18 citations · 60 across the 23 of their papers we have counts for
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On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the result
Paolo Maremonti
In this note we furnish a new result concerning the well known théorème de structure by Leray related to a weak solution to the Navier-Stokes equations. We are able to furnish a ne…
On the interaction between a rigid-body and a viscous-fluid: existence of a weak solution and a suitable Théorème de Structure
Paolo Maremonti, Filippo Palma
In this paper, we prove the existence and a partial regularity of a weak solution to the system governing the interaction between a rigid body and a viscous incompressible Newtonia…
On the weak solutions to the navier-Stokes equations: a possible gap related to the energy equality
Paolo Maremonti
It is well known that a Leray-Hopf weak solution enjoys an energy inequality. Here, we investigate the energy equality related to a suitable weak solution to the Navier-Stokes init…
On the spatial asymptotic decay of a suitable weak solution to the Navier-Stokes Cauchy problem
Francesca Crispo, Paolo Maremonti
We prove space-time decay estimates of suitable weak solutions to the Navier-Stokes Cauchy problem, corresponding to a given asymptotic behavior of the initial data of the same ord…
A remark on the partial regularity of a suitable weak solution to the Navier-Stokes Cauchy problem
Francesca Crispo, Paolo Maremonti
Starting from the partial regularity results for suitable weak solutions to the Navier-Stokes Cauchy problem by Caffarelli, Kohn and Nirenberg, as a corollary, under suitable assum…