18 citations · 60 across the 23 of their papers we have counts for
25 papers
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…
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…
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…
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…
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…
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…
The Navier-Stokes equations: on the existence of a weak solution enjoying the energy equality
Paolo Maremonti
Under the assumption of an initial datum divergence free and in L2, we prove the existence of a weak solution to the Navier-Stokes initial boundary value problem enjoying the energ…
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…
Navier-Stokes equations: a new estimate of a possible gap related to the energy equality of a suitable weak solution
Paolo Maremonti, Francesca Crispo, Carlo Romano Grisanti
The paper is concerned with the IBVP of the Navier-Stokes equations. The result of the paper is in the wake of analogous results obtained by the authors in previous articles [4, 5]…
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…
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…
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…
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…
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…
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}(…
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…
A note on the Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations
Paolo Maremonti
The paper is concerned with the regularity of weak solutions to the Navier-Stokes equations. The aim is to investigate on a relaxed Prodi-Serrin condition in order to obtain regula…
Navier-Stokes flow past a rigid body: attainability of steady solutions as limits of unsteady weak solutions, starting and landing cases
Toshiaki Hishida, Paolo Maremonti
Consider the Navier-Stokes flow in 3-dimensional exterior domains, where a rigid body is translating with prescribed translational velocity with constant vector $u_…
Singular p-Laplacian parabolic system in exterior domains: higher regularity of solutions and related properties of extinction and asymptotic behavior in time
Francesca Crispo, Carlo Romano Grisanti, Paolo Maremonti
We consider the IBVP in exterior domains for the p-Laplacian parabolic system. We prove regularity up to the boundary, extinction properties for p \in ( 2n/(n+2) , 2n/(n+1) ) and e…
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…
A high regularity result of solutions to modified p-Stokes equations
Francesca Crispo, Paolo Maremonti
This paper is concerned with a special elliptic system, which can be seen as a perturbed -Laplacean system, , and, for its "shape", it is close to the -Stokes syst…
Higher regularity of solutions to the singular p-Laplacean parabolic system
Francesca Crispo, Paolo Maremonti
We study existence and regularity properties of solutions to the singular -Laplacean parabolic system in a bounded domain . The main purpose is to prove global $L^r(\varepsil…