Since the 1980s, Fourier analysis methods have become of ever greater interest in the study
of linear and nonlinear partial differential equations. In particular, techniques based on …

Formulated and intensively studied at the beginning of the nineteenth century, the classical
partial differential equations of mathematical physics represent the foundation of our …

1. Introduction Page 1 Zeitschrift für Analysis und ihre Anwendungen Journal for Analysis and
its Applications Volume 18 (1999), No. 3, 639-649 On Axially Symmetric Flows in R3 S …

Asymptotics and stability for global solutions to the Navier-Stokes equations Page 1 ANNA
L E S D E L’INSTITU T FO U RIER ANNALES DE L’INSTITUT FOURIER Isabelle …

In previous works by the first two authors, classes of initial data to the three-dimensional,
incompressible Navier-Stokes equations were presented, generating a global smooth …

This text consists in notes on a series of lectures given in March 2004 in the De Giorgi center
during a semester about” Phase Space Analysis of Partial Differential Equations”. The goal …

In [J.-Y. Chemin, I. Gallagher, On the global wellposedness of the 3-D Navier–Stokes
equations with large initial data, Annales Scientifiques de l'École Normale Supérieure de …

In this paper, we investigate the large‐time decay and stability to any given global smooth
solutions of the 3‐D incompressible inhomogeneous Navier‐Stokes equations. In particular …

In two earlier papers by the authors, classes of initial data for the three dimensional,
incompressible Navier-Stokes equations were presented, generating a global smooth …

We consider the periodic 3D Navier-Stokes equations and we take the initial data of the form
UQ= VQ+ WQ, where VQ does not depend on the third variable. We prove that, in order to …