In this paper we consider the time evolutionary p-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negligible. We prove results of space/time regularity, showing that first-order time-derivatives and second-order space-derivatives of the velocity and first-order space-derivatives of the pressure belong to rather natural Lebesgue spaces.
On the regularity of solution to the time-dependent p-Stokes system
Luigi C. Berselli;
2020-01-01
Abstract
In this paper we consider the time evolutionary p-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negligible. We prove results of space/time regularity, showing that first-order time-derivatives and second-order space-derivatives of the velocity and first-order space-derivatives of the pressure belong to rather natural Lebesgue spaces.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
regularity.pdf
accesso aperto
Tipologia:
Documento in Post-print
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
357.73 kB
Formato
Adobe PDF
|
357.73 kB | Adobe PDF | Visualizza/Apri |
Opuscula-2020.pdf
accesso aperto
Descrizione: Versione editoriale open access
Tipologia:
Versione finale editoriale
Licenza:
Creative commons
Dimensione
565.1 kB
Formato
Adobe PDF
|
565.1 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.