66 citations · 96 across the 9 of their papers we have counts for
10 papers
Incompressible 2D Euler equations with non-decaying random initial vorticity
Gautam Iyer, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
Consider a random initial vorticity , where is bounded and compactly supported and are independent, uniformly bounded, m…
Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus
D. M. Ambrose, M. C. Lopes Filho, H. J. Nussenzveig Lopes
Lei and Lin have recently given a proof of a global mild solution of the three-dimensional Navier-Stokes equations in function spaces based on the Wiener algebra. An alternative pr…
The Vanishing viscosity limit for some symmetric flows
Gung-Min Gie, James P. Kelliher, Milton C. Lopes Filho +2
The focus of this paper is on the analysis of the boundary layer and the associated vanishing viscosity limit for two classes of flows with symmetry, namely, Plane-Parallel Channel…
Flows of vector fields with point singularities and the vortex-wave system
Gianluca Crippa, Milton C. Lopes Filho, Evelyne Miot +1
The vortex-wave system is a model for the evolution of 2D incompressible fluids in which the vorticity is split into a finite sum of Dirac masses plus an Lp part. Existence of a we…
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…
Vanishing Viscosity Limits and Boundary Layers for Circularly Symmetric 2D Flows
M. C. Lopes Filho, A. L. Mazzucato, H. J. Nussenzveig Lopes +1
We continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes [LMN], on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary,…