29 citations · 46 across the 5 of their papers we have counts for
5 papers
Vorticity measures and the inviscid limit
Peter Constantin, Milton Lopes Filho, Helena Nussenzveig Lopes +1
We consider a sequence of Leray-Hopf weak solutions of the 2D Navier-Stokes equations on a bounded domain, in the vanishing viscosity limit. We provide sufficient conditions on the…
Confinement of vorticity for the 2D Euler-alpha equations
David Ambrose, Milton Lopes Filho, Helena Nussenzveig Lopes
In this article we consider weak solutions of the Euler- equations in the full plane. We take, as initial unfiltered vorticity, an arbitrary nonnegative, compactly supported, bo…
Incompressible flow around a small obstacle and the vanishing viscosity limit
D. Iftimie, M. C. Lopes Filho, H. J. Nussenzveig Lopes
In this article we consider viscous flow in the exterior of an obstacle satisfying the standard no-slip boundary condition at the surface of the obstacle. We seek conditions under…
Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence
Milton C. Lopes Filho, Anna L. Mazzucato, Helena J. Nussenzveig Lopes
Enstrophy, half the integral of the square of vorticity, plays a role in 2D turbulence theory analogous to that played by kinetic energy in the Kolmogorov theory of 3D turbulence.…
Two dimensional incompressible ideal flow around a small obstacle
D. Iftimie, M. C. Lopes Filho, H. J. Nussenzveig Lopes
In this article we study the asymptotic behavior of incompressible, ideal, time-dependent two dimensional flow in the exterior of a single smooth obstacle when the size of the obst…