M. Lopes

activity

20022025

α

to Euler equations in the Dirichlet case: indifference to boundary layers

42 citations · 181 across the 22 of their papers we have counts for

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Showing 2023 · math.APShow all

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math.AP2023

Existence and analyticity of solutions of the Kuramoto-Sivashinsky equation with singular data

David M. Ambrose, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes

We prove existence of solutions to the Kuramoto-Sivashinsky equation with low-regularity data, in function spaces based on the Wiener algebra and in pseudomeasure spaces. In any sp…

math.AP2023

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 $Ω$ with initial velocity $u_{0}$ square-integrable, divergence-free and tangent to $…