36 citations · 87 across the 16 of their papers we have counts for
15 papers · 1 filter
Wiener Algebras Methods for Liouville Theorems on the Stationary Navier-Stokes System
Nicolas Lerner
We prove some Liouville theorems for the stationary Navier-Stokes system for incompressible fluids. We provide some sufficient conditions on the low frequency part of the solution,…
On some properties of the curl operator and their consequences for the Navier-Stokes system
Nicolas Lerner, François Vigneron
We investigate some geometric properties of the operator, based on its diagonalizationand its expression as a non-local symmetry of the pseudo-derivative $(-Δ…
An energy method for averaging lemmas
Diogo Arsénio, Nicolas Lerner
This work introduces a new approach to velocity averaging lemmas in kinetic theory. This approach -- based upon the classical energy method -- provides a powerful duality principle…
On the anti-Wick symbol as a Gelfand-Shilov generalized function
Laurent Amour, Nicolas Lerner, Jean Nourrigat
The purpose of this article is to prove that the anti-Wick symbol of an operator mapping into , which is generally not a tempered distribution, c…
Unique continuation through transversal characteristic hypersurfaces
Nicolas Lerner
We prove a unique continuation result for an ill-posed characteristic problem. A model problem of this type occurs in A.D.~Ionescu \& S.~Klainerman article (Theorem 1.1 in \cite{MR…
The onset of instability in first-order systems
Nicolas Lerner, Toan T. Nguyen, Benjamin Texier
We study the Cauchy problem for first-order quasi-linear systems of partial differential equations. When the spectrum of the initial principal symbol is not included in the real li…