6 citations · 11 across the 3 of their papers we have counts for
4 papers
The Magnetized Vlasov-Ampère system and the Bernstein-Landau paradox
Frédérique Charles, Bruno Després, Alexandre Rege +1
We study the Bernstein-Landau paradox in the collisionless motion of an electrostatic plasma in the presence of a constant external magnetic field. The Bernstein-Landau paradox con…
A projection algorithm on the set of polynomials with two bounds
Martin Campos Pinto, Frédérique Charles, Bruno Després +1
The motivation of this work stems from the numerical approximation of bounded functions by polynomials satisfying the same bounds. The present contribution makes use of the recent…
Convergence of a linearly transformed particle method for aggregation equations
Martin Campos Pinto, José A. Carrillo, Frédérique Charles +1
We study a linearly transformed particle method for the aggregation equation with smooth or singular interaction forces. For the smooth interaction forces, we provide convergence e…
Nonlinear stability of a Vlasov equation for magnetic plasmas
Frédérique Charles, Bruno Després, Benoît Perthame +1
The mathematical description of laboratory fusion plasmas produced in Tokamaks is still challenging. Complete models for electrons and ions, as Vlasov-Maxwell systems, are computat…