77 citations · 253 across the 37 of their papers we have counts for
4 papers · 2 filters
Stability properties of the regular set for the Navier--Stokes equation
Renato Lucà, Piero D'Ancona
We investigate the size of the regular set for small perturbations of some classes of strong large solutions to the Navier--Stokes equation. We consider perturbations of the data w…
Global existence of small equivariant wave maps on rotationally symmetric manifolds
Piero D'Ancona, Qidi Zhang
We introduce a class of rotationally invariant manifolds, which we call \emph{admissible}, on which the wave flow satisfies smoothing and Strichartz estimates. We deduce the global…
Scattering in the energy space for the NLS with variable coefficients
Biagio Cassano, Piero D'Ancona
We consider the NLS with variable coefficients in dimension \begin{equation*} i \partial_t u - Lu +f(u)=0, \qquad Lv=\nabla^{b}\cdot(a(x)\nabla^{b}v)-c(x)v, \qquad \nabla^{…
On the regularity set and angular integrability for the Navier--Stokes equation
Piero D'Ancona, Renato Lucà
We investigate the size of the regular set for suitable weak solutions of the Navier--Stokes equation, in the sense of Caffarelli--Kohn--Nirenberg. We consider initial data in weig…