42 citations · 181 across the 22 of their papers we have counts for
4 papers · 2 filters
Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi +1
The second-grade fluid equations are a model for viscoelastic fluids, with two parameters: , corresponding to the elastic response, and , corresponding to viscosity. Fo…
Convergence of the 2D Euler- to Euler equations in the Dirichlet case: indifference to boundary layers
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi +1
In this article we consider the Euler- system as a regularization of the incompressible Euler equations in a smooth, two-dimensional, bounded domain. For the limiting Euler syst…
Serfati solutions to the 2D Euler equations on exterior domains
David M. Ambrose, James P. Kelliher, Milton C. Lopes Filho +1
We prove existence and uniqueness of a weak solution to the incompressible 2D Euler equations in the exterior of a bounded smooth obstacle when the initial data is a bounded diverg…
Wild solutions for 2D incompressible ideal flow with passive tracer
Anne Bronzi, Milton Lopes Filho, Helena Nussenzveig Lopes
In Ann. Math., 170 (2009), 1417-1436, C. De Lellis and L. Székelyhidi Jr. constructed wild solutions of the incompressible Euler equations using a reformulation of the Euler equati…