28 citations · 50 across the 10 of their papers we have counts for
10 papers
Asymptotic-preserving methods for an anisotropic model of electrical potential in a tokamak
Philippe Angot, Thomas Auphan, Olivier Guès
A 2D nonlinear model for the electrical potential in the edge plasma in a tokamak generates a stiff problem due to the low resistivity in the direction parallel to the magnetic fie…
An optimal penalty method for a hyperbolic system modeling the edge plasma transport in a tokamak
Philippe Angot, Thomas Auphan, Olivier Guès
The penalization method is used to take account of obstacles, such as the limiter, in a tokamak. Because of the magnetic confinement of the plasma in a tokamak, the transport occur…
Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions
Olivier Gues, Guy Metivier, Mark Williams +1
We initiate the study of noncharacteristic boundary layers in hyperbolic-parabolic problems with Neumann boundary conditions. More generally, we study boundary layers with mixed Di…
Semilinear geometric optics with boundary amplification
Jean-Francois Coulombel, Olivier Guès, Mark Williams
We study weakly stable semilinear hyperbolic boundary value problems with highly oscillatory data. Here weak stability means that exponentially growing modes are absent, but the so…
Singular pseudodifferential calculus for wavetrains and pulses
Jean-Francois Coulombel, Olivier Guès, Mark Williams
We develop a singular pseudodifferential calculus. The symbols that we consider do not satisfy the standard decay with respect to the frequency variables. We thus adopt a strategy…
Existence and stability of noncharacteristic boundary-layers for the compressible Navier-Stokes and viscous MHD equations
Olivier Gues, Guy Metivier, Mark Williams +1
For a general class of hyperbolic-parabolic systems including the compressible Navier-Stokes and compressible MHD equations, we prove existence and stability of noncharacteristic v…