activity
20122022
most citedA note on the Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations

18 citations · 19 across the 4 of their papers we have counts for

collaborators

10 papers

math.AP2022

A new proof of existence in the L3-setting of solutions to the Navier-Stokes Cauchy problem

F. Crispo, P. Maremonti

We investigate on the existence of solutions with initial datum U0 in L3. Our chief goal is to establish the existence interval (0,T) uniquely considering the size and the absolute…

math.AP2020

Navier-Stokes equations: an analysis of a possible gap to achieve the energy equality

Francesca Crispo, Carlo Romano Grisanti, Paolo Maremonti

The paper is concerned with the IBVP of the Navier-Stokes equations. The goal is the attempt to construct a weak solution enjoying an energy equality. This result is a natural cont…

math.AP2019

Some new properties of a suitable weak solution to the Navier-Stokes equations

F. Crispo, C. R. Grisanti, P. Maremonti

The paper is concerned with the IBVP of the Navier-Stokes equations. The goal is the construction of a weak solution enjoying some new properties. Of course, we look for properties…

math.AP2018

Existence of regular time-periodic solution to shear-thinning fluids

Anna Abbatiello, Paolo Maremonti

In this note we investigate the existence of time-periodic solutions to the -Navier-Stokes system in the singular case of , that describes the flows of an incompres…

math.AP2018

On the - estimates of the gradient of solutions to the Stokes problem

Paolo Maremonti

The paper is concerned with estimates of the gradient of the solutions to the Stokes IBVP both in a bounded and in an exterior domain. More precisely, we look for estimates of the…

math.AP2018

Some remarks on the partial regularity of a suitable weak solution to the Navier-Stokes Cauchy problem

F. Crispo, P. Maremonti

The aim of the paper is to investigate on some questions of local regularity of a suitable weak solution to the Navier-Stokes Cauchy problem. The results are obtained in the wake o…