Publications (12)
Uniform estimates for a family of Poisson problems: `rounding off the corners'
Benoît Daniel, Simon Labrunie, Victor Nistor
We prove \emph{uniform solvability estimates} for certain families of elliptic problems posed in a bounded family of domains (for example, a sequence that converges to another doma…
Polynomial bounds for the solutions of parametric transmission problems on smooth, bounded domains
Simon Labrunie, Hassan Mohsen, Victor Nistor
We consider a \emph{family} of elliptic second order differential operators on a domain whose coefficients depend on the space variab…
Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition
Aurore Back, Takashi Hattori, Simon Labrunie +2
We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model…
The Dirichlet problem for in an infinite sector. Application to plasma equilibria
Olivier Goubet, Simon Labrunie
We consider here a nonlinear elliptic equation in an unbounded sectorial domain of the plane. We prove the existence of a minimal solution to this equation and study its properties…
Global Solutions for the One-Dimensional Vlasov-Maxwell System for Laser-Plasma Interaction
José A. Carrillo, Simon Labrunie
We analyse a reduced 1D Vlasov--Maxwell system introduced recently in the physical literature for studying laser-plasma interaction. This system can be seen as a standard Vlasov eq…
The Fourier Singular Complement Method for the Poisson problem. Part II: axisymmetric domains
Patrick Ciarlet, Beate Jung, Samir Kaddouri +2
This paper is the second part of a threefold article, aimed at solving numerically the Poisson problem in three-dimensional prismatic or axisymmetric domains. In the first part of…