21 citations · 30 across the 4 of their papers we have counts for
4 papers · 1 filter
Boundary layers and the vanishing viscosity limit for incompressible 2D flow
Milton C. Lopes Filho
This manuscript is a survey on results related to boundary layers and the vanishing viscosity limit for incompressible flow. It is the lecture notes for a 10 hour minicourse given…
Two-dimensional incompressible ideal flows in a noncylindrical material domain
Flavia Z. Fernandes, Milton C. Lopes Filho
The purpose of this work is to prove existence of a weak solution of the two dimensional incompressible Euler equations on a noncylindrical domain consisting of a smooth, bounded,…
Two-dimensional incompressible viscous flow around a small obstacle
D. Iftimie, M. C. Lopes Filho, H. J. Nussenzveig Lopes
In this work we study the asymptotic behavior of viscous incompressible 2D flow in the exterior of a small material obstacle. We fix the initial vorticity and the circulation…
On the inviscid limit for 2D incompressible flow with Navier friction condition
M. C. Lopes Filho, H. J. Nussenzveig Lopes, G. V. Planas
In [1], T. Clopeau, A. Mikelić, and R. Robert studied the inviscid limit of the 2D incompressible Navier-Stokes equations in a bounded domain subject to Navier friction-type bounda…