Tarek M. Elgindi

Remarks on the Inviscid Limit for the Navier--Stokes Equations for Uniformly Bounded Velocity Fields

We consider the vanishing viscosity limit of the Navier-Stokes equations in a half space, with Dirichlet boundary conditions. We prove that the inviscid limit holds in the energy norm if the product of the components of the Navier-Stokes solutions are equicontinuous at

Ill-posedness for the Incompressible Euler Equations in Critical Sobolev Spaces

x_2=0

On Some Electroconvection Models

. A sufficient condition for this to hold is that the tangential Navier-Stokes velocity remains uniformly bounded and has a uniformly integrable tangential gradient near the boundary.

On 2d Incompressible Euler Equations with Partial Damping

For the 2D Euler equation in vorticity formulation, we construct localized smooth solutions whose critical Sobolev norms become large in a short period of time, and solutions which initially belong to

Global Regularity for Some Oldroyd‐B Type Models

L^\infty \cap H^1

Symmetries and Critical Phenomena in Fluids

L∞∩H1 but escapes

Remarks on functions with bounded Laplacian

H^1