in two and three dimensions

18 citations · 24 across the 5 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

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.AP2014★ 1 cited

Dissipative Euler flows with Onsager-critical spatial regularity

Tristan Buckmaster, Camillo De Lellis, László Székelyhidi

For any $ε > 0$ we show the existence of continuous periodic weak solutions $v$ of the Euler equations which do not conserve the kinetic energy and belong to the space $L^1_t (C_x^{\…

A regularizing property of the 2D-eikonal equation

Dissipative Euler flows with Onsager-critical spatial regularity

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