OPTIMAL GEVREY STABILITY OF HYDROSTATIC APPROXIMATION FOR THE NAVIER-STOKES EQUATIONS IN A THIN DOMAIN

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

(2021) Chao Wang et al.   NONLINEARITY

On the L∞ stability of Prandtl expansions in the Gevrey class

(2021) Qi Chen et al.   Science China-Mathematics

The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

(2020) Igor Kukavica et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

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

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

Well-posedness of the linearized Prandtl equation around a non-monotonic shear flow

(2018) Dongxiang Chen et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space

(2018) Toan T. Nguyen et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

On the zero-viscosity limit of the Navier–Stokes equations in R+3 without analyticity

(2018) Mingwen Fei et al.   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Gevrey stability of Prandtl expansions for $2$ -dimensional Navier–Stokes flows

(2018) David Gérard-Varet et al.   DUKE MATHEMATICAL JOURNAL

Spectral instability of general symmetric shear flows in a two-dimensional channel

(2016) Emmanuel Grenier et al.   ADVANCES IN MATHEMATICS

Well-posedness for the Prandtl system without analyticity or monotonicity

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

Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics

(2015) Chongsheng Cao et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

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

On the Inviscid Limit Problem of the Vorticity Equations for Viscous Incompressible Flows in the Half-Plane

(2014) Yasunori Maekawa   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 Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions

(2014) Igor Kukavica et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

On the H s Theory of Hydrostatic Euler Equations

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

Vanishing Viscous Limits for 3D Navier–Stokes Equations with a Navier-Slip Boundary Condition

(2012) Lizhen Wang et al.   Journal of Mathematical Fluid Mechanics

Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain

(2010) Igor Kukavica et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

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