66 citations · 87 across the 8 of their papers we have counts for
9 papers
Pseudomeasure distributions for nonseparable, nonlocal mean field games
David M. Ambrose, Milton C. Lopes Filho, Anna L. Mazzucato +1
For a number of important mean field games models, the Hamiltonian is non-local and not additively separable. This means that the distribution of agents appears in the Hamiltonian…
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 incompressible --Euler equations in the exterior of a vanishing disk
Adriana Valentina Busuioc, Dragos Iftimie, Milton Lopes Filho +1
In this article we consider the --Euler equations in the exterior of a small fixed disk of radius . We assume that the initial potential vorticity is compactly supported and…
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…