On the coronal heating mechanism by the resonant absorption of Alfvén waves.
On the ground states of vector nonlinear Schrödinger equations
On the mathematical structure of test relativistic magnetofluiddynamics
On the structure of ionizing shock waves in magnetofluiddynamics.
On viscous and resistive dissipation on Alfvén waves in an isothermal atmosphere.
Optimal control and regularization to model the atmospheric electron content from satellite measurements
Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations ⋆⋆⋆
A new numerical scheme called particle-in-wavelets is proposed for the Vlasov-Poisson equations, and tested in the simplest case of one spatial dimension. The plasma distribution function is discretized using tracer particles, and the charge distribution is reconstructed using wavelet-based density estimation. The latter consists in projecting the Delta distributions corresponding to the particles onto a finite dimensional linear space spanned by...
Quasi-neutral limit for a viscous capillary model of plasma
Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries II
In this paper, we study the quasineutral limit of the isothermal Euler-Poisson equation for ions, in a domain with boundary. This is a follow-up to our previous work [5], devoted to no-penetration as well as subsonic outflow boundary conditions. We focus here on the case of supersonic outflow velocities. The structure of the boundary layers and the stabilization mechanism are different.
Quelques limites singulières oscillantes
Quelques lois de conservations issues de modèles cinétiques
Reflection and dissipation of oblique Alfvén waves in an isothermal atmosphere.
Rotating shallow water modeling of planetary, astrophysical and plasma vortical structures. (Plasma transport across a magnetic field, model of the Jupiter's GRS, prediction of existence of giant vortices in spiral galaxies).
Solution numérique de l'équation des ondes d'Alfven avec un terme de dissipation par résistance
Solutions stationnaires des équations de Vlasov-Poisson à symétries cylindriques
Solving the Vlasov equation in complex geometries
This paper introduces an isoparametric analysis to solve the Vlasov equation with a semi-Lagrangian scheme. A Vlasov-Poisson problem modeling a heavy ion beam in an axisymmetric configuration is considered. Numerical experiments are conducted on computational meshes targeting different geometries. The impact of the computational grid on the accuracy and the computational cost are shown. The use of analytical mapping or Bézier patches does not induce...
Stationary voltage current characteristics of a plasma
Steady tearing mode instabilities with a resistivity depending on a flux function
Steady tearing mode instabilities with a resistivity depending on a flux function
We consider plasma tearing mode instabilities when the resistivity depends on a flux function (ψ), for the plane slab model. This problem, represented by the MHD equations, is studied as a bifurcation problem. For so doing, it is written in the form (I(.)-T(S,.)) = 0, where T(S,.) is a compact operator in a suitable space and S is the bifurcation parameter. In this work, the resistivity is not assumed to be a given quantity (as usually done in previous papers, see [1,2,5,7,8,9,10], but it depends...
Streamline diffusion methods for the Vlasov-Poisson equation