7 papers
Estimates of a possible gap related to the energy equality for a class of non-Newtonian fluids
Francesca Crispo, Angelica Pia Di Feola, Carlo Romano Grisanti
The paper is concerned with the 3D-initial value problem for power-law fluids with shear dependent viscosity in a spatially periodic domain. The goal is the construction of a weak…
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…
The Caccioppoli Ultrafunctions
Vieri Benci, Luigi Carlo Berselli, Carlo Romano Grisanti
Ultrafunctions are a particular class of functions defined on a hyperreal field . They have been introduced and studied in some previous works.…
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…