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20122026
most citedA note on the Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations

18 citations · 60 across the 23 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.AP2018★ 9 cited

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★ 1 cited

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★ 1 cited

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…

math.AP2018

Global L^r-estimates and regularizing effect for solutions to the p(t, x) -Laplacian systems

Francesca Crispo, Paolo Maremonti, Michael Ruzicka

We consider the initial boundary value problem for the p(t, x)-Laplacian system in a bounded domain Ω. If the initial data belongs to L^{r_0}, r_0 \geq 2, we give a global L^{r_0}(…

math.AP2018★ 11 cited

Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-plane

P. Maremonti, S. Shimizu

We investigate the Navier-Stokes initial boundary value problem in the half-plane with initial data or with non decaying initial…