The validity of the vanishing viscosity limit, that is, whether solutions of the Navier-Stokes
equations modeling viscous incompressible flows converge to solutions of the Euler …

We study the solution u ɛ to the Navier–Stokes equations in $\mathbb {R}^ 3$ perforated by
small particles centered at $(\varepsilon\mathbb {Z})^ 3$ with no-slip boundary conditions at …

Many parts of biological organisms are comprised of deformable porous media. The
biological media is both pliable enough to deform in response to an outside force and can …

We study the high Reynolds number limit of a viscous fluid in the presence of a rough
boundary. We consider the two-dimensional incompressible Navier–Stokes equations with …

This work is devoted to the long-standing open problem of homogenization of 2D perfect
incompressible fluid flows, such as the 2D Euler equations with impermeable inclusions …

We study the asymptotic behavior of the motion of an ideal incompressible fluid in a
perforated domain. The porous medium is composed of inclusions of size ε ε separated by …

We adapt methodology of Tosio Kato to establish necessary and sufficient conditions for the
solutions to the Navier–Stokes equations with Dirichlet boundary conditions to converge in a …

A homogenized limit for the 2-dimensional Euler equations in a perforated domain Page 1
ANALYSIS & PDE msp Volume 15 No. 5 2022 MATTHIEU HILLAIRET, CHRISTOPHE LACAVE …

We study the asymptotic behavior of the motion of an ideal incompressible fluid in a
perforated domain. The porous medium is composed of inclusions of size $\varepsilon …

We employ the simple corrector used by Tosio Kato in his seminal 1983 paper to establish
necessary and sufficient conditions for the solutions to the Navier-Stokes equations to …