Publications Influence

Share This Author

From Newton to Boltzmann: Hard Spheres and Short-range Potentials

- I. Gallagher, L. Saint-Raymond, B. Texier
- Physics
- 28 August 2012

We provide a rigorous derivation of the Boltzmann equation as the mesoscopic limit of systems of hard spheres, or Newtonian particles interacting via a short-range potential, as the number of… Expand

Fluids with anisotropic viscosity

- J. Chemin, B. Desjardins, I. Gallagher, E. Grenier
- Mathematics
- 1 March 2000

Motivated by rotating fluids, we study incompressible fluids with anisotropic viscosity. We use anisotropic spaces that enable us to prove existence theorems for less regular initial data than usual.… Expand

Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations

- J. Chemin, B. Desjardins, I. Gallagher, E. Grenier
- Geology
- 15 June 2006

Global regularity for some classes of large solutions to the Navier-Stokes equations

- J. Chemin, I. Gallagher, M. Paicu
- Mathematics
- 8 July 2008

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 solution although the… Expand

On Global Infinite Energy Solutions¶to the Navier-Stokes Equations¶in Two Dimensions

- I. Gallagher, F. Planchon
- Mathematics
- 1 March 2002

Abstract This paper studies the bidimensional Navier–Stokes equations with large initial data in the homogeneous Besov space . As long as r,q < +∞, global existence and uniqueness of solutions are… Expand

On the role of quadratic oscillations in nonlinear Schrödinger equations

- R. Carles, C. Fermanian-Kammerer, I. Gallagher
- Mathematics
- 12 December 2002

Large, global solutions to the Navier-Stokes equations, slowly varying in one direction

- J. Chemin, I. Gallagher
- Mathematics
- 29 October 2007

In to previous papers by the authors, classes of initial data to the three dimensional, incompressible Navier-Stokes equations were presented, generating a global smooth solution although the norm of… Expand

Uniqueness for the two-dimensional Navier–Stokes equation with a measure as initial vorticity

- I. Gallagher, T. Gallay
- Mathematics
- 15 June 2004

Abstract.We show that any solution of the two-dimensional Navier-Stokes equation whose vorticity distribution is uniformly bounded in L1(R2) for positive times is entirely determined by the trace of… Expand

Blow-up of Critical Besov Norms at a Potential Navier–Stokes Singularity

- I. Gallagher, G. Koch, F. Planchon
- Mathematics
- 15 July 2014

We prove that if an initial datum to the incompressible Navier–Stokes equations in any critical Besov space $${\dot B^{-1+\frac 3p}_{p,q}({\mathbb {R}}^{3})}$$B˙p,q-1+3p(R3), with $${3 < p, q <… Expand

...

1

2

3

4

5

...