2 papers
math.AP2005
Two-dimensional incompressible viscous flow around a small obstacle
D. Iftimie, M. C. Lopes Filho, H. J. Nussenzveig Lopes
In this work we study the asymptotic behavior of viscous incompressible 2D flow in the exterior of a small material obstacle. We fix the initial vorticity and the circulation…
math.AP2004
Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence
Milton C. Lopes Filho, Anna L. Mazzucato, Helena J. Nussenzveig Lopes
Enstrophy, half the integral of the square of vorticity, plays a role in 2D turbulence theory analogous to that played by kinetic energy in the Kolmogorov theory of 3D turbulence.…