42 citations · 181 across the 22 of their papers we have counts for
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math.AP2012★ 33 cited
Nonlinear stabilitty for steady vortex pairs
Geoffrey R. Burton, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
In this article, we prove nonlinear orbital stability for steadily translating vortex pairs, a family of nonlinear waves that are exact solutions of the incompressible, two-dimensi…
math.AP2012★ 1 cited
Stability of Two-dimensional Viscous Incompressible Flows Under Three-dimensional Perturbations and Inviscid Symmetry Breaking
Claude Bardos, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes +2
In this article we consider weak solutions of the three-dimensional incompressible fluid flow equations with initial data admitting a one-dimensional symmetry group. We examine bot…