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math.AP2024
The Navier-Stokes Cauchy problem in a class of weighted function spaces
Paolo Maremonti, Vittorio Pane
We consider the Navier-Stokes Cauchy problem with an initial datum in a weighted Lebesgue space. The weight is a radial function increasing at infinity. Our study partially follows…
math.AP2024
On the Asymptotic Behavior in Time of the Kinetic Energy in a Rigid Body-Liquid Problem
Giovanni P. Galdi, Paolo Maremonti
We give sufficient conditions on the initial data for the decay in time of the kinetic energy, , of solutions to the system of equations describing the motion of a rigid body in…