312 citations · 789 across the 22 of their papers we have counts for
3 papers · 1 filter
Formal Derivation and Stability Analysis of Boundary Layer Models in MHD
David Gerard-Varet, Marco Prestipino
We provide a systematic derivation of boundary layer models in magnetohydrodynamics (MHD), through an asymptotic analysis of the incompressible MHD system. We recover classical lin…
Gevrey Stability of Prandtl Expansions for 2D Navier-Stokes
David Gerard-Varet, Yasunori Maekawa, Nader Masmoudi
We investigate the stability of boundary layer solutions of the two-dimensional incompressible Navier-Stokes equations. We consider shear flow solutions of Prandtl type : $$ u^ν(t,…
Well-posedness of linearized Taylor equations in magnetohydrodynamics
Isabelle Gallagher, David Gerard-Varet
This paper is a first step in the study of the so-called Taylor model, introduced by J.B. Taylor in \cite{Taylor}. This system of nonlinear PDE's is derived from the viscous incomp…