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math.AP2026
An -theory for global weak solutions to the Navier-Stokes equations in exterior domains
Filippo Palma
In this paper, we consider the Navier-Stokes initial boundary value problem in exterior domains with initial data in the Lebesgue space , , and show the existence…
math.AP2025
A new proof of the Théorème de Structure related to a weak solution to the Navier-Stokes equations
Paolo Maremonti, Filippo Palma
It is well known that a Leray's weak solution to the Navier-Stokes Cauchy problem enjoys a partial regularity which is known in the literature as the Théorème de Structure of a Ler…
math.AP2025
The motion of a rigid body in a viscous fluid: new results for strong solutions, uniqueness and integrability properties
Paolo Maremonti, Filippo Palma
In this note, we show two results in the setting of Galdi-Silvestre strong solutions for the rigid body-viscous fluid interaction. The former, under an additional integrability ass…