L. Brandolese

activity

20032026

most citedLocal-in-space criteria for blowup in shallow water and dispersive rod equations

129 citations · 276 across the 32 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AP2014

A Liouville theorem for the Degasperis-Procesi equation

Lorenzo Brandolese

We prove that the only global, strong, spatially periodic solution to the Degasperis-Procesi equation, vanishing at some point (t0, x0), is the identically zero solution. We also e…

math.AP2014

Blowup issues for a class of nonlinear dispersive wave equations

Lorenzo Brandolese, Manuel Fernando Cortez

In this paper we consider the nonlinear dispersive wave equation on the real line, $u_{t} - u_{t xx} + [f (u)]_{x} - [f (u)]_{xxx} + [g (u) + \frac{f ^{''} ( u )}{2} u_{x}^{2}]_{x} = 0$ , that for appropri…

math.AP2014

On the effect of external forces on incompressible fluid motions at large distances

Hyeong-Ohk Bae, Lorenzo Brandolese

We study incompressible Navier--Stokes flows in~ $R^{d}$ with small and well localized data and external force~ $f$ . We establish pointwise estimates for large~ $∣ x ∣$ of the form \hbox…