Well-posedness of the hydrostatic Navier–Stokes equations

Strong solutions to the 3D primitive equations with only horizontal dissipation: Near H 1 initial data

(2017) Chongsheng Cao et al.   JOURNAL OF FUNCTIONAL ANALYSIS

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

(2016) Emmanuel Grenier et al.   ADVANCES IN MATHEMATICS

Zero Viscosity Limit for Analytic Solutions of the Primitive Equations

(2016) Igor Kukavica et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Landau Damping in the Kuramoto Model

(2015) Bastien Fernandez et al.   ANNALES HENRI POINCARE

Almost Global Existence for the Prandtl Boundary Layer Equations

(2015) Mihaela Ignatova et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

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

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

Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

(2015) Chongsheng Cao et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

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

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 local existence of analytic solutions to the Prandtl boundary layer equations

(2013) Igor Kukavica et al.   Communications in Mathematical Sciences

On the H s Theory of Hydrostatic Euler Equations

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

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

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

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

(2009) Michael Renardy   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS