Global well-posedness, regularity and blow-up for the β-CCF model

LCF Ferreira, VVC Moitinho - Journal of Differential Equations, 2023‏ - Elsevier
The paper is concerned with the β-CCF model which is a 1D nonlocal nonlinear transport
model. The velocity is coupled via a composition of the Hilbert transform and Riesz …

Global smoothness for a 1D supercritical transport model with nonlocal velocity

L Ferreira, V Moitinho - Proceedings of the American Mathematical Society, 2020‏ - ams.org
We are concerned with a nonlocal transport 1D-model with supercritical dissipation
$\gamma\in (0, 1) $ in which the velocity is coupled via the Hilbert transform, namely the so …