5 papers
The Fast Limit Model Associated With The Euler-Maxwell-Two-Fluid System
Nicolas Besse, Christophe Cheverry
The filtering method applied at the level of the Euler-Maxwell-Two-Fluid system produces a Fast Limit Model (FLM) which captures up to the electron depth essential features of plas…
The incompressible limit of the Euler-Maxwell two-fluid system
Nicolas Besse, Christophe Cheverry
In this text, the filtering unitary group method developed, among others, by S. Schochet is adapted to prove the existence and well-posedness of modulation equations describing the…
Singular limits of anisotropic weak solutions to compressible magnetohydrodynamics
Nicolas Besse, Christophe Cheverry
The aim is to justify rigorously the so-called reduced magnetohydrodynamic model (abbreviated as RMHD), which is widely used in fusion, space and astrophysical plasmas. Motivated b…
The equations of extended magnetohydrodynamics
Christophe Cheverry, Nicolas Besse
Extended magnetohydrodynamics (XMHD) is a fluid plasma model generalizing ideal MHD by taking into account the impact of Hall drift effects and the influence of electron inertial e…
Novel spectral methods for shock capturing and the removal of tygers in computational fluid dynamics
Sai Swetha Venkata Kolluru, Nicolas Besse, Rahul Pandit
Spectral methods yield numerical solutions of the Galerkin-truncated versions of nonlinear partial differential equations involved especially in fluid dynamics. In the presence of…