Formal derivation and stability analysis of boundary layer models in MHD

Well-posedness for the Prandtl system without analyticity or monotonicity

(2015) David Gérard-Varet et al.   ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

On the Ill-Posedness of the Prandtl Equations in Three-Dimensional Space

(2015) Cheng-Jie Liu et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods

(2015) Nader Masmoudi et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Well-posedness of the Prandtl equation in Sobolev spaces

(2014) R. Alexandre et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

MHD shear flows with non-constant transverse magnetic field

(2012) Manuel Núñez   PHYSICS LETTERS A

Well-Posedness of the Hydrostatic MHD Equations

(2011) Michael Renardy   Journal of Mathematical Fluid Mechanics

On the ill-posedness of the Prandtl equation

(2010) David Gérard-Varet et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY