3 citations · 3 across the 2 of their papers we have counts for
5 papers
Plasma echoes near stable Penrose data
Emmanuel Grenier, Toan T. Nguyen, Igor Rodnianski
In this paper we construct particular solutions to the classical Vlasov-Poisson system near stable Penrose initial data on that are a combination of…
Generator functions and their applications
Emmanuel Grenier, Toan T. Nguyen
In [Grenier-Nguyen], we introduced so called {\em generators} functions to precisely follow the regularity of analytic solutions of Navier Stokes equations. In this short note, we…
Green function for linearized Navier-Stokes around a boundary shear layer profile for long wavelengths
Emmanuel Grenier, Toan T. Nguyen
This paper is the continuation of a program, initiated in Grenier-Nguyen [8,9], to derive pointwise estimates on the Green function of Orr Sommerfeld equations. In this paper we fo…
Green function for linearized Navier-Stokes around a boundary layer profile: near critical layers
Emmanuel Grenier, Toan T. Nguyen
This is a continuation and completion of the program (initiated in \cite{GrN1,GrN2}) to derive pointwise estimates on the Green function and sharp bounds on the semigroup of linear…
Large time monotonicity of solutions of reaction-diffusion equations in R^N
Emmanuel Grenier, François Hamel
In this paper, we consider nonnegative solutions of spatially heterogeneous Fisher-KPP type reaction-diffusion equations in the whole space. Under some assumptions on the initial c…