Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip

Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data

(2022) Marius Paicu et al.   Science China-Mathematics

Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data

(2021) Marius Paicu et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Gevrey stability of hydrostatic approximate for the Navier–Stokes equations in a thin domain

(2021) Chao Wang et al.   NONLINEARITY

Well-posedness of the hydrostatic Navier–Stokes equations

(2020) David Gérard-Varet et al.   Analysis & PDE

On the hydrostatic approximation of the Navier-Stokes equations in a thin strip

(2020) Marius Paicu et al.   ADVANCES IN MATHEMATICS

Separation for the stationary Prandtl equation

(2019) Anne-Laure Dalibard et al.   Publications Mathematiques de l IHES

Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points

(2019) Tong Yang et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Spectral instability of characteristic boundary layer flows

(2016) Emmanuel Grenier et al.   DUKE MATHEMATICAL JOURNAL

Well-posedness for the Prandtl system without analyticity or monotonicity

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

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

Blowup of solutions of the hydrostatic Euler equations

(2014) Tak Kwong Wong   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

On the H s Theory of Hydrostatic Euler Equations

(2012) Nader Masmoudi et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Hyperbolic Navier-Stokes equations I: Local well-posedness

(2012) Reinhard Racke et al.   Evolution Equations and Control Theory

Hyperbolic Navier-Stokes equations II: Global existence of small solutions

(2012) Reinhard Racke et al.   Evolution Equations and Control Theory

On the ill-posedness of the Prandtl equation

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

Ill-posedness of the Hydrostatic Euler and Navier–Stokes Equations

(2009) Michael Renardy   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS