3 papers
math.AP2026
Absence of local anomalous dissipation and local energy balance in 2D incompressible flows away from the boundary
Tobias Barker, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
For the 2D Navier-Stokes equations with no-slip boundary condition, we consider the issue of whether anomalous dissipation away from the boundary vanishes. In particular, we show t…
math.AP2025
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…
math.AP2025
Large time behavior for the 3D Navier-Stokes with Navier boundary conditions
James P. Kelliher, Christophe Lacave, Milton C. Lopes Filho +2
We study the three-dimensional incompressible Navier-Stokes equations in a smooth bounded domain with initial velocity square-integrable, divergence-free and tangent to…