42 citations · 181 across the 22 of their papers we have counts for
3 papers · 2 filters
Global existence of a weak solution of the incompressible Euler equations with helical symmetry and vorticity
Anne C. Bronzi, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
We prove the global existence of a helical weak solution of the 3D Euler equations, in full space, for an initial velocity with helical symmetry, without swirl and whose initial vo…
Weak vorticity formulation for the incompressible Euler equations in domains with boundary
Dragos Iftimie, Milton Lopes Filho, Helena Nussenzveig Lopes +1
In this article we examine the interaction of incompressible 2D flows with compact material boundaries. Our focus is the dynamic behavior of the circulation of velocity around boun…
Planar limits of three-dimensional incompressible flows with helical symmetry
Milton C. Lopes Filho, Anna L. Mazzucato, Dongjuan Niu +2
Helical symmetry is invariance under a one-dimensional group of rigid motions generated by a simultaneous rotation around a fixed axis and translation along the same axis. The key…