arXiv subjects

Dragoş Iftimie

Publications and source records attributed to Dragoş Iftimie.

2 recordsLinked to original sources

arXiv2016

Weak solutions for the $α$-Euler equations and convergence to Euler

We consider the limit $α\to0$ for the $α$-Euler equations in a two-dimensional bounded domain with Dirichlet boundary conditions. Assuming that the vorticity is bounded in $L^p$, we prove the existence of a global solution and we show the convergence towards a solution of the incompressible Euler equation with $L^p$ vorticity. The domain can be multiply-connected. We also discuss the case of the second grade fluid when both $α$ and $ν$ go to 0.

math.AP↗

arXiv2011

Self-similar asymptotics of solutions to the Navier-Stokes system in two dimensional exterior domain

We consider the 2D incompressible Navier-Stokes equations with Dirichlet boundary condition in the exterior of one obstacle. Assuming that the circulation at infinity of the velocity is sufficiently small, we prove that the large time behavior of the corresponding solution to the initial-boundary value problem is described by the Lamb-Oseen vortex. The later is the well-known explicit self-similar solution to the Navier-Stokes system in the whole space $\R^2$.

math.AP↗