3 papers
math.AP2025
Long-time existence for the 2D ideal Boussinesq and the 2D density-dependent Euler equations
Hantaek Bae, Milton Lopes Filho, Anna Mazzucato +1
We establish long-time existence of smooth solutions to the 2D ideal Boussinesq equations and to the 2D non-homogeneous incompressible Euler equations for initial data consisting o…
math.AP2025
Existence and analyticity of solutions of nonlinear parabolic model equations with singular data
David Ambrose, Milton Lopes Filho, Helena Nussenzveig Lopes
We explore two approaches to proving existence and analyticity of solutions to nonlinear parabolic differential equations. One of these methods works well for more general nonlinea…
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…